106996010598400
106,996,010,598,400 is an even composite number composed of six prime numbers multiplied together.
106996010598400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 106996010598400:
214 × 52 × 7 × 113 × 232 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 11 × 23 × 23 × 53)See below for interesting mathematical facts about the number 106996010598400 from the Numbermatics database.
Names of 106996010598400
- Cardinal: 106996010598400 can be written as One hundred six trillion, nine hundred ninety-six billion, ten million, five hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.069960105984 × 1014
Factors of 106996010598400
Divisors of 106996010598400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 25 28 32 35 40 44 46 50 53 55 56 64 70 77 80 88 92 100 106 110 112 115 121 128 140 154 160 161 175 176 184 200 212 220 224 230 242 253 256 265 275 280 308 320 322 350 352 368 371 385 400 424 440 448 460 484 506 512 529 530 550 560 575 583 605 616 640 644 700 704 736 742 770 800 805 847 848 880 896 920 968 1012 1024 1058 1060 1100 1120 1150 1166 1210 1219 1232 1265 1280 1288 1325 1331 1400 1408 1472 1484 1540 1600 1610 1694 1696 1760 1771 1792 1840 1855 1925 1936 2024 2048 2116 2120 2200 2240 2300 2332 2420 2438 2464 2530 2560 2576 2645 2650 2662 2783 2800 2816 2915 2944 2968 3025 3080 3200 3220 3388 3392 3520 3542 3584 3680 3703 3710 3850 3872 4025 4048 4081 4096 4232 4235 4240 4400 4480 4600 4664 4840 4876 4928 5060 5120 5152 5290 5300 5324 5566 5600 5632 5819 5830 5888 5936 6050 6095 6160 6325 6400 6413 6440 6655 6776 6784 7040 7084 7168 7360 7406 7420 7700 7744 8050 8096 8162 8192 8464 8470 8480 8533 8800 8855 8960 9200 9275 9317 9328 9680 9752 9856 10120 10240 10304 10580 10600 10648 11132 11200 11264 11638 11660 11776 11872 12100 12190 12320 12650 12800 12826 12880 13225 13310 13409 13552 13568 13915 14080 14168 14336 14575 14720 14812 14840 15400 15488 16100 16192 16324 16384 16928 16940 16960 17066 17600 17710 17920 18400 18515 18550 18634 18656 19360 19481 19504 19712 20240 20405 20480 20608 21160 21175 21200 21296 22264 22400 22528 23276 23320 23552 23744 24200 24380 24640 25300 25600 25652 25760 26450 26620 26818 27104 27136 27830 28037 28160 28336 28672 29095 29150 29440 29624 29680 30475 30613 30800 30976 32065 32200 32384 32648 33275 33856 33880 33920 34132 35200 35420 35840 36800 37030 37100 37268 37312 38720 38962 39008 39424 40480 40733 40810 40960 41216 42320 42350 42400 42592 42665 44275 44528 44800 44891 45056 46552 46585 46640 47104 47488 48400 48760 49280 50600 51200 51304 51520 52900 53240 53636 54208 54272 55660 56074 56320 56672 57344 58190 58300 58880 59248 59360 60950 61226 61600 61952 64009 64130 64400 64768 65296 66550 67045 67712 67760 67840 68264 69575 70400 70543 70840 71680 73600 74060 74200 74536 74624 77440 77924 78016 78848 80960 81466 81620 81920 82432 84640 84700 84800 85184 85330 88550 89056 89600 89782 90112 92575 93104 93170 93280 93863 94208 94976 96800 97405 97520 98560 101200 102025 102400 102608 103040 105800 106480 107272 108416 108544 111320 112148 112640 113344 114688 116380 116600 117760 118496 118720 121900 122452 123200 123904 128018 128260 128800 129536 130592 133100 134090 135424 135520 135680 136528 139150 140185 140800 141086 141680 143360 145475 147200 147499 148120 148400 149072 149248 153065 154880 155848 156032 157696 160325 161920 162932 163240 164864 169280 169400 169600 170368 170660 177100 178112 179200 179564 180224 185150 186208 186340 186560 187726 188416 189952 193600 194810 195040 196259 197120 202400 203665 204050 204800 205216 206080 211600 212960 213325 214291 214544 216832 217088 222640 224296 224455 225280 226688 232760 232925 233200 235520 236992 237440 243800 244904 246400 247808 256036 256520 257600 259072 261184 266200 268180 270848 271040 271360 273056 278300 280370 281600 282172 283360 286720 290950 294400 294998 296240 296800 298144 298496 306130 308407 309760 311696 312064 315392 320045 320650 323840 325864 326480 329728 335225 338560 338800 339200 340736 341320 352715 354200 356224 358400 359128 370300 372416 372680 373120 375452 376832 379904 387200 389620 390080 392518 394240 404800 407330 408100 409600 410432 412160 423200 425920 426650 