106938542796800
106,938,542,796,800 is an even composite number composed of seven prime numbers multiplied together.
106938542796800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 106938542796800:
212 × 52 × 11 × 13 × 31 × 37 × 6367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 31 × 37 × 6367)See below for interesting mathematical facts about the number 106938542796800 from the Numbermatics database.
Names of 106938542796800
- Cardinal: 106938542796800 can be written as One hundred six trillion, nine hundred thirty-eight billion, five hundred forty-two million, seven hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.069385427968 × 1014
Factors of 106938542796800
Divisors of 106938542796800
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 31 32 37 40 44 50 52 55 62 64 65 74 80 88 100 104 110 124 128 130 143 148 155 160 176 185 200 208 220 248 256 260 275 286 296 310 320 325 341 352 370 400 403 407 416 440 481 496 512 520 550 572 592 620 640 650 682 704 715 740 775 800 806 814 832 880 925 962 992 1024 1040 1100 1144 1147 1184 1240 1280 1300 1364 1408 1430 1480 1550 1600 1612 1628 1664 1705 1760 1850 1924 1984 2015 2035 2048 2080 2200 2288 2294 2368 2405 2480 2560 2600 2728 2816 2860 2960 3100 3200 3224 3256 3328 3410 3520 3575 3700 3848 3968 4030 4070 4096 4160 4400 4433 4576 4588 4736 4810 4960 5120 5200 5291 5456 5632 5720 5735 5920 6200 6367 6400 6448 6512 6656 6820 7040 7150 7400 7696 7936 8060 8140 8320 8525 8800 8866 9152 9176 9472 9620 9920 10075 10175 10240 10400 10582 10912 11264 11440 11470 11840 12025 12400 12617 12734 12800 12896 13024 13312 13640 14080 14300 14800 14911 15392 15872 16120 16280 16640 17050 17600 17732 18304 18352 18944 19240 19840 20150 20350 20480 20800 21164 21824 22165 22528 22880 22940 23680 24050 24800 25234 25468 25600 25792 26048 26455 26624 27280 28160 28600 28675 29600 29822 30784 31744 31835 32240 32560 33280 34100 35200 35464 36608 36704 37888 38480 39680 40300 40700 41600 42328 43648 44330 45056 45760 45880 47360 48100 49600 50468 50936 51200 51584 52096 52910 53248 54560 56320 57200 57350 59200 59644 61568 63085 63488 63670 64480 65120 66560 68200 70037 70400 70928 73216 73408 74555 75776 76960 79360 80600 81400 82771 83200 84656 87296 88660 91520 91760 94720 96200 99200 100936 101872 102400 103168 104192 105820 109120 110825 112640 114400 114700 118400 119288 123136 126170 126976 127340 128960 130240 132275 133120 136400 140074 140800 141856 146432 146816 149110 151552 153920 158720 159175 161200 162800 164021 165542 166400 169312 174592 177320 183040 183520 189440 192400 197377 198400 201872 203744 206336 208384 211640 218240 221650 225280 228800 229400 235579 236800 238576 246272 252340 254680 257920 260480 264550 266240 272800 280148 281600 283712 292864 293632 298220 307840 315425 317440 318350 322400 325600 328042 331084 332800 338624 349184 350185 354640 366080 367040 372775 378880 384800 394754 396800 403744 407488 412672 413855 416768 423280 436480 443300 457600 458800 471158 473600 477152 492544 504680 509360 515840 520960 529100 545600 560296 563200 567424 585728 587264 596440 615680 630850 634880 636700 644800 651200 656084 662168 665600 677248 698368 700370 709280 732160 734080 745550 757760 769600 789508 793600 807488 814976 820105 825344 827710 833536 846560 872960 886600 910481 915200 917600 942316 947200 954304 985088 986885 1009360 1018720 1031680 1041920 1058200 1091200 1120592 1126400 1134848 1174528 1177895 1192880 1231360 1261700 1273400 1289600 1302400 1312168 1324336 1331200 1354496 1396736 1400740 1418560 1464320 1468160 1491100 1539200 1579016 1587200 1614976 1629952 1640210 1650688 1655420 1667072 1693120 1745920 1750925 1773200 1820962 1830400 1835200 1884632 1894400 1908608 1970176 1973770 2018720 2037440 2063360 2069275 2083840 2116400 2171147 2182400 2241184 2269696 2349056 2355790 2385760 2462720 2523400 2546800 2565901 2579200 2591369 2604800 2624336 2648672 2708992 2801480 2837120 2928640 2936320 2982200 3062527 3078400 3158032 3174400 3229952 3259904 3280420 3310840 3386240 3491840 3501850 3546400 3641924 3660800 3670400 3769264 3788800 3817216 3947540 4037440 4074880 4100525 4126720 4138550 4167680 4232800 4342294 4364800 4482368 4539392 4552405 4698112 4711580 4771520 4925440 4934425 5046800 5093600 5131802 5158400 5182738 