107006892134400
107,006,892,134,400 is an even composite number composed of six prime numbers multiplied together.
107006892134400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 107006892134400:
212 × 35 × 52 × 41 × 53 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 41 × 53 × 1979)See below for interesting mathematical facts about the number 107006892134400 from the Numbermatics database.
Names of 107006892134400
- Cardinal: 107006892134400 can be written as One hundred seven trillion, six billion, eight hundred ninety-two million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.070068921344 × 1014
Factors of 107006892134400
Divisors of 107006892134400
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 53 54 60 64 72 75 80 81 82 90 96 100 106 108 120 123 128 135 144 150 159 160 162 164 180 192 200 205 212 216 225 240 243 246 256 265 270 288 300 318 320 324 328 360 369 384 400 405 410 424 432 450 477 480 486 492 512 530 540 576 600 615 636 640 648 656 675 720 738 768 795 800 810 820 848 864 900 954 960 972 984 1024 1025 1060 1080 1107 1152 1200 1215 1230 1272 1280 1296 1312 1325 1350 1431 1440 1476 1536 1590 1600 1620 1640 1696 1728 1800 1845 1908 1920 1944 1968 1979 2025 2048 2050 2120 2160 2173 2214 2304 2385 2400 2430 2460 2544 2560 2592 2624 2650 2700 2862 2880 2952 3072 3075 3180 3200 3240 3280 3321 3392 3456 3600 3690 3816 3840 3888 3936 3958 3975 4050 4096 4100 4240 4293 4320 4346 4428 4608 4770 4800 4860 4920 5088 5120 5184 5248 5300 5400 5535 5724 5760 5904 5937 6075 6144 6150 6360 6400 6480 6519 6560 6642 6784 6912 7155 7200 7380 7632 7680 7776 7872 7916 7950 8100 8200 8480 8586 8640 8692 8856 9216 9225 9540 9600 9720 9840 9895 9963 10176 10240 10368 10496 10600 10800 10865 11070 11448 11520 11808 11874 11925 12150 12288 12300 12720 12800 12879 12960 13038 13120 13284 13568 13824 14310 14400 14760 15264 15360 15552 15744 15832 15900 16200 16400 16605 16960 17172 17280 17384 17712 17811 18432 18450 19080 19200 19440 19557 19680 19790 19926 20352 20480 20736 20992 21200 21465 21600 21730 22140 22896 23040 23616 23748 23850 24300 24600 25440 25600 25758 25920 26076 26240 26568 27136 27648 27675 28620 28800 29520 29685 30528 30720 31104 31488 31664 31800 32400 32595 32800 33210 33920 34344 34560 34768 35424 35622 35775 36864 36900 38160 38400 38880 39114 39360 39580 39852 40704 41472 41984 42400 42930 43200 43460 44280 45792 46080 47232 47496 47700 48600 49200 49475 49815 50880 51200 51516 51840 52152 52480 53136 53433 54272 54325 55296 55350 57240 57600 58671 59040 59370 61056 61440 62208 62976 63328 63600 64395 64800 65190 65600 66420 67840 68688 69120 69536 70848 71244 71550 73800 76320 76800 77760 78228 78720 79160 79704 81139 81408 82944 83025 83968 84800 85860 86400 86920 88560 89055 91584 92160 94464 94992 95400 97200 97785 98400 98950 99630 101760 102400 103032 103680 104304 104887 104960 106272 106866 107325 108544 108650 110592 110700 114480 115200 117342 118080 118740 122112 124416 125952 126656 127200 128790 129600 130380 131200 132840 135680 137376 138240 139072 141696 142488 143100 147600 148425 152640 153600 155520 156456 157440 158320 159408 160299 162278 162816 162975 165888 166050 167936 169600 171720 172800 173840 176013 177120 178110 183168 184320 188928 189984 190800 194400 195570 196800 197900 199260 203520 206064 207360 208608 209774 209920 212544 213732 214650 217088 217300 221400 228960 230400 234684 236160 237480 243417 244224 248832 249075 251904 253312 254400 257580 259200 260760 262400 265680 267165 271360 274752 276480 278144 283392 284976 286200 293355 295200 296850 305280 307200 311040 312912 314661 314880 316640 318816 320598 321975 324556 325632 325950 331776 