13002474216138264
13,002,474,216,138,264 is an even composite number composed of five prime numbers multiplied together.
What does the number 13002474216138264 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
13002474216138264 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13002474216138264:
23 × 35 × 112 × 135 × 533
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 53 × 53 × 53)See below for interesting mathematical facts about the number 13002474216138264 from the Numbermatics database.
Names of 13002474216138264
- Cardinal: 13002474216138264 can be written as Thirteen quadrillion, two trillion, four hundred seventy-four billion, two hundred sixteen million, one hundred thirty-eight thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.3002474216138264 × 1016
Factors of 13002474216138264
Divisors of 13002474216138264
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 53 54 66 72 78 81 88 99 104 106 108 117 121 132 143 156 159 162 169 198 212 216 234 242 243 264 286 297 312 318 324 338 351 363 396 424 429 468 477 484 486 507 572 583 594 636 648 676 689 702 726 792 858 891 936 954 968 972 1014 1053 1089 1144 1166 1188 1272 1287 1352 1378 1404 1431 1452 1521 1573 1716 1749 1782 1859 1908 1944 2028 2067 2106 2178 2197 2332 2376 2574 2673 2756 2808 2809 2862 2904 3042 3146 3159 3267 3432 3498 3564 3718 3816 3861 4056 4134 4212 4293 4356 4394 4563 4664 4719 5148 5247 5346 5512 5577 5618 5724 6084 6201 6292 6318 6413 6534 6591 6996 7128 7436 7579 7722 8268 8424 8427 8586 8712 8788 8957 9126 9438 9801 10296 10494 10692 11154 11236 11448 11583 12168 12402 12584 12636 12826 12879 13068 13182 13689 13992 14157 14872 15158 15444 15741 16536 16731 16854 17172 17576 17914 18252 18603 18876 19239 19602 19773 20449 20988 21384 22308 22472 22737 23166 24167 24804 25272 25281 25652 25758 26136 26364 26871 27378 28314 28561 29403 30316 30888 30899 31482 33462 33708 34344 34749 35828 36504 36517 37206 37752 38478 39204 39546 40898 41067 41976 42471 44616 45474 46332 47223 48334 49608 50193 50562 51304 51516 52728 53742 54756 55809 56628 57122 57717 58806 59319 60632 61347 61798 62964 66924 67416 68211 69498 71656 72501 73034 74412 75843 76956 78408 79092 80613 81796 82134 83369 84942 85683 90948 92664 92697 94446 96668 98527 100386 101124 103032 107484 109512 109551 111618 113256 114244 115434 116441 117612 118638 122694 123596 125928 127413 133848 136422 138996 141669 145002 146068 148824 148877 150579 151686 153912 158184 161226 163592 164268 166738 167427 169884 171366 173151 177957 181896 184041 185394 188892 193336 197054 200772 202248 204633 214968 217503 219102 223236 227529 228488 230868 232882 235224 237276 241839 245388 247192 250107 254826 257049 265837 272844 277992 278091 283338 290004 292136 295581 297754 301158 303372 314171 322452 328536 328653 333476 334854 339768 339889 342732 346302 349323 355914 368082 370788 371293 377784 382239 394108 401544 401687 409266 435006 438204 446472 446631 451737 455058 461736 465764 474552 474721 483678 490776 500214 509652 514098 519453 531674 533871 545688 552123 556182 566676 580008 591162 595508 602316 606744 613899 628342 644904 652509 657306 666952 669708 679778 682587 685464 692604 698646 711828 725517 736164 741576 742586 750321 764478 771147 788216 797511 803374 818532 834273 870012 876408 886743 893262 903474 910116 931528 942513 949442 967356 985959 1000428 1019304 1019667 1028196 1038906 1047969 1063348 1067742 1083797 1104246 1112364 1113879 1133352 1182324 1191016 1204632 1205061 1227798 1256684 1280851 1305018 1314612 1339416 1339893 1359556 1365174 1385208 1397292 1423656 1424163 1451034 1472328 1485172 1500642 1513733 1528956 1542294 1558359 1595022 1606748 1637064 1637647 1656369 1668546 1740024 1773486 1786524 1806948 1820232 1841697 1885026 1898884 1934712 1935401 