5209600 5248672 5297344 5417984 5602960 5674240 5872640 5889475 5964400 6125054 6156800 6316064 6459904 6519808 6560840 6621680 6772480 6983680 7003700 7092800 7283848 7302949 7321600 7340800 7538528 7634432 7895080 8074880 8149760 8201050 8253440 8277100 8335360 8465600 8684588 8729600 8964736 9078784 9104810 9423160 9543040 9850880 9868850 10093600 10187200 10263604 10316800 10365476 10419200 10497344 10594688 10835968 10855735 11205920 11348480 11745280 11778950 11928800 12250108 12313600 12632128 12829505 12919808 12956845 13039616 13121680 13243360 13544960 14007400 14185600 14567696 14605898 14643200 14681600 15077056 15268864 15312635 15790160 16149760 16299520 16402100 16554200 16931200 17369176 17459200 17929472 18157568 18209620 18846320 19086080 19737700 20187200 20374400 20527208 20633600 20730952 20838400 20994688 21189376 21671936 21711470 22411840 22696960 22762025 23490560 23557900 23857600 24500216 24627200 25264256 25659010 25839616 25913690 26079232 26243360 26486720 27089920 28014800 28224911 28371200 29135392 29211796 29363200 30154112 30537728 30625270 31580320 32299520 32599040 32804200 33108400 33687797 33862400 34738352 34918400 35858944 36419240 36514745 37692640 38172160 39475400 40374400 40748800 41054416 41267200 41461904 41676800 41989376 42378752 43422940 44823680 45393920 45524050 47115800 47715200 49000432 49254400 50528512 51318020 51679232 51827380 52486720 52973440 54179840 54278675 56029600 56449822 56742400 58270784 58423592 58726400 60308224 61075456 61250540 63160640 64147525 64599040 64784225 65198080 65608400 66216800 67375594 67724800 69476704 71717888 72838480 73029490 75385280 76344320 76563175 78950800 80332439 80748800 81497600 82108832 82923808 83978752 84757504 86845880 89647360 90787840 91048100 94231600 94938337 95430400 98000864 101057024 102636040 103654760 104973440 105946880 108359680 108557350 112059200 112899644 113484800 116541568 116847184 117452800 120616448 122501080 126321280 128295050 129198080 129568450 130396160 131216800 132433600 134751188 135449600 138953408 141124555 143435776 145676960 146058980 150770560 152688640 153126350 157901600 160664878 161497600 162995200 164217664 165847616 167957504 168438985 169515008 173691760 179294720 182096200 182573725 188463200 189876674 190860800 196001728 202114048 205272080 207309520 209946880 211893760 217114700 224118400 225799288 226969600 233083136 233694368 241232896 245002160 252642560 256590100 258396160 259136900 262433600 264867200 269502376 270899200 277906816 282249110 286871552 291353920 292117960 301541120 305377280 306252700 315803200 321329756 322995200 325990400 328435328 331695232 335915008 336877970 339030016 347383520 358589440 364192400 365147450 376926400 379753348 381721600 392003456 401662195 404228096 410544160 414619040 419893760 423787520 434229400 448236800 451598576 453939200 466166272 467388736 474691685 482465792 490004320 505285120 513180200 518273800 524867200 529734400 539004752 541798400 555813632 564498220 582707840 584235920 603082240 612505400 631606400 642659512 645990400 651980800 656870656 663390464 671830016 673755940 694767040 705622775 717178880 728384800 730294900 753852800 759506696 763443200 784006912 803324390 808456192 821088320 829238080 839787520 842194925 847575040 868458800 896473600 903197152 932332544 934777472 949383370 964931584 980008640 1010570240 1026360400 1036547600 1044321707 1049734400 1059468800 1078009504 1111627264 1128996440 1165415680 1168471840 1206164480 1225010800 1263212800 1285319024 1291980800 1313741312 1326780928 1347511880 1389534080 1411245550 1434357760 1456769600 1460589800 1507705600 1519013392 1526886400 1568013824 1606648780 1642176640 1658476160 1679575040 1684389850 1695150080 1736917600 1792947200 1806394304 1864665088 1869554944 1898766740 1960017280 2008310975 2021140480 2052720800 2073095200 2088643414 2099468800 2118937600 2156019008 2223254528 2257992880 2330831360 2336943680 2373458425 2412328960 2450021600 2526425600 2570638048 2627482624 2653561856 2695023760 2779068160 2822491100 2913539200 2921179600 3015411200 3038026784 3136027648 3213297560 3284353280 3316952320 3359150080 3368779700 3473835200 3585894400 3612788608 3729330176 3739109888 3797533480 3920034560 4016621950 4042280960 4105441600 4146190400 4177286828 