642013179971072
642,013,179,971,072 is an even composite number composed of five prime numbers multiplied together.
What does the number 642013179971072 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
642013179971072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 642013179971072:
29 × 72 × 13 × 312 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 31 × 31 × 127 × 127 × 127)See below for interesting mathematical facts about the number 642013179971072 from the Numbermatics database.
Names of 642013179971072
- Cardinal: 642013179971072 can be written as Six hundred forty-two trillion, thirteen billion, one hundred seventy-nine million, nine hundred seventy-one thousand and seventy-two.
Scientific notation
- Scientific notation: 6.42013179971072 × 1014
Factors of 642013179971072
Divisors of 642013179971072
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 64 91 98 104 112 124 127 128 182 196 208 217 224 248 254 256 364 392 403 416 434 448 496 508 512 637 728 784 806 832 868 889 896 961 992 1016 1274 1456 1519 1568 1612 1651 1664 1736 1778 1792 1922 1984 2032 2548 2821 2912 3038 3136 3224 3302 3328 3472 3556 3584 3844 3937 3968 4064 5096 5642 5824 6076 6223 6272 6448 6604 6656 6727 6944 7112 7688 7874 7936 8128 10192 11284 11557 11648 12152 12446 12493 12544 12896 13208 13454 13888 14224 15376 15748 15872 16129 16256 19747 20384 22568 23114 23296 24304 24892 24986 25088 25792 26416 26908 27559 27776 28448 30752 31496 32258 32512 39494 40768 45136 46228 46592 47089 48608 49784 49972 51181 51584 52832 53816 55118 55552 56896 61504 62992 64516 65024 78988 80899 81536 87451 90272 92456 94178 97216 99568 99944 102362 103168 105664 107632 110236 111104 112903 113792 122047 123008 125984 129032 157976 161798 163072 174902 180544 184912 188356 192913 194432 199136 199888 204724 206336 209677 211328 215264 220472 225806 227584 244094 246016 251968 258064 315952 323596 326144 349804 358267 361088 369824 376712 385826 388864 398272 399776 409448 419354 422656 430528 440944 451612 455168 488188 492032 499999 503936 516128 612157 631904 647192 699608 716534 722176 739648 753424 771652 777728 790321 796544 799552 818896 838708 845312 854329 861056 881888 903224 976376 999998 1007872 1032256 1224314 1263808 1294384 1399216 1433068 1444352 1467739 1479296 1506848 1543304 1580642 1586611 1593088 1599104 1637792 1677416 1708658 1722112 1763776 1806448 1952752 1999996 2015744 2048383 2064512 2448628 2507869 2527616 2588768 2798432 2866136 2935478 2958592 3013696 3086608 3161284 3173222 3186176 3198208 3275584 3354832 3417316 3444224 3499993 3527552 3612896 3905504 3999992 4096766 4129024 4897256 5015738 5055232 5177536 5596864 5732272 5870956 5917184 5980303 6027392 6173216 6322568 6346444 6396416 6499987 6551168 6709664 6834632 6999986 7055104 7225792 7811008 7999984 8193532 8258048 9794512 10031476 10110464 10274173 10355072 11106277 11193728 11464544 11741912 11960606 12054784 12346432 12645136 12692888 12999974 13102336 13419328 13669264 13999972 14110208 14338681 14451584 15499969 15622016 15999968 16387064 19589024 20062952 20548346 20710144 22212554 22387456 22929088 23483824 23921212 24109568 24499951 24692864 25290272 25385776 25999948 26204672 26628979 26838656 27338528 27999944 28677362 28903168 30999938 31244032 31999936 32774128 39178048 40125904 41096692 41420288 44425108 44774912 45499909 45858176 46967648 47842424 48999902 49385728 50580544 50771552 51999896 53257958 53677312 54677056 55999888 57354724 57806336 61999876 62488064 63499873 63999872 65548256 77743939 78356096 80251808 82193384 88850216 90999818 91716352 93935296 95684848 97999804 98771456 100370767 101161088 101543104 103999792 106515916 107354624 108499783 109354112 111999776 114709448 123999752 126999746 127999744 131096512 155487878 156712192 160503616 164386768 177700432 181999636 183432704 186402853 187870592 191369696 195999608 200741534 201499597 202322176 203086208 207999584 213031832 216999566 218708224 223999552 229418896 247999504 253999492 255999488 262193024 310975756 313424384 318499363 321007232 328773536 355400864 363999272 372805706 375741184 382739392 391999216 401483068 402999194 404644352 406172416 415999168 426063664 433999132 437416448 444499111 447999104 458837792 495999008 507998984 524386048 621951512 636998726 642014464 657547072 710801728 727998544 745611412 751482368 759498481 765478784 783998432 802966136 