828996135420992
828,996,135,420,992 is an even composite number composed of eight prime numbers multiplied together.
What does the number 828996135420992 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1792 divisors.
828996135420992 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 828996135420992:
26 × 7 × 113 × 17 × 31 × 59 × 61 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 11 × 17 × 31 × 59 × 61 × 733)See below for interesting mathematical facts about the number 828996135420992 from the Numbermatics database.
Names of 828996135420992
- Cardinal: 828996135420992 can be written as Eight hundred twenty-eight trillion, nine hundred ninety-six billion, one hundred thirty-five million, four hundred twenty thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 8.28996135420992 × 1014
Factors of 828996135420992
Divisors of 828996135420992
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 31 32 34 44 56 59 61 62 64 68 77 88 112 118 119 121 122 124 136 154 176 187 217 224 236 238 242 244 248 272 308 341 352 374 413 427 434 448 472 476 484 488 496 527 544 616 649 671 682 704 733 748 826 847 854 868 944 952 968 976 992 1003 1037 1054 1088 1232 1298 1309 1331 1342 1364 1466 1496 1652 1694 1708 1736 1829 1888 1891 1904 1936 1952 1984 2006 2057 2074 2108 2387 2464 2596 2618 2662 2684 2728 2932 2992 3304 3388 3416 3472 3599 3658 3689 3751 3776 3782 3808 3872 3904 4012 4114 4148 4216 4543 4697 4774 4928 5131 5192 5236 5324 5368 5456 5797 5864 5984 6608 6776 6832 6944 7021 7139 7198 7259 7316 7378 7381 7502 7564 7616 7744 8024 8063 8228 8296 8432 9086 9317 9394 9548 10262 10384 10472 10648 10736 10912 11033 11407 11594 11728 11968 12461 12803 13216 13237 13552 13664 13888 14042 14278 14396 14399 14518 14632 14756 14762 15004 15128 16048 16126 16456 16592 16864 18172 18634 18788 19096 20119 20524 20768 20801 20944 21296 21472 21824 22066 22627 22723 22814 23188 23456 24922 25193 25606 26257 26432 26474 27104 27328 28084 28556 28792 28798 29036 29264 29512 29524 30008 30256 31093 32096 32147 32252 32912 33184 33728 36344 37268 37576 38192 39589 40238 40579 41048 41261 41536 41602 41888 42592 42944 43247 44132 44713 45254 45446 45628 46376 46912 49844 49973 50386 51212 51667 52514 52948 54208 56168 56441 57112 57584 57596 58072 58528 59024 59048 60016 60512 61183 62186 63767 64192 64294 64504 65824 66368 72688 74536 75152 76384 77231 78529 79178 79849 80476 81158 81191 82096 82522 83204 83776 85184 86494 87227 88264 88693 89426 90508 90892 91256 92752 99688 99946 100772 102424 103334 105028 105896 111569 112336 112882 114224 115168 115192 116144 117056 118048 118096 120032 121024 121363 122366 124372 125477 127534 128588 129008 131648 137071 140833 145376 145607 149072 150304 152768 154462 157058 158356 158389 159061 159698 160952 162316 162382 164192 165044 166408 172988 174454 176528 177386 178852 181016 181784 182512 185504 199376 199892 201544 204848 206668 210056 211792 217651 221309 223138 224672 225029 225764 228448 228811 230336 230384 232288 236096 236192 240064 242726 244732 248744 249953 250954 255068 257176 258016 274142 277123 281666 288827 290752 291214 298144 300608 302729 308924 312991 314116 316712 316778 318122 319396 321904 324632 324764 328384 330088 332816 342023 345976 348908 353056 353617 354772 357704 362032 363568 365024 371008 386291 398752 399784 403088 409696 413336 420112 423584 428281 435302 435479 442618 446276 446369 449344 450058 451528 456896 457622 460768 464576 472384 475717 485452 489464 491843 497488 499906 501908 510136 514352 516032 548284 549703 554246 563332 568337 577654 582428 596288 605458 617848 620851 625982 628232 633424 633556 636244 638792 643808 649264 649528 660176 665632 673013 684046 691952 697816 701437 706112 707234 709544 715408 724064 727136 730048 735199 760121 772582 780983 797504 799568 806176 819392 826672 840224 847168 849541 856562 870604 870958 878339 885236 892552 892738 900116 903056 915244 921536 951434 959497 970904 975623 978928 983686 994976 999812 1003816 1020272 1028704 1096568 1099406 1108492 1126664 1136674 1155308 1164856 1210916 1227259 1235696 1241702 1251964 1256464 1266848 1267112 1272488 1277584 1287616 1298528 1299056 1320352 1331264 1334993 1340657 1346026 1368092 1380247 1383904 1386103 1395632 1402874 1414468 1419088 1430816 1448128 1454272 1470398 1507781 1520242 1545164 1549163 1561966 1599136 1601677 1612352 1653344 1680448 1699082 1713124 1741208 1741916 1749671 1756678 1770472 1785104 1785476 1800232 1806112 1830488 1896673 1902868 1918994 1941808 1951246 1957856 1967372 1989952 1999624 2007632 2040544 2057408 2193136 2198812 2216984 2253328 2273348 2310616 2329712 2394161 2421832 2434399 2454518 2471392 2475319 2483404 2503928 2512928 2516921 2533696 2534224 2544976 2555168 2597056 2598112 2638067 2640704 2669986 2681314 2692052 2704037 2736184 2749483 2760494 2767808 2772206 2791264 2805748 2828936 