107142679996352
107,142,679,996,352 is an even composite number composed of six prime numbers multiplied together.
What does the number 107142679996352 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
107142679996352 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 107142679996352:
26 × 72 × 11 × 133 × 292 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 13 × 13 × 13 × 29 × 29 × 41 × 41)See below for interesting mathematical facts about the number 107142679996352 from the Numbermatics database.
Names of 107142679996352
- Cardinal: 107142679996352 can be written as One hundred seven trillion, one hundred forty-two billion, six hundred seventy-nine million, nine hundred ninety-six thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 1.07142679996352 × 1014
Factors of 107142679996352
Divisors of 107142679996352
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 29 32 41 44 49 52 56 58 64 77 82 88 91 98 104 112 116 143 154 164 169 176 182 196 203 208 224 232 286 287 308 319 328 338 352 364 377 392 406 416 448 451 464 533 539 572 574 616 637 638 656 676 704 728 754 784 812 832 841 902 928 1001 1066 1078 1144 1148 1183 1189 1232 1274 1276 1312 1352 1421 1456 1508 1568 1624 1681 1682 1804 1856 1859 2002 2009 2132 2156 2197 2233 2288 2296 2366 2378 2464 2548 2552 2624 2639 2704 2842 2912 3016 3136 3157 3248 3362 3364 3608 3718 3731 4004 4018 4147 4264 4312 4394 4466 4576 4592 4732 4756 4901 4928 5096 5104 5278 5408 5684 5824 5863 5887 6032 6314 6496 6724 6728 6929 7007 7216 7436 7462 8008 8036 8281 8294 8323 8528 8624 8788 8932 9152 9184 9251 9464 9512 9802 10192 10208 10556 10816 10933 11368 11726 11767 11774 12064 12628 12992 13013 13079 13448 13456 13858 14014 14432 14872 14924 15379 15457 15631 16016 16072 16562 16588 16646 17056 17248 17576 17864 18368 18473 18491 18502 18928 19024 19604 20384 20416 21112 21853 21866 22099 22736 23452 23534 23548 24128 24167 25256 26026 26117 26158 26896 26912 27716 28028 28864 29029 29744 29848 30758 30914 31262 32032 32144 33124 33176 33292 34112 34307 34481 34496 35152 35728 36946 36982 37004 37856 38048 39208 40768 41041 41209 42224 43706 43732 44198 45472 46904 47068 47096 48334 48503 48749 50512 52052 52234 52316 53792 53824 53911 55432 56056 58058 58261 59488 59696 61516 61828 62524 63713 64064 64288 64757 66248 66352 66584 68614 68962 70304 71456 73892 73964 74008 75712 76096 76219 76531 78416 82082 82369 82418 84448 87412 87464 88396 90077 90944 91091 91553 93808 94136 94192 96668 97006 97498 101024 104104 104468 104632 107584 107653 107822 108199 110864 112112 116116 116522 118976 119392 120263 123032 123656 125048 127426 128576 129437 129514 132496 132704 133168 137228 137924 140608 142129 142912 147784 147928 148016 152438 152971 153062 156832 164164 164738 164836 168896 169169 170027 174824 174928 176792 180154 182182 183106 187616 188272 188384 193336 194012 194996 200941 202048 203203 208208 208936 209264 215306 215644 216398 221728 224224 232232 233044 238784 240149 240383 240526 241367 246064 247312 250096 254852 258874 259028 264992 265408 266336 274456 275848 284089 284258 287287 295568 295856 296032 304876 305942 306124 313664 328328 329476 329672 338338 339521 340054 341243 349648 349856 353584 360308 364364 366212 375232 376544 376768 377377 379291 386672 388024 389992 401882 406406 416416 417872 418528 430612 431288 432796 443456 445991 448253 448448 453299 464464 466088 480298 480766 481052 482734 492128 494624 500192 509704 517748 518056 529984 532672 533533 535717 536239 548912 551696 568178 568516 574574 591136 591712 592064 609752 611884 612248 630539 633737 640871 656656 658952 659344 676676 679042 680108 682486 699296 699712 700843 707168 720616 728728 732424 753088 754754 757393 758582 773344 776048 779984 803764 812812 832832 835744 837056 841841 861224 862576 865592 891982 896506 906059 906598 928928 932176 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955675396 966433468 990237248 993699616 995259584 995897903 1023995336 1025602864 1029188888 1060566598 1098921824 1104495392 1108357264 1137492356 1138169032 1142148644 1170280384 1176215872 1178117083 1189456576 1212076112 1224991768 1225720496 1268741474 1299991264 1300764608 1305312736 1366336972 1399990592 1405721408 1407993587 1415134721 1447717544 1448578768 1449990256 1499421742 1523991238 1553648096 1561527968 1609135528 1614761876 1617296824 1654534336 1666604654 1672431943 1681645504 1713624848 1732915184 1741704272 