13714201073664
13,714,201,073,664 is an even composite number composed of seven prime numbers multiplied together.
13714201073664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13714201073664:
211 × 32 × 7 × 13 × 37 × 137 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 37 × 137 × 1613)See below for interesting mathematical facts about the number 13714201073664 from the Numbermatics database.
Names of 13714201073664
- Cardinal: 13714201073664 can be written as Thirteen trillion, seven hundred fourteen billion, two hundred one million, seventy-three thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3714201073664 × 1013
Factors of 13714201073664
Divisors of 13714201073664
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 37 39 42 48 52 56 63 64 72 74 78 84 91 96 104 111 112 117 126 128 137 144 148 156 168 182 192 208 222 224 234 252 256 259 273 274 288 296 312 333 336 364 384 411 416 444 448 468 481 504 512 518 546 548 576 592 624 666 672 728 768 777 819 822 832 888 896 936 959 962 1008 1024 1036 1092 1096 1152 1184 1233 1248 1332 1344 1443 1456 1536 1554 1613 1638 1644 1664 1776 1781 1792 1872 1918 1924 2016 2048 2072 2184 2192 2304 2331 2368 2466 2496 2664 2688 2877 2886 2912 3072 3108 3226 3276 3288 3328 3367 3552 3562 3584 3744 3836 3848 4032 4144 4329 4368 4384 4608 4662 4736 4839 4932 4992 5069 5328 5343 5376 5754 5772 5824 6144 6216 6452 6552 6576 6656 6734 7104 7124 7168 7488 7672 7696 8064 8288 8631 8658 8736 8768 9216 9324 9472 9678 9864 9984 10101 10138 10656 10686 10752 11291 11508 11544 11648 12432 12467 12904 13104 13152 13312 13468 14208 14248 14336 14517 14976 15207 15344 15392 16029 16128 16576 17262 17316 17472 17536 18432 18648 18944 19356 19728 19968 20202 20276 20969 21312 21372 21504 22582 23016 23088 23296 24864 24934 25808 26208 26304 26624 26936 28416 28496 29034 29952 30303 30414 30688 30784 32058 32256 33152 33873 34524 34632 34944 35072 35483 37296 37401 37888 38712 39456 39936 40404 40552 41938 42624 42744 43008 45164 45621 46032 46176 46592 49728 49868 51616 52416 52608 53872 56832 56992 58068 59681 59904 60606 60828 61376 61568 62907 64116 64512 65897 66304 67746 69048 69264 69888 70144 70966 74592 74802 75776 77424 78912 79872 80808 81104 83876 85248 85488 90328 91242 92064 92352 93184 99456 99736 101619 103232 104832 105216 106449 107744 112203 113664 113984 116136 119362 119808 121212 121656 122752 123136 125814 128232 129024 131794 132608 135492 138096 138528 139776 140288 141932 146783 149184 149604 154848 157824 161616 162208 167752 170496 170976 179043 180656 182484 184128 184704 186368 188721 197691 198912 199472 203238 206464 209664 210432 212898 215488 220981 224406 227328 227968 232272 238724 239616 242424 243312 245504 246272 251628 256464 263588 265216 270984 276192 277056 279552 280576 283864 293566 298368 299208 309696 315648 319347 323232 324416 335504 340992 341952 358086 361312 364968 368256 369408 377442 395382 397824 398944 406476 412928 417767 419328 420864 425796 430976 440349 441962 448812 455936 461279 464544 477448 484848 486624 491008 492544 503256 512928 527176 530432 537129 541968 552384 554112 559104 567728 587132 593073 596736 598416 619392 631296 638694 646464 648832 662943 671008 681984 683904 716172 722624 729936 736512 738816 754884 775853 790764 795648 797888 812952 825856 835534 838656 841728 851592 861952 880698 883924 897624 911872 922558 929088 954896 969696 973248 982016 985088 1006512 1025856 1054352 1074258 1083936 1104768 1108224 1135456 1174264 1186146 1193472 1196832 1238784 1253301 1262592 1277388 1292928 1297664 1321047 1325886 1342016 1367808 1383837 1432344 1445248 1459872 1473024 1477632 1509768 1546867 1551706 1581528 1591296 1595776 1625904 1651712 1671068 1677312 1703184 1723904 1761396 1767848 1795248 1823744 1845116 1858176 1909792 1939392 1946496 