1957527 1971918 2000856 2039334 2056392 2077812 2095938 2126696 2135484 2167594 2176551 2208492 2224728 2227758 2250963 2313441 2364648 2392533 2410122 2455596 2502819 2513368 2561702 2610036 2629224 2660229 2679786 2719112 2730348 2794584 2827539 2848326 2902068 2957877 2970344 3001284 3027466 3057912 3059001 3084588 3116718 3143907 3190044 3213496 3251391 3275294 3312738 3337092 3341637 3455881 3546972 3573048 3613896 3615183 3683394 3770052 3797768 3842553 3870802 3915054 3943836 4019679 4078668 4084223 4155624 4191876 4270968 4272489 4335188 4353102 4416984 4418557 4455516 4501926 4541199 4626882 4785066 4820244 4911192 4912941 4969107 5005638 5123404 5220072 5221931 5320458 5359572 5460696 5655078 5696652 5804136 5806203 5872581 5915754 6002568 6054932 6118002 6169176 6171373 6233436 6287814 6380088 6502782 6550588 6625476 6674184 6683274 6752889 6911762 6940323 7093944 7177599 7230366 7366788 7508457 7540104 7685106 7741604 7830108 7887672 7980687 8039358 8157336 8168446 8383752 8482617 8544978 8670376 8706204 8837114 8873631 8911032 9003852 9082398 9177003 9253764 9431721 9570132 9640488 9754173 9825882 9938214 10011276 10024911 10246808 10367643 10443862 10640916 10719144 10845549 11310156 11393304 11527659 11612406 11745162 11831508 12059037 12109864 12236004 12252669 12342746 12466872 12575628 12817467 13005564 13101176 13250952 13255671 13366548 13505778 13623597 13823524 13880646 14089361 14355198 14460732 14733576 14738823 15016914 15370212 15483208 15660216 15665793 15961374 16078716 16336892 16651063 16965234 17089956 17412408 17418609 17674228 17747262 18007704 18014117 18164796 18354006 18507528 18514119 18863442 19140264 19508346 19651764 19678529 19876428 20022552 20049822 20258667 20735286 20887724 21281832 21289411 21532797 21691098 22620312 23055318 23224812 23490324 23663016 23942061 24118074 24472008 24505338 24685492 25151256 25160213 25447851 25634934 26011128 26511342 26733096 27011556 27247194 27531009 27647048 27761292 28178722 28295163 28710396 28921464 29262519 29477646 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232981673496 237462090294 241942507092 246595247613 252396812954 253439774991 257159016972 259049553048 262104382683 269012997396 275341977768 280637015802 285932053836 291430747179 306149471784 309759724989 316616120392 317924451468 328793663484 331661927766 337919699988 344418155757 349472510244 356066331192 356193135441 362913760638 374182687736 378595219431 385738525458 388574329572 413012966652 420805664136 420955523703 428898080754 442215903688 455252764824 459224207676 474924180588 483885014184 493190495226 497492891649 504793625908 506879549982 514318033944 514501195637 524208765366 538025994792 561274031604 571864107672 578607788187 582861494358 608046867571 619519449978 635848902936 657587326968 663323855532 675839399976 688836311514 698945020488 712386270882 725827521276 739785742839 757190438862 771477050916 777148659144 786313148049 826025933304 841911047406 857796161508 874292241537 918448415352 929279174967 949848361176 986380990452 994985783298 1009587251816 1013759099964 1029002391274 1033254467271 1048417530732 1068579406323 1122548063208 1135785658293 1157215576374 1165722988716 1216093735142 1239038899956 1262866571109 1326647711064 1377672623028 1424772541764 1451655042552 1479571485678 1492478674947 1514380877724 1542954101832 1543503586911 1572626296098 1683822094812 1715592323016 1748584483074 1824140602713 1858558349934 1972761980904 1989971566596 2027518199928 2058004782548 2066508934542 2096835061464 2137158812646 2271571316586 2314431152748 2331445977432 2358939444147 2432187470284 2478077799912 2525733142218 2755345246056 2787837524901 2849545083528 2959142971356 2984957349894 3028761755448 3087007173822 3145252592196 3205738218969 3367644189624 3407356974879 