805998388 812344832 825498349 831998336 852127328 867998264 888998222 895998208 917675584 991998016 1015997968 1048772096 1243903024 1273997452 1284028928 1304819971 1315094144 1410497179 1421603456 1455997088 1491222824 1518996962 1530957568 1567996864 1605932272 1611996776 1650996698 1663996672 1704254656 1735996528 1777996444 1791996416 1835351168 1968496063 1983996032 2031995936 2487806048 2547994904 2609639942 2630188288 2820994358 2843206912 2911994176 2982445648 3037993924 3061915136 3111493777 3135993728 3211864544 3223993552 3301993396 3327993344 3408509312 3471993056 3555992888 3670702336 3936992126 3967992064 4063991872 4975612096 5095989808 5219279884 5260376576 5641988716 5686413824 5778488443 5823988352 5964891296 6075987848 6222987554 6271987456 6423729088 6447987104 6603986792 6817018624 6943986112 7111985776 7341404672 7873984252 7935984128 8127983744 9873480253 9951224192 10191979616 10438559768 11283977432 11556976886 11647976704 11929782592 12151975696 12445975108 12543974912 12847458176 12895974208 13207973584 13634037248 13779472441 13887972224 14223971552 15747968504 16255967488 19746960506 19902448384 20383959232 20877119536 22567954864 23113953772 23295953408 23859565184 24303951392 24891950216 25590448819 25694916352 25791948416 26415947168 27558944882 27775944448 28447943104 31495937008 32511934976 39493921012 39804896768 40449419101 40767918464 41754239072 45135909728 46227907544 47719130368 48607902784 49783900432 51180897638 51389832704 51583896832 52831894336 55117889764 55551888896 56895886208 62991874016 78987842024 80898838202 81535836928 83508478144 90271819456 92455815088 95438260736 96456307087 97215805568 99567800864 102361795276 103167793664 105663788672 110235779528 113791772416 125983748032 157975684048 161797676404 163071673856 167016956288 179133141733 180543638912 184911630176 192912614174 194431611136 199135601728 204723590552 211327577344 220471559056 227583544832 251967496064 315951368096 323595352808 334033912576 358266283466 361087277824 369823260352 385825228348 388863222272 398271203456 409447181104 422655154688 440943118112 503934992128 631902736192 647190705616 668067825152 716532566932 722174555648 739646520704 771650456696 796542406912 818894362208 881886236224 1007869984256 1253931992131 1263805472384 1294381411232 1433065133864 1479293041408 1543300913392 1593084813824 1637788724416 1763772472448 2507863984262 2527610944768 2588762822464 2866130267728 2958586082816 3086601826784 3275577448832 3527544944896 5015727968524 5055221889536 5177525644928 5732260535456 6173203653568 6551154897664 7055089889792 10031455937048 10355051289856 11464521070912 12346407307136 13102309795328 20062911874096 20710102579712 22929042141824 24692814614272 40125823748192 45858084283648 49385629228544 80251647496384 91716168567296 160503294992768 321006589985536 642013179971072
- Sum of all divisors σ(n): 1673678782702080
- Sum of proper divisors (its aliquot sum) s(n): 1031665602731008
- 642013179971072 is an abundant number, because the sum of its proper divisors (1031665602731008) is greater than itself. Its abundance is 389652422759936
Bases of 642013179971072
- Binary: 100100011111101000010101111000100010000110000000002
- Hexadecimal: 0x247E857888600
- Base-36: 6BKOS72D4W
Squares and roots of 642013179971072
- 642013179971072 squared (6420131799710722) is 412180923256568085458756829184
- 642013179971072 cubed (6420131799710723) is 264625585263361662683922229174985727565365248
-
The
square root of 642013179971072 is 25337979.0032881667 -
The
cube root of 642013179971072 is 86267.6527041961
Scales and comparisons
How big is 642013179971072?- 642,013,179,971,072 seconds is equal to 20,414,033 years, 12 weeks, 5 days, 12 hours, 24 minutes, 32 seconds.
-
To count from 1 to 642,013,179,971,072 would take you about fifty-one million, thirty-five thousand and eighty-three 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 642013179971072 cubic inches would be around 7189 feet tall.
Recreational maths with 642013179971072
- 642013179971072 backwards is 270179971310246
- The number of decimal digits it has is: 15
- The sum of 642013179971072's digits is 59
- More coming soon!
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The information we have on file for 642013179971072 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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