120746945754432
120,746,945,754,432 is an even composite number composed of six prime numbers multiplied together.
What does the number 120746945754432 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
120746945754432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 120746945754432:
26 × 33 × 192 × 31 × 372 × 4561
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 19 × 31 × 37 × 37 × 4561)See below for interesting mathematical facts about the number 120746945754432 from the Numbermatics database.
Names of 120746945754432
- Cardinal: 120746945754432 can be written as One hundred twenty trillion, seven hundred forty-six billion, nine hundred forty-five million, seven hundred fifty-four thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.20746945754432 × 1014
Factors of 120746945754432
Divisors of 120746945754432
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 37 38 48 54 57 62 64 72 74 76 93 96 108 111 114 124 144 148 152 171 186 192 216 222 228 248 279 288 296 304 333 342 361 372 432 444 456 496 513 558 576 589 592 608 666 684 703 722 744 837 864 888 912 992 999 1026 1083 1116 1147 1178 1184 1216 1332 1368 1369 1406 1444 1488 1674 1728 1767 1776 1824 1984 1998 2052 2109 2166 2232 2294 2356 2368 2664 2736 2738 2812 2888 2976 3249 3348 3441 3534 3552 3648 3996 4104 4107 4218 4332 4464 4561 4588 4712 5301 5328 5472 5476 5624 5776 5952 6327 6498 6696 6882 7068 7104 7992 8208 8214 8436 8664 8928 9122 9176 9424 9747 10323 10602 10656 10944 10952 11191 11248 11552 12321 12654 12996 13357 13392 13683 13764 14136 15903 15984 16416 16428 16872 17328 17856 18244 18352 18848 18981 19494 20646 21204 21312 21793 21904 22382 22496 23104 24642 25308 25992 26011 26714 26784 27366 27528 28272 30969 31806 31968 32832 32856 33573 33744 34656 36488 36704 36963 37696 37962 38988 40071 41049 41292 42408 42439 43586 43808 44764 44992 49284 50616 51984 52022 53428 53568 54732 55056 56544 61938 63612 63936 65379 65712 67146 67488 69312 72976 73408 73926 75924 77976 78033 80142 82098 82584 84816 84878 86659 87172 87616 89528 98568 100719 101232 103968 104044 106856 109464 110112 113088 120213 123147 123876 127224 127317 130758 131424 134292 134976 141391 145952 147852 151848 155952 156066 160284 164196 165168 168757 169632 169756 173318 174344 179056 196137 197136 201438 202464 207936 208088 213712 218928 220224 234099 240426 246294 247752 254448 254634 259977 261516 262848 268584 282782 291904 295704 302157 303696 311904 312132 320568 328392 330336 337514 339264 339512 346636 348688 358112 360639 381951 392274 394272 402876 404928 414067 416176 424173 427424 437856 468198 480852 492588 494209 495504 506271 508896 509268 519954 523032 537168 565564 588411 591408 604314 607392 623808 624264 641136 656784 660672 675028 679024 693272 697376 702297 716224 721278 763902 779931 784548 788544 805752 806341 828134 832352 848346 854848 875712 936396 961704 985176 988418 991008 1012542 1017792 1018536 1039908 1046064 1074336 1131128 1145853 1176822 1182816 1208628 1214784 1242201 1248528 1272519 1282272 1313568 1350056 1358048 1386544 1394752 1404594 1442556 1482627 1518813 1527804 1559862 1569096 1611504 1612682 1646521 1656268 1664704 1696692 1872792 1923408 1970352 1976836 1982016 2025084 2037072 2079816 2092128 2148672 2262256 2291706 2339793 2353644 2365632 2417256 2419023 2484402 2497056 2545038 2564544 2627136 2686429 2700112 2716096 2773088 2809188 2885112 2965254 3037626 3055608 3119724 3138192 3206383 3223008 3225364 3293042 3312536 3393384 3726603 3745584 3817557 3846816 3940704 3953672 4050168 4074144 4159632 4184256 4447881 4524512 4556439 4583412 4679586 4707288 4834512 4838046 4939563 4968804 4994112 5090076 5231467 5372858 5400224 5546176 5618376 5770224 5930508 