4198937600 4237875200 4312038016 4446509056 4515985760 4661662720 4673887360 4746916850 4824657920 4900043200 5052851200 5141276096 5221608535 5254965248 5307123712 5390047520 5558136320 5644982200 5827078400 5842359200 6030822400 6076053568 6272055296 6426595120 6568706560 6633904640 6737559400 6947670400 7171788800 7225577216 7478219776 7595066960 7840069120 8033243900 8210883200 8292380800 8354573656 8397875200 8475750400 8624076032 8893018112 9031971520 9323325440 9347774720 9493833700 9800086400 10105702400 10282552192 10443217070 10509930496 10614247424 10780095040 11116272640 11289964400 11654156800 11684718400 12061644800 12152107136 12544110592 12853190240 13137413120 13267809280 13475118800 13895340800 14451154432 14956439552 15190133920 15680138240 16066487800 16421766400 16584761600 16709147312 16795750400 17248152064 18063943040 18646650880 18695549440 18987667400 19600172800 20211404800 20565104384 20886434140 21560190080 22232545280 22579928800 23308313600 23369436800 24123289600 24304214272 25706380480 26108042675 26274826240 26535618560 26950237600 27790681600 28902308864 29912879104 30380267840 31360276480 32132975600 32843532800 33169523200 33418294624 34496304128 36127886080 37391098880 37975334800 39200345600 41130208768 41772868280 43120380160 44465090560 45159857600 46616627200 46738873600 48608428544 51412760960 52216085350 52549652480 53071237120 53900475200 55581363200 57804617728 60760535680 62720552960 64265951200 65687065600 66339046400 66836589248 68992608256 72255772160 74782197760 75950669600 78400691200 82260417536 83545736560 86240760320 90319715200 93233254400 93477747200 97216857088 102825521920 104432170700 107800950400 111162726400 115609235456 121521071360 128531902400 131374131200 132678092800 133673178496 137985216512 144511544320 149564395520 151901339200 156801382400 164520835072 167091473120 172481520640 180639430400 186955494400 194433714176 205651043840 208864341400 215601900800 222325452800 243042142720 257063804800 262748262400 265356185600 267346356992 289023088640 303802678400 313602764800 329041670144 334182946240 344963041280 361278860800 373910988800 388867428352 411302087680 417728682800 431203801600 486084285440 514127609600 534692713984 578046177280 607605356800 668365892480 689926082560 722557721600 747821977600 822604175360 835457365600 862407603200 972168570880 1028255219200 1069385427968 1215210713600 1336731784960 1445115443200 1645208350720 1670914731200 1724815206400 1944337141760 2056510438400 2138770855936 2430421427200 2673463569920 2890230886400 3341829462400 3449630412800 4113020876800 4277541711872 4860842854400 5346927139840 6683658924800 8226041753600 9721685708800 10693854279680 13367317849600 21387708559360 26734635699200 53469271398400 106938542796800
- Sum of all divisors σ(n): 330327348363264
- Sum of proper divisors (its aliquot sum) s(n): 223388805566464
- 106938542796800 is an abundant number, because the sum of its proper divisors (223388805566464) is greater than itself. Its abundance is 116450262769664
Bases of 106938542796800
- Binary: 110000101000010100100011101101100110000000000002
- Hexadecimal: 0x614291DB3000
- Base-36: 11WMVZB5KW
Squares and roots of 106938542796800
- 106938542796800 squared (1069385427968002) is 11435851935503025166090240000
- 106938542796800 cubed (1069385427968003) is 1222933341622658370059808558370783232000000
-
The
square root of 106938542796800 is 10341109.3600638419 -
The
cube root of 106938542796800 is 47465.5029741783
Scales and comparisons
How big is 106938542796800?- 106,938,542,796,800 seconds is equal to 3,400,314 years, 45 weeks, 4 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 106,938,542,796,800 would take you about eight million, five hundred thousand, seven hundred eighty-seven 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 106938542796800 cubic inches would be around 3955.5 feet tall.
Recreational maths with 106938542796800
- 106938542796800 backwards is 008697245839601
- The number of decimal digits it has is: 15
- The sum of 106938542796800's digits is 68
- More coming soon!
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The information we have on file for 106938542796800 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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