332100 339200 343440 345600 347680 352026 354240 356220 366336 377856 379968 381600 388800 391140 393600 395800 398520 405695 407040 412128 414720 417216 419548 419840 425088 427464 429300 434600 442800 445275 457920 460800 469368 472320 474960 480897 486834 488448 488925 497664 498150 503808 506624 508800 515160 518400 521520 524435 524800 528039 531360 534330 542720 549504 552960 556288 566784 569952 572400 586710 590400 593700 610560 622080 625824 629322 629760 633280 637632 641196 643950 649112 651264 651900 664200 678400 686880 691200 695360 704052 708480 712440 730251 732672 755712 759936 763200 777600 782280 787200 791600 797040 801495 811390 814080 824256 829440 834432 839096 839680 850176 854928 858600 869200 880065 885600 890550 915840 921600 938736 943983 944640 949920 961794 973668 976896 977850 995328 996300 1013248 1017600 1030320 1036800 1043040 1048870 1049600 1056078 1062720 1068660 1085440 1099008 1112576 1133568 1139904 1144800 1173420 1180800 1187400 1217085 1221120 1244160 1251648 1258644 1259520 1266560 1275264 1282392 1287900 1298224 1303800 1328400 1335825 1356800 1373760 1382400 1390720 1408104 1416960 1424880 1460502 1465344 1466775 1511424 1519872 1526400 1555200 1564560 1573305 1574400 1583200 1594080 1602990 1622780 1628160 1648512 1658880 1668864 1678192 1700352 1709856 1717200 1738400 1760130 1771200 1781100 1831680 1877472 1887966 1889280 1899840 1923588 1947336 1953792 1955700 1992600 2026496 2028475 2035200 2060640 2073600 2086080 2097740 2099200 2112156 2125440 2137320 2190753 2198016 2225152 2267136 2279808 2289600 2346840 2361600 2374800 2404485 2434170 2442240 2488320 2503296 2517288 2519040 2533120 2550528 2564784 2575800 2596448 2607600 2622175 2640195 2656800 2671650 2713600 2747520 2764800 2781440 2816208 2831949 2833920 2849760 2921004 2930688 2933550 3039744 3052800 3110400 3129120 3146610 3148800 3166400 3188160 3205980 3245560 3256320 3297024 3337728 3356384 3400704 3419712 3434400 3476800 3520260 3542400 3562200 3651255 3663360 3754944 3775932 3778560 3799680 3847176 3894672 3911400 3985200 4007475 4052992 4056950 4070400 4121280 4147200 4172160 4195480 4198400 4224312 4250880 4274640 4300367 4381506 4396032 4400325 4450304 4534272 4559616 4579200 4693680 4719915 4723200 4749600 4808970 4868340 4884480 4976640 5006592 5034576 5066240 5101056 5129568 5151600 5192896 5215200 5244350 5280390 5313600 5343300 5427200 5495040 5562880 5632416 5663898 5667840 5699520 5842008 5861376 5867100 6079488 6085425 6105600 6220800 6258240 6293220 6297600 6332800 6376320 6411960 6491120 6572259 6594048 6675456 6712768 6801408 6839424 6868800 6953600 7040520 7084800 7124400 7302510 7326720 7509888 7551864 7557120 7599360 7694352 7789344 7822800 7866525 7970400 8014950 8105984 8113900 8140800 8242560 8294400 8344320 8390960 8448624 8495847 8501760 8549280 8600734 8763012 8792064 8800650 8900608 9119232 9158400 9387360 9439830 9446400 9499200 9617940 9736680 9768960 10013184 10069152 10132480 10202112 10259136 10303200 10385792 10430400 10488700 10560780 10627200 10686600 10953765 10990080 11125760 11264832 11327796 11335680 11399040 11684016 11734200 12022425 12158976 12170850 12211200 12441600 12516480 12586440 12595200 12665600 12752640 12823920 12901101 12982240 13144518 13188096 13200975 13350912 13425536 13602816 13678848 13737600 13907200 14081040 14159745 14169600 14248800 14605020 14653440 15019776 15103728 15198720 15388704 15578688 15645600 15733050 15940800 16029900 16227800 16281600 16485120 16688640 16781920 16897248 16991694 17003520 17098560 17201468 17526024 17584128 17601300 18238464 18256275 18316800 18774720 18879660 18892800 18998400 19235880 19473360 19716777 20026368 