329816906790114042
329,816,906,790,114,042 is an even composite number composed of six prime numbers multiplied together.
What does the number 329816906790114042 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
329816906790114042 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 329816906790114042:
2 × 35 × 132 × 233 × 372 × 4912
(2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 23 × 23 × 23 × 37 × 37 × 491 × 491)See below for interesting mathematical facts about the number 329816906790114042 from the Numbermatics database.
Names of 329816906790114042
- Cardinal: 329816906790114042 can be written as Three hundred twenty-nine quadrillion, eight hundred sixteen trillion, nine hundred six billion, seven hundred ninety million, one hundred fourteen thousand and forty-two.
Scientific notation
- Scientific notation: 3.29816906790114042 × 1017
Factors of 329816906790114042
Divisors of 329816906790114042
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 6 9 13 18 23 26 27 37 39 46 54 69 74 78 81 111 117 138 162 169 207 222 234 243 299 333 338 351 414 481 486 491 507 529 598 621 666 702 851 897 962 982 999 1014 1053 1058 1242 1369 1443 1473 1521 1587 1702 1794 1863 1998 2106 2553 2691 2738 2886 2946 2997 3042 3159 3174 3726 3887 4107 4329 4419 4563 4761 5106 5382 5589 5994 6253 6318 6383 6877 7659 7774 8073 8214 8658 8838 8991 9126 9522 11063 11178 11293 11661 12167 12321 12506 12766 12987 13257 13689 13754 14283 15318 16146 17797 17982 18167 18759 19149 19573 20631 22126 22586 22977 23322 24219 24334 24642 25974 26514 27378 28566 31487 33189 33879 34983 35594 36334 36501 36963 37518 38298 38961 39146 39771 41067 41262 42849 45954 48438 53391 54501 56277 57447 58719 61893 62974 66378 67758 68931 69966 72657 73002 73926 77922 79542 82134 82979 85698 89401 94461 99567 101637 104949 106782 109002 109503 110889 112554 114894 116883 117438 119313 123786 128547 137862 143819 145314 146809 158171 160173 163503 165958 168831 172341 176157 178802 185679 188922 199134 203274 206793 209898 219006 221778 231361 233766 236171 238626 241081 248937 254449 257094 259739 268203 283383 287638 293618 298701 304911 314847 316342 320346 327006 328509 332667 337662 344682 352314 371358 409331 413586 417841 431457 440427 450179 462722 472342 474513 480519 482162 490509 497874 506493 508898 517023 519478 528471 536406 557037 566766 597402 609822 629694 657018 665334 672179 694083 708513 723243 724201 746811 763347 779217 804609 818662 835682 850149 862914 880854 896103 900358 914733 944541 949026 961038 981018 985527 1012986 1034046 1056942 1114074 1227993 1253523 1294371 1321281 1344358 1350537 1388166 1417026 1423539 1441557 1446486 1448402 1471527 1493622 1519479 1526694 1551069 1558434 1585413 1609218 1671111 1700298 1792206 1829466 1889082 1908517 1971054 2016537 2056223 2082249 2125539 2169729 2172603 2240433 2290041 2337651 2413827 2455986 2507046 2550447 2588742 2642562 2688309 2701074 2744199 2847078 2883114 2943054 2956581 3038958 3070223 3102138 3134053 3170826 3307837 3342222 3376607 3683979 3760569 3817034 3883113 3963843 4033074 4051611 4112446 4164498 4251078 4270617 4324671 4339458 4345206 4414581 4480866 4580082 4675302 4756239 4827654 5100894 5321303 5376618 5431933 5488398 5544863 5725551 5852327 5913162 5973997 6049611 6140446 6168669 6246747 6268106 6376617 6509187 6517809 6615674 6721299 6753214 6870123 7012953 7241481 7367958 7521138 7651341 7766226 7927686 8103222 8541234 8649342 8738327 8829162 8919997 9210669 9402159 9414613 9512478 9610343 9923511 10129821 10642606 10863866 11051937 11089726 11281707 11451102 11649339 11704654 11891529 11947994 12099222 12154833 12337338 12493494 12753234 12811851 13018374 13035618 13442598 13740246 14025906 14482962 15302682 15460117 15963909 16295799 16634589 16656623 17176653 17476654 17556981 17839994 17921991 18148833 18421338 18506007 18740241 18804318 18829226 19129851 19220686 19527561 19553427 19847022 20163897 20259642 20610369 21038859 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127531849 131687673 139141053 141230258 143675181 144166438 146662191 149711301 149909607 152160502 154589877 155323922 157289886 158012829 160559946 161297919 163339497 165792042 166554063 169238862 169463034 172986174 175980843 178623198 182336778 198934866 200981521 203070726 205159931 211845387 216249657 216536099 218786994 221037889 227196502 228240753 231919922 232985883 235934829 240839919 244456134 244779938 248688063 249868918 253858293 254194551 255063698 259479261 263375346 267934797 273505167 278282106 287350362 293324382 299422602 299819214 309179754 316025658 322595838 326678994 330039889 333108126 340794753 347879883 351961686 355582691 366684201 367169907 374803377 382595547 395063019 401963042 410319862 417423159 423690774 431025543 432499314 433072198 439986573 442075778 449133903 449728821 456481506 463769631 465971766 471869658 474038487 481679838 