428582 429088 433664 434176 445280 448063 448592 448910 450560 453376 465520 465850 466400 469315 471040 473984 474880 487025 487600 489808 492800 493801 495616 512072 513040 515200 518144 522368 532400 536360 541696 542080 542720 546112 556600 560740 563200 564344 566720 573440 581900 588800 589996 592480 593600 596288 596992 612260 616814 619520 623392 624128 630784 640090 641300 647680 651728 652960 659456 670450 677120 677600 678400 681472 682640 700925 704099 705430 708400 712448 716800 718256 737495 740600 744832 745360 746240 750904 759808 765325 774400 779240 780160 785036 788480 809600 814660 816200 820864 824320 846400 851840 853300 857164 858176 867328 868352 890560 896126 897184 897820 901120 906752 931040 931700 932800 938630 942080 947968 949760 974050 975200 979616 981295 985600 987602 991232 1018325 1024144 1026080 1030400 1032493 1036288 1044736 1064800 1071455 1072720 1083392 1084160 1085440 1092224 1113200 1121480 1122275 1126400 1128688 1133440 1163800 1177600 1179992 1184960 1187200 1192576 1193984 1224520 1233628 1239040 1246784 1248256 1261568 1280180 1282600 1295360 1303456 1305920 1318912 1340900 1354240 1355200 1356800 1362944 1365280 1401850 1408198 1410860 1416800 1424896 1433600 1436512 1474990 1481200 1489664 1490720 1492480 1501808 1519616 1530650 1542035 1548800 1558480 1560320 1570072 1576960 1600225 1619200 1622489 1629320 1632400 1641728 1648640 1692800 1703680 1706600 1714328 1716352 1734656 1763575 1781120 1792252 1794368 1795640 1813504 1862080 1863400 1865600 1877260 1884160 1895936 1899520 1948100 1950400 1959232 1962590 1971200 1975204 1982464 2036650 2048288 2052160 2060800 2064986 2072576 2089472 2129600 2142910 2145440 2158849 2166784 2168320 2170880 2184448 2226400 2240315 2242960 2244550 2252800 2257376 2266880 2327600 2346575 2355200 2359984 2369920 2374400 2385152 2387968 2449040 2467256 2469005 2478080 2493568 2496512 2560360 2565200 2590720 2606912 2611840 2637824 2681800 2708480 2710400 2713600 2725888 2730560 2803700 2816396 2821720 2833600 2849792 2867200 2873024 2949980 2962400 2979328 2981440 2984960 3003616 3039232 3061300 3084070 3097600 3116960 3120640 3140144 3153920 3200450 3238400 3244978 3258640 3264800 3283456 3297280 3385600 3392477 3407360 3413200 3428656 3432704 3469312 3520495 3527150 3562240 3584504 3588736 3591280 3627008 3687475 3724160 3726800 3731200 3754520 3791872 3799040 3896200 3900800 3918464 3925180 3942400 3950408 4073300 4096576 4104320 4121600 4129972 4145152 4178944 4259200 4285820 4290880 4317698 4333568 4336640 4341760 4368896 4452800 4480630 4485920 4489100 4505600 4514752 4533760 4655200 4693150 4710400 4719968 4739840 4748800 4770304 4775936 4898080 4906475 4928693 4934512 4938010 4956160 4987136 4993024 5120720 5130400 5162465 5181440 5213824 5223680 5357275 5363600 5416960 5420800 5427200 5451776 5461120 5607400 5632792 5643440 5667200 5699584 5746048 5899960 5924800 5958656 5962880 5969920 6007232 6078464 6122600 6168140 6195200 6233920 6241280 6280288 6307840 6400900 6476800 6489956 6517280 6529600 6566912 6594560 6771200 6784954 6814720 6826400 6857312 6865408 6938624 7040990 7054300 7124480 7169008 7177472 7182560 7254016 7374950 7448320 7453600 7462400 7509040 7583744 7598080 7710175 7792400 7801600 7836928 7850360 7884800 7900816 8112445 8146600 8193152 8208640 8243200 8259944 8357888 8518400 8571640 8581760 8635396 8667136 8673280 8737792 8905600 8961260 8971840 8978200 9029504 9067520 9310400 9386300 9420800 9439936 9479680 9497600 9540608 9551872 9796160 9812950 9857386 9869024 9876020 9912320 9974272 9986048 10241440 10260800 10324930 10362880 10427648 10447360 10714550 10727200 10794245 10833920 10841600 10854400 10903552 10922240 11201575 11214800 11265584 11286880 11334400 11357423 11399168 11492096 11799920 11849600 11917312 11925760 11939840 12014464 12245200 12336280 12345025 12390400 12467840 12482560 12560576 12801800 12953600 12979912 13034560 13059200 13133824 13189120 13542400 13569908 13629440 13652800 13714624 13730816 13877248 14081980 14108600 14248960 14338016 14354944 14365120 14508032 14749900 14896640 14907200 14924800 15018080 15167488 15196160 15420350 15584800 15603200 15673856 15700720 15769600 15801632 16224890 16293200 16386304 