20138304 20264960 20404224 20518272 20606400 20771584 20860800 20977400 21121560 21254400 21373200 21501835 21907530 21980160 22251520 22529664 22655592 22671360 22798080 23368032 23468400 23599575 24044850 24317952 24341700 24422400 24883200 25032960 25172880 25331200 25487541 25505280 25647840 25802202 25964480 26289036 26376192 26401950 26701824 26851072 27357696 27475200 27814400 28162080 28319490 28339200 28497600 29210040 29306880 30039552 30207456 30397440 30777408 31157376 31291200 31466100 31881600 32059800 32455600 32861295 32970240 33377280 33563840 33794496 33983388 34007040 34197120 34402936 35052048 35202600 36476928 36512550 36633600 37549440 37759320 37785600 37996800 38471760 38703303 38946720 39433554 40052736 40276608 40529920 40808448 41036544 41212800 41543168 41721600 41954800 42243120 42479235 42508800 42746400 43003670 43815060 43960320 44503040 45059328 45311184 45596160 46736064 46936800 47199150 48089700 48683400 48844800 50065920 50345760 50662400 50975082 51010560 51295680 51604404 51928960 52578072 52752384 52803900 53702144 54715392 54768825 54950400 55628800 56324160 56638980 56678400 56995200 58420080 60079104 60414912 60794880 61554816 62314752 62582400 62932200 63763200 64119600 64505505 64911200 65722590 65940480 66754560 67127680 67588992 67966776 68014080 68394240 68805872 70104096 70405200 70798725 72953856 73025100 73267200 75098880 75518640 75993600 76943520 77406606 77893440 78867108 80105472 80553216 82073088 82425600 83086336 83443200 83909600 84486240 84958470 85017600 85492800 86007340 87630120 87920640 90118656 90622368 91192320 93472128 93873600 94398300 96179400 97366800 98583885 100131840 100691520 101324800 101950164 102021120 102591360 103208808 103857920 105156144 105607800 107404288 107509175 109430784 109537650 109900800 111257600 112648320 113277960 113356800 113990400 116109909 116840160 120158208 120829824 121589760 123109632 124629504 125164800 125864400 127437705 127526400 128239200 129011010 129822400 131445180 131880960 133509120 134255360 135177984 135933552 136788480 137611744 140208192 140810400 141597450 146050200 146534400 150197760 151037280 151987200 153887040 154813212 155786880 157734216 161106432 164146176 164306475 164851200 166172672 166886400 167819200 168972480 169916940 170035200 170985600 172014680 175260240 180237312 181244736 182384640 186944256 187747200 188796600 192358800 193516515 194733600 197167770 200263680 201383040 202649600 203900328 204042240 205182720 206417616 207715840 210312288 211215600 212396175 214808576 215018350 218861568 219075300 219801600 222515200 225296640 226555920 227980800 232219818 233680320 240316416 241659648 246219264 249259008 250329600 251728800 254875410 255052800 256478400 258022020 259644800 262890360 263761920 268510720 270355968 271867104 273576960 275223488 280416384 281620800 283194900 292100400 300395520 302074560 303974400 307774080 309626424 311573760 315468432 322212864 322527525 328292352 328612950 329702400 332345344 333772800 335638400 337944960 339833880 340070400 341971200 344029360 348329727 350520480 360474624 362489472 364769280 373888512 375494400 377593200 384717600 387033030 389467200 394335540 400527360 402766080 407800656 410365440 412835232 415431680 420624576 422431200 424792350 429617152 430036700 438150600 439603200 450593280 453111840 455961600 464439636 467360640 483319296 492438528 492919425 498518016 500659200 503457600 509750820 510105600 512956800 516044040 519289600 525780720 537021440 540711936 543734208 547153920 550446976 560832768 563241600 566389800 580549545 584200800 600791040 604149120 607948800 615548160 619252848 623147520 630936864 637188525 644425728 645055050 