42814749690838944
42,814,749,690,838,944 is an even composite number composed of five prime numbers multiplied together.
42814749690838944 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 42814749690838944:
25 × 36 × 72 × 133 × 41292
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 13 × 4129 × 4129)See below for interesting mathematical facts about the number 42814749690838944 from the Numbermatics database.
Names of 42814749690838944
- Cardinal: 42814749690838944 can be written as Forty-two quadrillion, eight hundred fourteen trillion, seven hundred forty-nine billion, six hundred ninety million, eight hundred thirty-eight thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 4.2814749690838944 × 1016
Factors of 42814749690838944
Divisors of 42814749690838944
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 72 78 81 84 91 96 98 104 108 112 117 126 144 147 156 162 168 169 182 189 196 208 216 224 234 243 252 273 288 294 312 324 336 338 351 364 378 392 416 432 441 468 486 504 507 546 567 588 624 637 648 672 676 702 728 729 756 784 819 864 882 936 972 1008 1014 1053 1092 1134 1176 1183 1248 1274 1296 1323 1352 1404 1456 1458 1512 1521 1568 1638 1701 1764 1872 1911 1944 2016 2028 2106 2184 2197 2268 2352 2366 2457 2548 2592 2646 2704 2808 2912 2916 3024 3042 3159 3276 3402 3528 3549 3744 3822 3888 3969 4056 4129 4212 4368 4394 4536 4563 4704 4732 4914 5096 5103 5292 5408 5616 5733 5832 6048 6084 6318 6552 6591 6804 7056 7098 7371 7644 7776 7938 8112 8258 8281 8424 8736 8788 9072 9126 9464 9477 9828 10192 10206 10584 10647 11232 11466 11664 11907 12168 12387 12636 13104 13182 13608 13689 14112 14196 14742 15288 15379 15876 16224 16516 16562 16848 17199 17576 18144 18252 18928 18954 19656 19773 20384 20412 21168 21294 22113 22932 23328 23814 24336 24774 24843 25272 26208 26364 27216 27378 28392 28903 29484 30576 30758 31752 31941 33032 33124 33696 34398 35152 35721 36504 37161 37856 37908 39312 39546 40824 41067 42336 42588 44226 45864 46137 47628 48672 49548 49686 50544 51597 52728 53677 54432 54756 56784 57806 58968 59319 61152 61516 63504 63882 66064 66248 66339 68796 70304 71442 73008 74322 74529 75816 78624 79092 81648 82134 85176 86709 88452 91728 92274 95256 95823 99096 99372 101088 103194 105456 107354 107653 109512 111483 113568 115612 117936 118638 123032 123201 127008 127764 132128 132496 132678 137592 138411 142884 146016 148644 149058 151632 154791 158184 161031 163296 164268 170352 173418 176904 177957 183456 184548 190512 191646 198192 198744 202321 206388 210912 214708 215306 219024 222966 223587 231224 235872 237276 246064 246402 255528 260127 264992 265356 275184 276822 285768 287469 297288 298116 303264 309582 316368 322062 322959 328536 334449 340704 346836 353808 355914 369096 375739 381024 383292 396384 397488 404642 412776 415233 429416 430612 438048 445932 447174 462448 464373 474552 483093 492128 492804 511056 520254 530712 533871 550368 553644 571536 574938 594576 596232 606963 619164 632736 644124 645918 657072 668898 670761 693672 697801 707616 711828 738192 751478 766584 780381 794976 809284 825552 830466 858832 861224 862407 891864 894348 924896 928746 949104 966186 968877 985608 1003347 1022112 1040508 1061424 1067742 1107288 1127217 1143072 1149876 1189152 1192464 1213926 1238328 1245699 1288248 1291836 1314144 1337796 1341522 1387344 1395602 1423656 1449279 1476384 1502956 1533168 1560762 1601613 1618568 1651104 1660932 1717664 1722448 1724814 1783728 1788696 1820889 1857492 1898208 1932372 1937754 1971216 2006694 2012283 2081016 2093403 2122848 2135484 2214576 2254434 2299752 2341143 2384928 2427852 2476656 2491398 2576496 2583672 2630173 2675592 2683044 2774688 2791204 2847312 2898558 2906631 3005912 3010041 3066336 3121524 3203226 3237136 3321864 3381651 3444896 3449628 3567456 3577392 3641778 3714984 3737097 3864744 3875508 3942432 4013388 4024566 4162032 4186806 4270968 4347837 4429152 4508868 4599504 4682286 4855704 4884607 4953312 4982796 5152992 5167344 5260346 5351184 5366088 5462667 5582408 5694624 5797116 5813262 6011824 6020082 6036849 6243048 6280209 6406452 6474272 6643728 6763302 6899256 7023429 7154784 7283556 7429968 7474194 7729488 7751016 7890519 8026776 8049132 8324064 8373612 8541936 8695674 8719893 9017736 9071413 9199008 9364572 