16417280 16486400 16519888 16715776 16962385 17036800 17143280 17163520 17270792 17346560 17475584 17602475 17811200 17922520 17943680 17956400 18059008 18135040 18620800 18772600 18879872 18959360 18995200 19081216 19592320 19625900 19714772 19738048 19752040 19948544 19972096 20482880 20521600 20649860 20725760 20855296 20894720 21429100 21454400 21588490 21667840 21683200 21708800 21807104 21844480 22403150 22429600 22531168 22573760 22668800 22714846 22798336 22984192 23599840 23699200 23747339 23834624 23851520 23879680 24028928 24490400 24643465 24672560 24690050 24780800 24935680 24965120 25121152 25603600 25812325 25907200 25959824 26069120 26118400 26267648 27084800 27139816 27258880 27305600 27429248 27461632 28163960 28217200 28497920 28676032 28709888 28730240 29016064 29499800 29793280 29814400 29849600 30036160 30334976 30392320 30840700 31169600 31206400 31347712 31401440 31539200 31603264 32449780 32586400 32772608 32834560 32972800 33039776 33431552 33924770 34073600 34286560 34327040 34541584 34693120 34951168 35204950 35622400 35845040 35887360 35912800 36118016 36270080 37241600 37317247 37545200 37759744 37918720 37990400 38162432 39184640 39251800 39429544 39476096 39504080 39897088 40562225 40965760 41043200 41299720 41710592 41789440 42858200 42908800 43176980 43335680 43366400 43688960 44806300 44859200 45062336 45147520 45337600 45429692 45596672 45968384 47199680 47398400 47494678 47669248 47703040 47759360 48057856 48980800 49286930 49345120 49380100 49561600 49871360 49930240 50242304 51207200 51624650 51814400 51919648 52138240 52236800 52535296 53971225 54169600 54279632 54517760 54611200 54858496 54923264 56327920 56434400 56787115 56995840 57352064 57419776 57460480 58999600 59586560 59628800 59699200 60072320 60669952 61681400 62339200 62412800 62695424 62802880 63206528 64899560 65172800 65545216 65669120 65945600 66079552 66863104 67849540 68147200 68573120 68654080 69083168 69386240 69902336 70409900 71244800 71690080 71774720 71825600 72236032 72540160 74483200 74634494 75090400 75519488 75837440 75980800 76324864 78369280 78503600 78859088 78952192 79008160 79794176 81124450 81931520 82086400 82599440 83421184 83578880 84811925 85716400 85817600 86353960 86732800 87377920 89612600 89718400 90124672 90295040 90675200 90859384 91936768 94399360 94796800 94989356 95338496 95406080 96115712 97961600 98573860 98690240 98760200 99742720 99860480 100484608 102414400 103249300 103628800 103839296 104276480 104473600 105070592 107942450 108339200 108559264 109035520 109222400 109716992 109846528 112655840 112868800 113574230 113991680 114704128 114839552 114920960 117999200 118736695 119173120 119257600 119398400 120144640 123217325 123362800 124678400 124825600 125390848 125605760 126413056 129799120 130345600 131090432 131338240 132159104 135699080 136294400 137146240 137308160 138166336 139804672 140819800 142489600 143380160 143549440 143651200 144472064 145080320 148966400 149268988 150180800 151038976 151674880 151961600 152649728 156738560 157007200 157718176 157904384 158016320 159588352 162248900 163863040 164172800 165198880 166842368 167157760 169623850 171432800 171635200 172707920 173465600 174755840 179225200 179436800 180249344 180590080 181350400 181718768 183873536 186586235 188798720 189593600 189978712 190812160 192231424 195923200 197147720 197380480 197520400 199485440 200969216 204828800 206498600 207678592 208552960 208947200 215884900 216678400 217118528 218444800 219433984 219693056 225311680 225737600 227148460 227983360 229408256 229679104 229841920 235998400 237473390 238346240 238515200 238796800 240289280 246434650 246725600 249356800 249651200 250781696 251211520 252826112 259598240 260691200 261220729 262180864 262676480 264318208 271398160 272588800 274292480 274616320 276332672 281639600 283935575 284979200 286760320 287098880 287302400 288944128 297932800 298537976 300361600 302077952 303349760 313477120 314014400 315436352 315808768 316032640 319176704 324497800 327726080 328345600 330397760 333684736 334315520 339247700 342865600 343270400 345415840 346931200 349511680 358450400 358873600 360498688 361180160 362700800 363437536 367747072 373172470 377597440 379187200 379957424 