6075252 6111216 6239448 6244009 6276384 6412766 6446016 6450728 6586084 6625072 6786768 7257069 7453206 7491168 7635114 7693632 7881408 7907344 8059287 8100336 8148288 8319264 8895762 9049024 9112878 9166824 9359172 9414576 9619149 9669024 9676092 9879126 9937608 10180152 10462934 10745716 10800448 11179809 11236752 11540448 11861016 12150504 12222432 12478896 12488018 12552768 12825532 12901456 13172168 13250144 13343643 13573536 14514138 14818689 14906412 14982336 15270228 15320479 15694401 15814688 16118574 16200672 16638528 17791524 18225756 18333648 18718344 18732027 18829152 19238298 19338048 19352184 19758252 19875216 20360304 20925868 21491432 21771207 22359618 22473504 23080896 23722032 24177861 24301008 24444864 24957792 24976036 25651064 25802912 26344336 26500288 26687286 27147072 28857447 29028276 29637378 29812824 30540456 30640958 31388802 31629376 32237148 32401344 35583048 36451512 36667296 37436688 37464054 37658304 38476596 38704368 39516504 39750432 40720608 41851736 42982864 43542414 44456067 44719236 44947008 45961437 47083203 47444064 48355722 48602016 49915584 49952072 51042151 51302128 51605824 52688672 53374572 56196081 57714894 58056552 59274756 59625648 60921277 61080912 61281916 62777604 64474296 71166096 72533583 72903024 73334592 74873376 74928108 76953192 77408736 79033008 79500864 81441216 83703472 85965728 86572341 87084828 88912134 89438472 91922874 94166406 94888128 96711444 97204032 99397873 99904144 102084302 102604256 105377344 106749144 112392162 115429788 116113104 118549512 118636171 119251296 121842554 122161824 122563832 125555208 128948592 137884311 141249609 142332192 145067166 145806048 149746752 149856216 153126453 153906384 154817472 158066016 167406944 168588243 171931456 173144682 174169656 177824268 178876944 182763831 183845748 188332812 193422888 193564279 198795746 199808288 204168604 205208512 213498288 224784324 230859576 232226208 237099024 237272342 238502592 243685108 244323648 245127664 251110416 257897184 275768622 282499218 284664384 290134332 291612096 298193619 299712432 306252906 307812768 316132032 334813888 337176486 346289364 348339312 355648536 355908513 357753888 365527662 367691496 376665624 386845776 387128558 397591492 399616576 408337208 413652933 426996576 449568648 459379359 461719152 464452416 474198048 474544684 487370216 490255328 502220832 515794368 548291493 551537244 564998436 580268664 580692837 596387238 599424864 612505812 615625536 674352972 692578728 696678624 711297072 711817026 715507776 731055324 735382992 753331248 773691552 774257116 795182984 816674416 827305866 853993152 894580857 899137296 918758718 923438304 948396096 949089368 974740432 980510656 1004441664 1067725539 1096582986 1103074488 1129996872 1160537328 1161385674 1192774476 1198849728 1225011624 1348705944 1378138077 1385157456 1393357248 1422594144 1423634052 1462110648 1470765984 1506662496 1547383104 1548514232 1590365968 1633348832 1644874479 1654611732 1742078511 1789161714 1798274592 1837517436 1846876608 1888559587 1898178736 1949480864 2135451078 2193165972 2206148976 2254087249 2259993744 2321074656 2322771348 2385548952 2450023248 2683742571 2697411888 2756276154 2770314912 2845188288 2847268104 2924221296 2941531968 3013324992 3097028464 3180731936 3203176617 3266697664 3289748958 3309223464 3484157022 3578323428 3596549184 3675034872 3677721301 3777119174 3796357472 3898961728 4270902156 4386331944 4412297952 4508174498 4519987488 4642149312 4645542696 4771097904 4900046496 5226235533 5367485142 5394823776 5512552308 5540629824 5665678761 5694536208 5848442592 6194056928 6361463872 6406353234 6579497916 6618446928 6762261747 6968314044 7156646856 7350069744 7355442602 7554238348 7592714944 