483893757 497376126 499662189 507716586 508389102 518958522 535869594 547010334 602944563 615479793 635536161 648748971 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976766431491 991432594126 1003981342338 1008595887507 1029564616977 1042596009351 1047546607686 1081682546022 1104170748642 1123285720869 1146638854359 1163855653974 1229728626414 1269801249678 1282865048543 1296200444058 1324901106666 1368075073482 1382149919917 1396517382702 1410884845487 1425551008122 1487148891189 1505972013507 1571319911529 1594913303594 1622523819033 1656256122963 1745783480961 1776274682598 1844592939621 1872289530306 1913746042962 1953532862982 1987351659999 2017191775014 2059129233954 2085192018702 2246571441738 2269684316653 2293277708718 2392369955391 2565730097086 2664412023897 2764299839834 2808434295459 2821769690974 2870619064443 2930299294473 2974297782378 3011944027014 3025787662521 3088693850931 3142639823058 3245047638066 3312512245926 3491566961922 3689185879242 3848595145629 3974703319998 4015595329463 4146449759751 4232654536461 4461446673567 4517916040521 4539368633306 4713959734587 4784739910782 4867571457099 4968768368889 5237350442883 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52202739283019 52745387300514 55024508973993 59011792232978 61281476549631 64593988795557 69274712621322 72280715930334 74636095675518 76187781656298 80306040124206 84851275222566 88517688349467 103912068931983 104405478566038 108421073895501 110049017947986 111954143513277 114281672484447 120459060186309 122562953099262 129187977591114 156608217849057 165073526921979 177035376698934 183844429648893 193781966386671 207824137863966 216842147791002 223908287026554 228563344968894 240918120372618 265553065048401 311736206795949 313216435698114 325263221686503 330147053843958 335862430539831 342845017453341 367688859297786 387563932773342 469824653547171 495220580765937 531106130096802 551533288946679 623472413591898 650526443373006 671724861079662 678635610679247 685690034906682 796659195145203 939649307094342 975789665059509 990441161531874 1103066577893358 1357271221358494 1409473960641513 1485661742297811 1593318390290406 1951579330119018 2035906832037741 2389977585435609 2818947921283026 2971323484595622 4071813664075482 4228421881924539 4456985226893433 4779955170871218 6107720496113223 7169932756306827 8456843763849078 8913970453786866 12215440992226446 12685265645773617 14339865512613654 18323161488339669 25370531291547234 36646322976679338 54969484465019007 109938968930038014 164908453395057021 329816906790114042
- Sum of all divisors σ(n): 863979284354397120
- Sum of proper divisors (its aliquot sum) s(n): 534162377564283078
- 329816906790114042 is an abundant number, because the sum of its proper divisors (534162377564283078) is greater than itself. Its abundance is 204345470774169036
Bases of 329816906790114042
- Binary: 100100100111011111010111010101100100010010010010010111110102
- Hexadecimal: 0x493BEBAB22492FA
- Base-36: 2I7IC3A2NHMI
Squares and roots of 329816906790114042
- 329816906790114042 squared (3298169067901140422) is 108779192004598774063468303365577764
- 329816906790114042 cubed (3298169067901140423) is 35877216630084672513253783408635950735937034779362088
-
The
square root of 329816906790114042 is 574296880.3590300211 -
The
cube root of 329816906790114042 is 690914.4961685963
Scales and comparisons
How big is 329816906790114042?- 329,816,906,790,114,042 seconds is equal to 10,487,157,445 years, 12 weeks, 6 days, 18 hours, 20 minutes, 42 seconds.
-
To count from 1 to 329,816,906,790,114,042 would take you about thirty-one billion, four hundred sixty-one million, four hundred seventy-two thousand, three hundred thirty-five 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 329816906790114042 cubic inches would be around 57576.2 feet tall.
Recreational maths with 329816906790114042
- 329816906790114042 backwards is 240411097609618923
- The number of decimal digits it has is: 18
- The sum of 329816906790114042's digits is 72
- More coming soon!
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"Number 329816906790114042 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 329816906790114042 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/329816906790114042/
Chicago style:
Numbermatics. 2024. "Number 329816906790114042 - Facts about the integer". https://numbermatics.com/n/329816906790114042/
The information we have on file for 329816906790114042 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 329816906790114042, math, Factors of 329816906790114042, curriculum, school, college, exams, university, Prime factorization of 329816906790114042, STEM, science, technology, engineering, physics, economics, calculator, three hundred twenty-nine quadrillion, eight hundred sixteen trillion, nine hundred six billion, seven hundred ninety million, one hundred fourteen thousand and forty-two.