381624320 384462848 391846400 394295440 394760960 395040800 398970880 401938432 409657600 412997200 415357184 417105920 417894400 431769800 434237056 436889600 438867968 450623360 451475200 454296920 458816512 459358208 459683840 471996800 474946780 476692480 477030400 480578560 492869300 493451200 498713600 499302400 501563392 502423040 505652224 519196480 521382400 522441458 524361728 525352960 528636416 542796320 545177600 548584960 549232640 552665344 563279200 567871150 569958400 573520640 574197760 574604800 577888256 593683475 595865600 597075952 600723200 604155904 626954240 628028800 630872704 631617536 632065280 648995600 655452160 656691200 660795520 667369472 678495400 685731200 686540800 690831680 699023360 716900800 717747200 720997376 722360320 725401600 726875072 735494144 746344940 755194880 758374400 759914848 763248640 768925696 783692800 788590880 789521920 790081600 797941760 803876864 819315200 825994400 830714368 834211840 835788800 863539600 868474112 873779200 877735936 901246720 902950400 908593840 917633024 919367680 932931175 943993600 949893560 954060800 961157120 985738600 986902400 997427200 1004846080 1011304448 1038392960 1042764800 1044882916 1048723456 1057272832 1085592640 1097169920 1098465280 1105330688 1126558400 1135742300 1139916800 1147041280 1148395520 1149209600 1155776512 1187366950 1191731200 1194151904 1201446400 1208311808 1253908480 1256057600 1261745408 1263235072 1264130560 1297991200 1306103645 1310904320 1313382400 1321591040 1356990800 1371462400 1373081600 1381663360 1433801600 1435494400 1441994752 1444720640 1453750144 1492689880 1510389760 1516748800 1519829696 1537851392 1567385600 1577181760 1579043840 1580163200 1595883520 1607753728 1638630400 1651988800 1661428736 1668423680 1671577600 1727079200 1736948224 1747558400 1755471872 1802493440 1805900800 1817187680 1835266048 1838735360 1865862350 1887987200 1899787120 1908121600 1922314240 1971477200 1973804800 1994854400 2009692160 2022608896 2076785920 2085529600 2089765832 2114545664 2171185280 2194339840 2210661376 2253116800 2271484600 2294082560 2296791040 2298419200 2374733900 2383462400 2388303808 2402892800 2416623616 2507816960 2512115200 2523490816 2526470144 2528261120 2595982400 2612207290 2621808640 2626764800 2643182080 2713981600 2742924800 2746163200 2763326720 2867603200 2870988800 2883989504 2889441280 2907500288 2985379760 3020779520 3039659392 3134771200 3154363520 3158087680 3160326400 3215507456 3277260800 3303977600 3322857472 3336847360 3454158400 3473896448 3495116800 3510943744 3604986880 3611801600 3634375360 3670532096 3677470720 3731724700 3775974400 3799574240 3816243200 3844628480 3942954400 3947609600 3989708800 4019384320 4045217792 4153571840 4171059200 4179531664 4229091328 4342370560 4388679680 4421322752 4506233600 4542969200 4588165120 4596838400 4749467800 4776607616 4805785600 5024230400 5046981632 5052940288 5056522240 5191964800 5224414580 5243617280 5286364160 5427963200 5485849600 5492326400 5526653440 5735206400 5741977600 5767979008 5778882560 5815000576 5970759520 6041559040 6079318784 6269542400 6308727040 6316175360 6320652800 6530518225 6554521600 6607955200 6645714944 6908316800 6947792896 7209973760 7223603200 7268750720 7341064192 7463449400 7551948800 7599148480 7689256960 7885908800 7895219200 7979417600 8038768640 8090435584 8307143680 8342118400 8359063328 8458182656 8684741120 8777359360 8842645504 9012467200 9085938400 9176330240 9193676800 9498935600 9553215232 9611571200 10048460800 10093963264 10113044480 10383929600 10448829160 10572728320 10855926400 10971699200 11053306880 11470412800 11483955200 11535958016 11630001152 11941519040 12083118080 12158637568 12539084800 12617454080 12632350720 12641305600 13061036450 13109043200 13215910400 13291429888 13816633600 13895585792 14419947520 14447206400 14537501440 14926898800 15103897600 15198296960 15771817600 15790438400 16077537280 16614287360 16684236800 16718126656 16916365312 17369482240 17554718720 17685291008 18024934400 18171876800 18352660480 18387353600 18997871200 19106430464 19223142400 20096921600 20187926528 20226088960 20767859200 20897658320 21145456640 21711852800 21943398400 22106613760 22940825600 23260002304 