656584704 657225900 659404800 667545600 671276800 675889920 679667760 683942400 688058720 696659454 701040960 720949248 724978944 747777024 750988800 755186400 769435200 774066060 778934400 788671080 805532160 815601312 820730880 825670464 830863360 841249152 844862400 849584700 860073400 876301200 901186560 906223680 911923200 928879272 934721280 966638592 967582575 984877056 985838850 997036032 1001318400 1006915200 1019501640 1020211200 1025913600 1032088080 1038579200 1044989181 1051561440 1074042880 1081423872 1087468416 1094307840 1100893952 1121665536 1126483200 1132779600 1161099090 1168401600 1201582080 1208298240 1231096320 1238505696 1246295040 1261873728 1274377050 1288851456 1290110100 1314451800 1318809600 1342553600 1351779840 1359335520 1367884800 1376117440 1393318908 1402081920 1449957888 1495554048 1501977600 1510372800 1538870400 1548132120 1557868800 1577342160 1611064320 1631202624 1641461760 1651340928 1661726720 1682498304 1689724800 1699169400 1720146800 1741648635 1752602400 1802373120 1812447360 1823846400 1857758544 1869442560 1933277184 1935165150 1969754112 1971677700 2002636800 2013830400 2039003280 2051827200 2064176160 2077158400 2089978362 2103122880 2148085760 2162847744 2174936832 2201787904 2243331072 2252966400 2265559200 2322198180 2336803200 2416596480 2462192640 2477011392 2492590080 2523747456 2548754100 2580220200 2628903600 2685107200 2703559680 2718671040 2735769600 2752234880 2786637816 2804163840 2899915776 2902747725 2991108096 3003955200 3020745600 3077740800 3096264240 3115737600 3154684320 3222128640 3262405248 3282923520 3302681856 3364996608 3379449600 3398338800 3440293600 3483297270 3505204800 3604746240 3624894720 3715517088 3738885120 3866554368 3870330300 3943355400 4027660800 4078006560 4103654400 4128352320 4154316800 4179956724 4206245760 4349873664 4403575808 4486662144 4505932800 4531118400 4644396360 4673606400 4833192960 4924385280 4954022784 4985180160 5047494912 5097508200 5160440400 5224945905 5257807200 5370214400 5407119360 5437342080 5471539200 5504469760 5573275632 5608327680 5799831552 5805495450 6007910400 6041491200 6155481600 6192528480 6231475200 6309368640 6444257280 6524810496 6605363712 6729993216 6758899200 6796677600 6880587200 6966594540 7010409600 7249789440 7431034176 7477770240 7740660600 7886710800 8055321600 8156013120 8207308800 8256704640 8308633600 8359913448 8412491520 8699747328 8708243175 8807151616 8973324288 9011865600 9062236800 9288792720 9347212800 9666385920 9848770560 9908045568 10094989824 10195016400 10320880800 10449891810 10515614400 10740428800 10814238720 10874684160 11008939520 11146551264 11216655360 11599663104 11610990900 12082982400 12310963200 12385056960 12462950400 12618737280 13049620992 13210727424 13459986432 13517798400 13593355200 13761174400 13933189080 14020819200 14499578880 14862068352 14955540480 15481321200 15773421600 16110643200 16312026240 16414617600 16513409280 16719826896 16824983040 17399494656 17416486350 17614303232 18023731200 18124473600 18577585440 18694425600 19332771840 19816091136 20189979648 20390032800 20641761600 20899783620 21031228800 21749368320 22017879040 22293102528 22433310720 23221981800 24165964800 24621926400 24770113920 24925900800 25237474560 26099241984 26124729525 26421454848 26919972864 27035596800 27186710400 27522348800 27866378160 28041638400 28999157760 29724136704 30962642400 31546843200 32221286400 32624052480 33026818560 33439653792 33649966080 34798989312 34832972700 36248947200 37155170880 37388851200 39632182272 40379959296 40780065600 41283523200 41799567240 42062457600 43498736640 44035758080 44586205056 44866621440 46443963600 48331929600 49243852800 