8541804312 8772663888 8824595904 9016348996 9039974976 9291085392 9542195808 9800092992 10452471066 10734970284 10789647552 11025104616 11033163903 11331357522 11389072416 11696885184 12388113856 12812706468 13158995832 13236893856 13524523494 13936628088 14313293712 14700139488 14710885204 15108476696 16997036283 17083608624 17545327776 18032697992 18582170784 19084391616 20286785241 20904942132 21469940568 22050209232 22066327806 22662715044 22778144832 25625412936 26317991664 26473787712 27049046988 27873256176 28626587424 29400278976 29421770408 30216953392 33099491709 33994072566 34167217248 35090655552 36065395984 37164341568 40573570482 41809884264 42939881136 44100418464 44132655612 45325430088 50991108849 51250825872 52635983328 54098093976 55746512352 57253174848 58843540816 60433906784 60860355723 66198983418 67988145132 68334434496 69876704719 72130791968 81147140964 83619768528 85879762272 88200836928 88265311224 90650860176 99298475127 101982217698 102501651744 105271966656 108196187952 111493024704 117687081632 120867813568 121720711446 132397966836 135976290264 139753409438 144261583936 162294281928 167239537056 171759524544 176530622448 181301720352 198596950254 203964435396 205003303488 209630114157 216392375904 235374163264 243441422892 264795933672 271952580528 279506818876 324588563856 334479074112 353061244896 362603440704 397193900508 407928870792 419260228314 432784751808 486882845784 529591867344 543905161056 559013637752 628890342471 649177127712 706122489792 794387801016 815857741584 838520456628 973765691568 1059183734688 1087810322112 1118027275504 1257780684942 1298354255424 1588775602032 1631715483168 1677040913256 1886671027413 1947531383136 2118367469376 2236054551008 2515561369884 3177551204064 3263430966336 3354081826512 3773342054826 3895062766272 4472109102016 5031122739768 6355102408128 6708163653024 7546684109652 10062245479536 13416327306048 15093368219304 20124490959072 30186736438608 40248981918144 60373472877216 120746945754432
- Sum of all divisors σ(n): 397546601034240
- Sum of proper divisors (its aliquot sum) s(n): 276799655279808
- 120746945754432 is an abundant number, because the sum of its proper divisors (276799655279808) is greater than itself. Its abundance is 156052709525376
Bases of 120746945754432
- Binary: 110110111010001100101101100111100110101010000002
- Hexadecimal: 0x6DD196CF3540
- Base-36: 16SUDPWPC0
Squares and roots of 120746945754432
- 120746945754432 squared (1207469457544322) is 14579824909023743989647642624
- 120746945754432 cubed (1207469457544323) is 1760469327399006484976665698897634000109568
-
The
square root of 120746945754432 is 10988491.5140537829 -
The
cube root of 120746945754432 is 49426.3702458267
Scales and comparisons
How big is 120746945754432?- 120,746,945,754,432 seconds is equal to 3,839,379 years, 19 weeks, 5 days, 9 hours, 7 minutes, 12 seconds.
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To count from 1 to 120,746,945,754,432 would take you about nine million, five hundred ninety-eight thousand, four hundred forty-eight 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 120746945754432 cubic inches would be around 4118.9 feet tall.
Recreational maths with 120746945754432
- 120746945754432 backwards is 234457549647021
- The number of decimal digits it has is: 15
- The sum of 120746945754432's digits is 63
- More coming soon!
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"Number 120746945754432 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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The information we have on file for 120746945754432 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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