1794805012 1801080554 1839012032 1845442144 1911350792 1932866936 1987399232 1990611623 1991795806 2047990672 2051205728 2058377776 2121133196 2197843648 2208990784 2216714528 2274984712 2276338064 2284297288 2356234166 2424152224 2449983536 2451440992 2537482948 2599982528 2610625472 2628107339 2732673944 2815987174 2830269442 2895435088 2897157536 2899980512 2998843484 3047982476 3105945037 3107296192 3123055936 3140908771 3218271056 3229523752 3234593648 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15462935488 15924892984 15934366448 16493639162 16969065568 17762380636 18199877696 18274378304 18396751373 18849873328 19811886094 20299863584 20991904388 21024858712 21741615259 21861391552 22527897392 22642155536 23332465156 23414047202 23990747872 24383859808 24847560296 25127270168 25836190016 26665674464 26758911088 28716880192 28817288864 29695864744 31849785968 31868732896 32987278324 33938131136 34165395407 35524761272 36793502746 37699746656 39623772188 40599727168 40831814023 41983808776 42049717424 43483230518 45055794784 45284311072 46664930312 46828094404 47981495744 48767719616 49695120592 50254540336 53331348928 53517822176 57634577728 57727737067 59391729488 63699571936 63737465792 65974556648 68330790814 71049522544 73587005492 75399493312 79247544376 81663628046 83967617552 84099434848 86966461036 90111589568 90568622144 93329860624 93656188808 99390241184 100509080672 107035644352 115455474134 118783458976 127399143872 128777259611 131949113296 136661581628 142099045088 147174010984 152191306813 158495088752 163327256092 167935235104 168198869696 173932922072 186659721248 187312377616 198780482368 201018161344 230910948268 237566917952 239157767849 257554519222 263898226592 273323163256 284198090176 294348021968 304382613626 316990177504 326654512184 335870470208 347865844144 373319442496 374624755232 461821896536 478315535698 515109038444 527796453184 546646326512 588696043936 608765227252 633980355008 653309024368 695731688288 749249510464 923643793072 956631071396 1030218076888 1093292653024 1177392087872 1217530454504 1306618048736 1391463376576 1674104374943 1847287586144 1913262142792 2060436153776 2186585306048 2435060909008 2613236097472 3348208749886 3694575172288 3826524285584 4120872307552 4870121818016 6696417499772 7653048571168 8241744615104 9740243636032 13392834999544 15306097142336 26785669999088 53571339998176 107142679996352
- Sum of all divisors σ(n): 310270304700720
- Sum of proper divisors (its aliquot sum) s(n): 203127624704368
- 107142679996352 is an abundant number, because the sum of its proper divisors (203127624704368) is greater than itself. Its abundance is 95984944708016
Bases of 107142679996352
- Binary: 110000101110010000110010110000110100111110000002
- Hexadecimal: 0x61721961A7C0
- Base-36: 11Z8O1BSU8
Squares and roots of 107142679996352
- 107142679996352 squared (1071426799963522) is 11479553876800687006733307904
- 107142679996352 cubed (1071426799963523) is 1229950167522938019200015747899179612766208
-
The
square root of 107142679996352 is 10350974.8331426255 -
The
cube root of 107142679996352 is 47495.6864036815
Scales and comparisons
How big is 107142679996352?- 107,142,679,996,352 seconds is equal to 3,406,805 years, 42 weeks, 18 hours, 32 minutes, 32 seconds.
-
To count from 1 to 107,142,679,996,352 would take you about eight million, five hundred seventeen thousand and fourteen 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 107142679996352 cubic inches would be around 3958 feet tall.
Recreational maths with 107142679996352
- 107142679996352 backwards is 253699976241701
- The number of decimal digits it has is: 15
- The sum of 107142679996352's digits is 71
- More coming soon!
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"Number 107142679996352 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 107142679996352 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/107142679996352/
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The information we have on file for 107142679996352 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 107142679996352, math, Factors of 107142679996352, curriculum, school, college, exams, university, Prime factorization of 107142679996352, STEM, science, technology, engineering, physics, economics, calculator, one hundred seven trillion, one hundred forty-two billion, six hundred seventy-nine million, nine hundred ninety-six thousand, three hundred fifty-two.