23883038080 24317275136 25234908160 25264701440 25282611200 26122072900 26218086400 26431820800 26582859776 27633267200 27791171584 28839895040 28894412800 29075002880 29853797600 30207795200 30396593920 31543635200 31580876800 33228574720 33436253312 34738964480 35370582016 36049868800 36343753600 36705320960 37995742400 38212860928 38446284800 40193843200 40375853056 40452177920 41535718400 41795316640 42290913280 43423705600 43886796800 44213227520 45881651200 46520004608 47766076160 48634550272 50469816320 50565222400 52244145800 52863641600 55266534400 55582343168 57679790080 58150005760 59707595200 60415590400 60793187840 63087270400 63161753600 66457149440 66872506624 69477928960 72099737600 72687507200 75991484800 76425721856 80387686400 80751706112 83071436800 83590633280 84581826560 86847411200 87773593600 88426455040 91763302400 93040009216 95532152320 97269100544 100939632640 101130444800 104488291600 105727283200 110533068800 116300011520 119415190400 121586375680 126174540800 126323507200 132914298880 133745013248 138955857920 144199475200 145375014400 151982969600 152851443712 166142873600 167181266560 173694822400 176852910080 183526604800 186080018432 191064304640 194538201088 201879265280 202260889600 208976583200 211454566400 221066137600 232600023040 238830380800 243172751360 252349081600 267490026496 277911715840 288398950400 290750028800 303965939200 305702887424 332285747200 334362533120 347389644800 382128609280 389076402176 403758530560 417953166400 422909132800 442132275200 465200046080 477660761600 486345502720 504698163200 534980052992 581500057600 607931878400 611405774848 664571494400 668725066240 694779289600 764257218560 835906332800 884264550400 930400092160 955321523200 972691005440 1009396326400 1069960105984 1163000115200 1215863756800 1337450132480 1389558579200 1528514437120 1671812665600 1910643046400 1945382010880 2018792652800 2139920211968 2326000230400 2431727513600 2674900264960 3057028874240 3343625331200 3821286092800 4279840423936 4652000460800 4863455027200 5349800529920 6687250662400 7642572185600 9726910054400 10699601059840 13374501324800 15285144371200 21399202119680 26749002649600 53498005299200 106996010598400
- Sum of all divisors σ(n): 355261651049088
- Sum of proper divisors (its aliquot sum) s(n): 248265640450688
- 106996010598400 is an abundant number, because the sum of its proper divisors (248265640450688) is greater than itself. Its abundance is 141269629852288
Bases of 106996010598400
- Binary: 110000101001111111100110011010001000000000000002
- Hexadecimal: 0x614FF3344000
- Base-36: 11XDAE5L34
Squares and roots of 106996010598400
- 106996010598400 squared (1069960105984002) is 11448146283972925126082560000
- 106996010598400 cubed (1069960105984003) is 1224905981132000672848979246033403904000000
-
The
square root of 106996010598400 is 10343887.5959863371 -
The
cube root of 106996010598400 is 47474.0039616355
Scales and comparisons
How big is 106996010598400?- 106,996,010,598,400 seconds is equal to 3,402,142 years, 9 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 106,996,010,598,400 would take you about eight million, five hundred five thousand, three hundred fifty-five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 106996010598400 cubic inches would be around 3956.2 feet tall.
Recreational maths with 106996010598400
- 106996010598400 backwards is 004895010699601
- The number of decimal digits it has is: 15
- The sum of 106996010598400's digits is 58
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 106996010598400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 106996010598400 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/106996010598400/
Chicago style:
Numbermatics. 2024. "Number 106996010598400 - Facts about the integer". https://numbermatics.com/n/106996010598400/
The information we have on file for 106996010598400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 106996010598400, math, Factors of 106996010598400, curriculum, school, college, exams, university, Prime factorization of 106996010598400, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, nine hundred ninety-six billion, ten million, five hundred ninety-eight thousand, four hundred.