49540227840 50474949120 52198483968 52249459050 52842909696 54071193600 54373420800 55044697600 55732756320 56083276800 57998315520 59448273408 61925284800 63093686400 65248104960 66053637120 66879307584 67299932160 69665945400 72497894400 74310341760 74777702400 79264364544 80759918592 81560131200 82567046400 83599134480 84124915200 86997473280 88071516160 89172410112 92887927200 96663859200 99080455680 100949898240 104396967936 104498918100 108746841600 110089395200 111465512640 112166553600 118896546816 123850569600 126187372800 130496209920 132107274240 133758615168 134599864320 139331890800 144995788800 148620683520 158528729088 163120262400 165134092800 167198268960 168249830400 173994946560 178344820224 185775854400 198160911360 201899796480 208997836200 217493683200 220178790400 222931025280 224333107200 237793093632 247701139200 252374745600 260992419840 264214548480 267517230336 278663781600 289991577600 297241367040 326240524800 330268185600 334396537920 336499660800 356689640448 371551708800 396321822720 403799592960 417995672400 434987366400 440357580800 445862050560 475586187264 495402278400 504749491200 521984839680 535034460672 557327563200 594482734080 652481049600 660536371200 668793075840 672999321600 713379280896 743103417600 792643645440 835991344800 869974732800 891724101120 990804556800 1009498982400 1070068921344 1114655126400 1188965468160 1304962099200 1321072742400 1337586151680 1426758561792 1486206835200 1671982689600 1783448202240 1981609113600 2018997964800 2140137842688 2229310252800 2377930936320 2609924198400 2675172303360 2972413670400 3343965379200 3566896404480 3963218227200 4280275685376 4458620505600 5350344606720 5944827340800 6687930758400 7133792808960 8917241011200 10700689213440 11889654681600 13375861516800 17834482022400 21401378426880 26751723033600 35668964044800 53503446067200 107006892134400
- Sum of all divisors σ(n): 415057478996160
- Sum of proper divisors (its aliquot sum) s(n): 308050586861760
- 107006892134400 is an abundant number, because the sum of its proper divisors (308050586861760) is greater than itself. Its abundance is 201043694727360
Bases of 107006892134400
- Binary: 110000101010010011110111100101101010000000000002
- Hexadecimal: 0x61527BCB5000
- Base-36: 11XIACQO00
Squares and roots of 107006892134400
- 107006892134400 squared (1070068921344002) is 11450474964263116587663360000
- 107006892134400 cubed (1070068921344003) is 1225279739388551011476464565259075584000000
-
The
square root of 107006892134400 is 10344413.5713147123 -
The
cube root of 107006892134400 is 47475.6132819857
Scales and comparisons
How big is 107006892134400?- 107,006,892,134,400 seconds is equal to 3,402,488 years, 9 weeks, 1 day.
-
To count from 1 to 107,006,892,134,400 would take you about eight million, five hundred six thousand, two hundred twenty 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 107006892134400 cubic inches would be around 3956.3 feet tall.
Recreational maths with 107006892134400
- 107006892134400 backwards is 004431298600701
- 107006892134400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107006892134400's digits is 45
- More coming soon!
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"Number 107006892134400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
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Numbermatics. (2024). Number 107006892134400 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/107006892134400/
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The information we have on file for 107006892134400 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!
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