3497168966148 3648281205426 3717116699868 3788599713327 3979943133192 4116009565096 4133017869084 4274317625292 4477436024841 4543142633172 4628862305496 4630510760733 4717878888294 4864374940568 5051466284436 5472421808139 5575675049802 5918285942712 5969914699788 6174014347644 6290505184392 6411476437938 6688515543281 6814713949758 6994337932296 7296562410852 7434233399736 7577199426654 8266035738168 8548635250584 8954872049682 9086285266344 9261021521466 9435757776588 9617214656907 10102932568872 10222070924637 10944843616278 11151350099604 11365799139981 11939829399576 12348028695288 12822952875876 13377031086562 13432308074523 13629427899516 13891532282199 14593124821704 15154398853308 16417265424417 17909744099364 18522043042932 18871515553176 19234429313814 20065546629843 20444141849274 21889687232556 22302700199208 22731598279962 25645905751752 26754062173124 26864616149046 27258855799032 27783064564398 30308797706616 30666212773911 32834530848834 35819488198728 37044086085864 38468858627628 40131093259686 40888283698548 41674596846597 43779374465112 45463196559924 49251796273251 53508124346248 53729232298092 55566129128796 60196639889529 61332425547822 65669061697668 76937717255256 80262186519372 81776567397096 83349193693194 90926393119848 98503592546502 107458464596184 111132258257592 120393279779058 122664851095644 125023790539791 131338123395336 147755388819753 160524373038744 166698387386388 180589919668587 197007185093004 240786559558116 245329702191288 250047581079582 295510777639506 333396774772776 361179839337174 394014370186008 481573119116232 500095162159164 541769759005761 591021555279012 722359678674348 1000190324318328 1083539518011522 1182043110558024 1444719357348696 1625309277017283 2167079036023044 3250618554034566 4334158072046088 6501237108069132 13002474216138264
- Sum of all divisors σ(n): 44322386975848800
- Sum of proper divisors (its aliquot sum) s(n): 31319912759710536
- 13002474216138264 is an abundant number, because the sum of its proper divisors (31319912759710536) is greater than itself. Its abundance is 18317438543572272
Bases of 13002474216138264
- Binary: 1011100011000110101110011100001101101010100110000110002
- Hexadecimal: 0x2E31AE70DAA618
- Base-36: 3K0ZQ6YCPI0
Squares and roots of 13002474216138264
- 13002474216138264 squared (130024742161382642) is 169064335741340362846021164933696
- 13002474216138264 cubed (130024742161382643) is 2198254666345320824502415259169207859930728543744
-
The
square root of 13002474216138264 is 114028392.1492286235 -
The
cube root of 13002474216138264 is 235148.3850315269
Scales and comparisons
How big is 13002474216138264?- 13,002,474,216,138,264 seconds is equal to 413,438,460 years, 40 weeks, 3 days, 19 hours, 44 minutes, 24 seconds.
-
To count from 1 to 13,002,474,216,138,264 would take you about one billion, two hundred forty million, three hundred fifteen thousand, three 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 13002474216138264 cubic inches would be around 19595.7 feet tall.
Recreational maths with 13002474216138264
- 13002474216138264 backwards is 46283161247420031
- 13002474216138264 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13002474216138264's digits is 54
- More coming soon!
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"Number 13002474216138264 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 13002474216138264 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/13002474216138264/
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Numbermatics. 2024. "Number 13002474216138264 - Facts about the integer". https://numbermatics.com/n/13002474216138264/
The information we have on file for 13002474216138264 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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