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25188263716 25703712496 25787667136 25828643302 26661825344 27399396332 27625837624 28078720208 28090137416 28328189428 28550631472 28786587104 28792585976 29030541232 29518449488 30335045939 30585748798 31313595808 31363352581 31572385856 32375073632 32905812544 33263627936 35342604682 35751083984 36337167328 36482688704 36637474496 37568935712 37985526733 38608240286 38927316652 39581557268 39853667392 39916994194 40391548208 41204639168 43412030552 44123703184 44488361888 45619421936 49157740478 49963605076 50376527432 51407424992 51657286604 54798792664 55251675248 56157440416 56180274832 56656378856 57101262944 57573174208 57585171952 58061082464 59036898976 59691542009 60670091878 61171497596 62627191616 62726705162 64750147264 66527255872 69267725219 70685209364 71502167968 72674334656 75137871424 75971053466 77216480572 77854633304 79163114536 79833988388 80783096416 86824061104 88247406368 88976723776 91238843872 98315480956 99927210152 100753054864 102814849984 103314573208 107050120793 108849282487 109597585328 110503350496 112314880832 112360549664 113312757712 114202525888 115170343904 116122164928 118073797952 119383084018 121340183756 122342995192 125453410324 138535450438 141370418728 143004335936 151942106932 154432961144 155709266608 158326229072 159667976776 161566192832 168221618389 173648122208 176494812736 182477687744 196630961912 199854420304 201506109728 206629146416 212345321573 214100241586 217698564974 219195170656 219543468067 221006700992 224721099328 226625515424 230340687808 238766168036 242680367512 244685990384 250906820648 277070900876 282740837456 303884213864 308865922288 311418533216 316652458144 319335953552 336443236778 347296244416 393261923824 399708840608 403012219456 413258292832 417840794063 424690643146 428200483172 435397129948 438390341312 439086936134 453251030848 477532336072 485360735024 489371980768 501813641296 554141801752 565481674912 607768427728 617731844576 622837066432 633304916288 638671907104 672886473556 761944977409 786523847648 799417681216 826516585664 835681588126 849381286292 856400966344 870794259896 878173872268 955064672144 970721470048 978743961536 1003627282592 1108283603504 1130963349824 1177551328723 1215536855456 1235463689152 1277343814208 1345772947112 1523889954818 1573047695296 1671363176252 1698762572584 1712801932688 1741588519792 1756347744536 1850437802279 1910129344288 1941442940096 2007254565184 2216567207008 2355102657446 2431073710912 2691545894224 3047779909636 3342726352504 3397525145168 3425603865376 3483177039584 3512695489072 3700875604558 3820258688576 4433134414016 4710205314892 5383091788448 6095559819272 6685452705008 6795050290336 6851207730752 6966354079168 7025390978144 7401751209116 9420410629784 10766183576896 12191119638544 12953064615953 13370905410016 13590100580672 14050781956288 14803502418232 18840821259568 24382239277088 25906129231906 26741810820032 29607004836464 37681642519136 48764478554176 51812258463812 59214009672928 75363285038272 103624516927624 118428019345856 207249033855248 414498067710496 828996135420992
- Sum of all divisors σ(n): 2339355734507520
- Sum of proper divisors (its aliquot sum) s(n): 1510359599086528
- 828996135420992 is an abundant number, because the sum of its proper divisors (1510359599086528) is greater than itself. Its abundance is 681363463665536
Bases of 828996135420992
- Binary: 101111000111110111101101000010110000000100010000002
- Hexadecimal: 0x2F1F7B42C0440
- Base-36: 85URKEZEWW
Squares and roots of 828996135420992
- 828996135420992 squared (8289961354209922) is 687234592542939706909074264064
- 828996135420992 cubed (8289961354209923) is 569714821345717104149492634428090385216831488
-
The
square root of 828996135420992 is 28792292.9865092891 -
The
cube root of 828996135420992 is 93940.0604527323
Scales and comparisons
How big is 828996135420992?- 828,996,135,420,992 seconds is equal to 26,359,512 years, 44 weeks, 2 days, 11 hours, 36 minutes, 32 seconds.
-
To count from 1 to 828,996,135,420,992 would take you about sixty-five million, eight hundred ninety-eight thousand, seven hundred eighty-two 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 828996135420992 cubic inches would be around 7828.3 feet tall.
Recreational maths with 828996135420992
- 828996135420992 backwards is 299024531699828
- 828996135420992 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 828996135420992's digits is 77
- More coming soon!
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"Number 828996135420992 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 828996135420992 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/828996135420992/
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The information we have on file for 828996135420992 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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