1964032 1988829 2013024 2051712 2108704 2148516 2167872 2209536 2216448 2270912 2327559 2348528 2372292 2386944 2393664 2477568 2506602 2525184 2554776 2585856 2595328 2642094 2651772 2684032 2735616 2767674 2864688 2872753 2890496 2919744 2946048 2955264 3019536 3093734 3103412 3163056 3191552 3251808 3303424 3342136 3406368 3447808 3522792 3535696 3590496 3647488 3690232 3716352 3759903 3819584 3878784 3892992 3977658 4026048 4103424 4151511 4217408 4297032 4335744 4419072 4432896 4541824 4640601 4655118 4697056 4744584 4773888 4787328 4955136 5013204 5109552 5171712 5190656 5284188 5303544 5368064 5430971 5471232 5535348 5729376 5745506 5780992 5839488 5892096 6039072 6187468 6206824 6326112 6383104 6503616 6684272 6812736 6895616 6982677 7045584 7071392 7180992 7380464 7432704 7519806 7639168 7757568 7785984 7955316 8052096 8176297 8206848 8303022 8434816 8594064 8618259 8671488 8838144 8865792 9083648 9281202 9310236 9394112 9489168 9574656 9910272 10026408 10219104 10343424 10381312 10568376 10607088 10736128 10861942 10942464 11070696 11458752 11491012 11561984 11678976 12078144 12374936 12413648 12652224 12766208 13007232 13368544 13625472 13921803 13965354 14091168 14142784 14361984 14760928 14865408 15039612 15278336 15515136 15571968 15910632 16104192 16292913 16352594 16413696 16606044 16869632 17188128 17236518 17342976 17676288 18167296 18562404 18620472 18788224 18978336 19149312 20052816 20109271 20438208 20686848 21136752 21214176 21472256 21723884 22141392 22917504 22982024 23123968 23357952 24156288 24528891 24749872 24827296 25304448 25532416 25854777 26014464 26737088 27250944 27843606 27930708 28182336 28285568 28723968 29521856 29730816 30079224 30556672 31030272 31143936 31821264 32208384 32585826 32705188 32827392 33212088 33739264 34376256 34473036 34685952 36334592 37124808 37240944 37576448 37956672 38298624 40105632 40218542 40876416 42273504 42428352 42944512 43447768 44282784 45835008 45964048 46715904 48312576 48878739 49057782 49499744 49654592 50608896 51709554 52028928 53474176 54501888 55687212 55861416 56364672 56571136 57234079 57447936 59043712 60158448 60327813 61113344 62060544 63642528 64416768 65171652 65410376 66424176 67478528 68752512 68946072 69371904 72669184 73586673 74249616 74481888 75152896 75913344 76597248 80211264 80437084 81752832 84547008 84856704 86895536 88565568 91670016 91928096 93431808 96625152 97757478 98115564 98999488 99309184 101217792 103419108 104057856 106291861 106948352 109003776 111374424 111722832 112729344 113142272 114468158 114895872 118087424 120316896 120655626 122226688 127285056 128833536 130343304 130820752 132848352 134957056 137505024 137892144 147173346 148499232 148963776 150305792 151826688 160422528 160874168 163505664 169094016 169713408 171702237 173791072 177131136 180983439 183340032 183856192 193250304 195514956 196231128 197998976 198618368 202435584 206838216 208115712 212583722 213896704 218007552 222748848 223445664 225458688 226284544 228936316 229791744 236174848 240633792 241311252 254570112 260686608 261641504 265696704 275010048 275784288 294346692 296998464 297927552 300611584 303653376 318875583 320845056 321748336 327011328 338188032 339426816 343404474 347582144 354262272 361966878 366680064 367712384 386500608 391029912 392462256 395997952 397236736 404871168 413676432 425167444 427793408 445497696 446891328 450917376 452569088 457872632 472349696 481267584 482622504 509140224 515106711 521373216 523283008 531393408 550020096 551568576 588693384 593996928 595855104 607306752 637751166 641690112 643496672 654022656 676376064 678853632 686808948 695164288 708524544 723933756 735424768 744043027 782059824 784924512 791995904 794473472 827352864 850334888 855586816 890995392 893782656 901834752 915745264 944699392 956626749 962535168 965245008 1018280448 