13513041984442624
13,513,041,984,442,624 is an even composite number composed of five prime numbers multiplied together.
What does the number 13513041984442624 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
13513041984442624 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13513041984442624:
28 × 13 × 172 × 193 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 17 × 17 × 19 × 19 × 19 × 127 × 127 × 127)See below for interesting mathematical facts about the number 13513041984442624 from the Numbermatics database.
Names of 13513041984442624
- Cardinal: 13513041984442624 can be written as Thirteen quadrillion, five hundred thirteen trillion, forty-one billion, nine hundred eighty-four million, four hundred forty-two thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.3513041984442624 × 1016
Factors of 13513041984442624
Divisors of 13513041984442624
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 8 13 16 17 19 26 32 34 38 52 64 68 76 104 127 128 136 152 208 221 247 254 256 272 289 304 323 361 416 442 494 508 544 578 608 646 722 832 884 988 1016 1088 1156 1216 1292 1444 1651 1664 1768 1976 2032 2159 2176 2312 2413 2432 2584 2888 3302 3328 3536 3757 3952 4064 4199 4318 4352 4624 4693 4826 4864 5168 5491 5776 6137 6604 6859 7072 7514 7904 8128 8398 8636 9248 9386 9652 10336 10982 11552 12274 13208 13718 14144 15028 15808 16129 16256 16796 17272 18496 18772 19304 20672 21964 23104 24548 26416 27436 28067 28288 30056 31369 31616 32258 32512 33592 34544 36703 36992 37544 38608 41021 41344 43928 45847 46208 49096 52832 54872 56134 56576 60112 62738 63232 64516 67184 69088 71383 73406 73984 75088 77216 79781 82042 82688 87856 89167 91694 92416 98192 104329 105664 109744 112268 116603 120224 125476 129032 134368 138176 142766 146812 150176 154432 159562 164084 175712 178334 183388 196384 208658 209677 211328 219488 224536 233206 240448 250952 258064 268736 274193 276352 285532 293624 300352 306451 308864 319124 328168 351424 356668 366776 392768 417316 419354 422656 438976 449072 466412 477139 480896 501904 516128 533273 537472 548386 552704 571064 587248 596011 600704 612902 617728 638248 656336 697357 702848 713336 733552 779399 785536 834632 838708 871093 877952 898144 932824 954278 961792 1003808 1032256 1066546 1074944 1096772 1142128 1174496 1192022 1201408 1225804 1276496 1312672 1356277 1394714 1405696 1426672 1467104 1515839 1558798 1571072 1669264 1677416 1742186 1755904 1796288 1865648 1908556 1982251 2007616 2048383 2064512 2133092 2193544 2284256 2348992 2384044 2451608 2552992 2625344 2712554 2789428 2853344 2934208 3031678 3117596 3338528 3354832 3484372 3564509 3592576 3731296 3817112 3964502 3983863 4015232 4096766 4129024 4266184 4387088 4568512 4661281 4697984 4768088 4903216 5105984 5209667 5250688 5425108 5578856 5706688 5822569 5868416 6063356 6235192 6677056 6709664 6968744 7129018 7185152 7462592 7634224 7929004 7967726 8030464 8193532 8532368 8774176 9065641 9137024 9322562 9395968 9536176 9806432 10132187 10211968 10419334 10501376 10850216 11157712 11324209 11413376 11645138 11736832 12126712 12470384 13249783 13354112 13419328 13937488 14258036 14808581 14925184 15268448 15858008 15935452 16387064 17064736 17548352 18131282 18274048 18645124 19072352 19612864 20264374 20423936 20838668 21700432 22315424 22648418 22826752 23290276 24253424 24940768 25769263 26499566 26628979 26708224 26838656 27874976 28516072 29617162 29850368 30536896 31716016 31870904 32774128 34129472 34822511 35096704 36262564 37290248 38144704 38919277 39225728 40528748 41677336 43400864 44630848 45296836 46580552 48506848 49881536 51538526 52999132 53257958 53677312 55749952 57032144 59234324 60596653 61073792 63432032 63741808 65548256 67725671 68258944 69645022 70193408 72525128 74580496 75693397 76289408 77838554 78451456 81057496 83354672 86801728 88564339 89261696 90593672 93161104 97013696 98983673 99763072 103077052 105998264 106515916 110628811 111499904 114064288 118468648 121193306 122147584 126864064 127483616 131096512 135451342 136517888 139290044 145050256 149160992 151386794 152578816 155677108 162114992 166709344 172247179 173603456 177128678 178523392 181187344 186322208 192511553 194027392 197967346 199526144 206154104 211996528 213031832 221257622 222999808 228128576 236937296 242386612 251745877 253728128 254967232 262193024 270902684 278580088 290100512 298321984 302773588 311354216 324229984 333418688 344494358 347206912 354257356 362374688 372644416 385023106 388054784 395934692 412308208 423993056 426063664 442515244 452692643 456257152 473874592 484773224 503491754 505950601 507456256 509934464 524386048 541805368 557160176 580201024 591982687 596643968 605547176 622708432 648459968 661627709 666837376 688988716 708514712 724749376 739466263 745288832 770046212 791869384 824616416 847986112 852127328 885030488 905385286 912514304 947749184 969546448 1006983508 1011901202 1019868928 1083610736 1114320352 1151336407 1160402048 1183965374 1193287936 1211094352 1245416864 1286787749 1296919936 1323255418 1333674752 1377977432 1417029424 1438174543 1449498752 1478932526 1490577664 1540092424 1583738768 1649232832 1682722441 1695972224 1704254656 1770060976 1810770572 1880689787 1895498368 1939092896 2013967016 2023802404 2167221472 2228640704 2302672814 2320804096 2367930748 2422188704 2490833728 2573575498 2593839872 2646510836 2755954864 2834058848 2876349086 2898997504 