9711408 9769214 9965592 10144953 10334688 10520692 10702368 10732176 10925334 11164816 11211291 11594232 11626524 12023648 12040164 12073698 12486096 12560418 12812904 13043511 13287456 13526604 13798512 14046858 14567112 14653821 14859936 14948388 15458976 15502032 15781038 16053552 16098264 16388001 16747224 17048641 17083872 17391348 17439786 18035472 18142826 18729144 18840627 19422816 19538428 19931184 20289906 21041384 21070287 21464352 21850668 22329632 22422582 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19487824165152 19603823118516 20329890641424 21111809512248 21237475045059 22024048194876 22404369278304 22871126971602 24271400051496 25170340794144 26138430824688 27305325057933 28149079349664 28316633393412 29365397593168 29405734677774 30494835962136 31667714268372 32361866735328 33036072292314 33606553917456 34306690457403 36191673449568 36407100077244 37755511191216 39207646237032 40659781282848 42223619024496 42474950090118 44048096389752 45742253943204 48542800102992 49554108438471 52276861649376 54610650115866 56633266786824 58730795186336 58811469355548 60989671924272 63335428536744 63712425135177 66072144584628 67213107834912 68613380914806 72814200154488 75511022382432 78415292474064 84447238048992 84949900180236 88096192779504 91484507886408 97085600205984 99108216876942 102920071372209 109221300231732 113266533573648 117622938711096 121979343848544 126670857073488 127424850270354 132144289169256 137226761829612 145628400308976 148662325315413 156830584948128 169899800360472 176192385559008 182969015772816 191137275405531 198216433753884 205840142744418 218442600463464 226533067147296 235245877422192 253341714146976 254849700540708 264288578338512 274453523659224 291256800617952 297324650630826 339799600720944 365938031545632 382274550811062 396432867507768 411680285488836 436885200926928 445986975946239 470491754844384 509699401081416 528577156677024 548907047318448 594649301261652 679599201441888 764549101622124 792865735015536 823360570977672 873770401853856 891973951892478 1019398802162832 1097814094636896 1189298602523304 1337960927838717 1529098203244248 1585731470031072 1646721141955344 1783947903784956 2038797604325664 2378597205046608 2675921855677434 3058196406488496 3293442283910688 3567895807569912 4757194410093216 5351843711354868 6116392812976992 7135791615139824 10703687422709736 14271583230279648 21407374845419472 42814749690838944
- Sum of all divisors σ(n): 159296958629485740
- Sum of proper divisors (its aliquot sum) s(n): 116482208938646796
- 42814749690838944 is an abundant number, because the sum of its proper divisors (116482208938646796) is greater than itself. Its abundance is 73667459247807852
Bases of 42814749690838944
- Binary: 100110000001101111001001101110100111100000111111101000002
- Hexadecimal: 0x981BC9BA783FA0
- Base-36: BPKK8H5UI00
Squares and roots of 42814749690838944
- 42814749690838944 squared (428147496908389442) is 1833102791089193450828558547035136
- 42814749690838944 cubed (428147496908389443) is 78483837158062050649179589605231353696791685136384
-
The
square root of 42814749690838944 is 206917253.2459266529 -
The
cube root of 42814749690838944 is 349835.9767249939
Scales and comparisons
How big is 42814749690838944?- 42,814,749,690,838,944 seconds is equal to 1,361,376,605 years, 23 weeks, 3 days, 17 hours, 2 minutes, 24 seconds.
-
To count from 1 to 42,814,749,690,838,944 would take you about four billion, eighty-four million, one hundred twenty-nine thousand, eight hundred sixteen 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 42814749690838944 cubic inches would be around 29153 feet tall.
Recreational maths with 42814749690838944
- 42814749690838944 backwards is 44983809694741824
- The number of decimal digits it has is: 17
- The sum of 42814749690838944's digits is 90
- More coming soon!
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"Number 42814749690838944 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 42814749690838944 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/42814749690838944/
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The information we have on file for 42814749690838944 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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