1030213422 1042746432 1046566016 1062786816 1100040192 1103137152 1177386768 1187993856 1191710208 1214613504 1275502332 1283380224 1286993344 1352752128 1357707264 1373617896 1390328576 1417049088 1447867512 1470849536 1488086054 1564119648 1569849024 1583991808 1588946944 1654705728 1700669776 1781990784 1787565312 1831490528 1913253498 1925070336 1930490016 2036560896 2060426844 2085492864 2093132032 2125573632 2206274304 2232129081 2354773536 2375987712 2383420416 2551004664 2566760448 2573986688 2705504256 2747235792 2780657152 2834098176 2895735024 2941699072 2976172108 3128239296 3139698048 3167983616 3309411456 3401339552 3563981568 3575130624 3662981056 3826506996 3850140672 3860980032 4073121792 4120853688 4170985728 4186264064 4251147264 4412548608 4464258162 4709547072 4751975424 4766840832 5102009328 5147973376 5494471584 5561314304 5791470048 5883398144 5952344216 6256478592 6279396096 6618822912 6696387243 6802679104 7127963136 7150261248 7325962112 7653013992 7700281344 7721960064 8241707376 8341971456 8372528128 8502294528 8825097216 8928516324 9419094144 9503950848 10204018656 10295946752 10988943168 11122628608 11582940096 11904688432 12512957184 12558792192 13237645824 13392774486 13605358208 14255926272 14300522496 14651924224 15306027984 15443920128 16483414752 16683942912 16745056256 17650194432 17857032648 18838188288 20408037312 20591893504 21977886336 23165880192 23809376864 25025914368 25117584384 26475291648 26785548972 27210716416 28511852544 29303848448 30612055968 30887840256 32966829504 33367885824 35714065296 37676376576 40816074624 41183787008 43955772672 46331760384 47618753728 50051828736 50235168768 52950583296 53571097944 54421432832 58607696896 61224111936 61775680512 65933659008 71428130592 75352753152 81632149248 87911545344 92663520768 95237507456 100103657472 107142195888 108842865664 117215393792 122448223872 123551361024 131867318016 142856261184 150705506304 163264298496 175823090688 185327041536 190475014912 214284391776 217685731328 244896447744 263734636032 285712522368 326528596992 351646181376 370654083072 380950029824 428568783552 489792895488 527469272064 571425044736 653057193984 761900059648 857137567104 979585790976 1054938544128 1142850089472 1523800119296 1714275134208 1959171581952 2285700178944 3428550268416 4571400357888 6857100536832 13714201073664
- Sum of all divisors σ(n): 50463979413120
- Sum of proper divisors (its aliquot sum) s(n): 36749778339456
- 13714201073664 is an abundant number, because the sum of its proper divisors (36749778339456) is greater than itself. Its abundance is 23035577265792
Bases of 13714201073664
- Binary: 110001111001000101100001010101011000000000002
- Hexadecimal: 0xC7916155800
- Base-36: 4V07T88W0
Squares and roots of 13714201073664
- 13714201073664 squared (137142010736642) is 188079311088886810354384896
- 13714201073664 cubed (137142010736643) is 2579357490069196955500673693053504978944
-
The
square root of 13714201073664 is 3703268.9712825343 -
The
cube root of 13714201073664 is 23936.2899807111
Scales and comparisons
How big is 13714201073664?- 13,714,201,073,664 seconds is equal to 436,069 years, 9 weeks, 2 hours, 14 minutes, 24 seconds.
-
To count from 1 to 13,714,201,073,664 would take you about one million, ninety thousand, one hundred seventy-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 13714201073664 cubic inches would be around 1994.7 feet tall.
Recreational maths with 13714201073664
- 13714201073664 backwards is 46637010241731
- The number of decimal digits it has is: 14
- The sum of 13714201073664's digits is 45
- More coming soon!
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The information we have on file for 13714201073664 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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