2957865052 3080184848 3167477536 3272696401 3298465664 3365444882 3391944448 3408509312 3540121952 3621541144 3761379574 3790996736 3878185792 4027934032 4047604808 4334442944 4457281408 4605345628 4735861496 4844377408 4981667456 5147150996 5293021672 5511909728 5668117696 5752698172 5915730104 6160369696 6334955072 6545392802 6596931328 6730889764 6817018624 7080243904 7243082288 7522759148 7695774931 7756371584 8055868064 8095209616 8601160217 8668885888 8914562816 9210691256 9471722992 9613061419 9688754816 9963334912 10294301992 10586043344 11023819456 11247671053 11336235392 11505396344 11831460208 12320739392 12570926471 12669910144 13090785604 13461779528 14049858997 14160487808 14486164576 15045518296 15391549862 15512743168 16111736128 16190419232 17202320434 17337771776 18421382512 18943445984 19226122838 19377509632 20588603984 21172086688 21875391733 22047638912 22495342106 22672470784 23010792688 23662920416 24448967231 24641478784 25141852942 25339820288 26181571208 26923559056 28099717994 28320975616 28972329152 30091036592 30783099724 31971726379 32223472256 32380838464 34404640868 36842765024 37886891968 38452245676 41177207968 42344173376 43750783466 44095277824 44990684212 46021585376 47325840832 48897934462 49282957568 50283705884 52363142416 53847118112 56199435988 57944658304 60182073184 61566199448 63943452758 64446944512 64761676928 68809281736 73685530048 75773783936 76904491352 82354415936 84688346752 87501566932 89981368424 92043170752 94651681664 97795868924 100567411768 104726284832 107694236224 112398871976 115889316608 120364146368 123132398896 127886905516 129523353856 137618563472 146219723689 147371060096 151547567872 153808982704 163422044123 164708831872 169376693504 175003133864 179962736848 182648166961 184086341504 189303363328 195591737848 201134823536 209452569664 213705750007 215388472448 224797743952 238847602949 240728292736 246264797792 255773811032 275237126944 292439447378 294742120192 307617965408 326844088246 329417663744 350006267728 359925473696 365296333922 368172683008 391183475696 402269647072 415632442927 418905139328 427411500014 430776944896 449595487904 477695205898 481456585472 492529595584 511547622064 550474253888 584878894756 615235930816 653688176492 700012535456 719850947392 730592667844 782366951392 804539294144 831264885854 837810278656 854823000028 899190975808 955390411796 985059191168 1023095244128 1100948507776 1169757789512 1230471861632 1307376352984 1400025070912 1439701894784 1461185335688 1564733902784 1609078588288 1662529771708 1709646000056 1798381951616 1910780823592 1970118382336 2046190488256 2201897015552 2339515579024 2460943723264 2614752705968 2778174750091 2800050141824 2879403789568 2922370671376 3105018838337 3129467805568 3218157176576 3325059543416 3419292000112 3596763903232 3821561647184 4060409250133 4092380976512 4679031158048 5229505411936 5556349500182 5600100283648 5844741342752 6210037676674 6258935611136 6650119086832 6838584000224 7643123294368 8120818500266 8184761953024 9358062316096 10459010823872 11112699000364 11689482685504 12420075353348 13300238173664 13677168000448 15286246588736 16241637000532 18716124632192 20918021647744 22225398000728 23378965371008 24840150706696 26600476347328 27354336000896 30572493177472 32483274001064 37432249264384 41836043295488 44450796001456 46757930742016 49680301413392 52785320251729 53200952694656 54708672001792 61144986354944 64966548002128 88901592002912 99360602826784 105570640503458 106401905389312 129933096004256 177803184005824 198721205653568 211141281006916 259866192008512 355606368011648 397442411307136 422282562013832 519732384017024 711212736023296 794884822614272 844565124027664 1039464768034048 1689130248055328 3378260496110656 6756520992221312 13513041984442624
- Sum of all divisors σ(n): 32829949487820800
- Sum of proper divisors (its aliquot sum) s(n): 19316907503378176
- 13513041984442624 is an abundant number, because the sum of its proper divisors (19316907503378176) is greater than itself. Its abundance is 5803865518935552
Bases of 13513041984442624
- Binary: 1100000000001000001010010000110101000101010001000000002
- Hexadecimal: 0x30020A43515100
- Base-36: 3P1Z1SD4RGG
Squares and roots of 13513041984442624
- 13513041984442624 squared (135130419844426242) is 182602303673309049646447948005376
- 13513041984442624 cubed (135130419844426243) is 2467512595993366770140686222658004322243915546624
-
The
square root of 13513041984442624 is 116245610.6029067405 -
The
cube root of 13513041984442624 is 238186.8103751399
Scales and comparisons
How big is 13513041984442624?- 13,513,041,984,442,624 seconds is equal to 429,672,936 years, 27 weeks, 1 day, 17 minutes, 4 seconds.
-
To count from 1 to 13,513,041,984,442,624 would take you about one billion, two hundred eighty-nine million, eighteen thousand, eight hundred nine 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 13513041984442624 cubic inches would be around 19848.9 feet tall.
Recreational maths with 13513041984442624
- 13513041984442624 backwards is 42624448914031531
- The number of decimal digits it has is: 17
- The sum of 13513041984442624's digits is 61
- More coming soon!
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The information we have on file for 13513041984442624 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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