13978753538387625
13,978,753,538,387,625 is an odd composite number composed of five prime numbers multiplied together.
What does the number 13978753538387625 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
13978753538387625 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13978753538387625:
311 × 53 × 134 × 23 × 312
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 23 × 31 × 31)See below for interesting mathematical facts about the number 13978753538387625 from the Numbermatics database.
Names of 13978753538387625
- Cardinal: 13978753538387625 can be written as Thirteen quadrillion, nine hundred seventy-eight trillion, seven hundred fifty-three billion, five hundred thirty-eight million, three hundred eighty-seven thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.3978753538387625 × 1016
Factors of 13978753538387625
Divisors of 13978753538387625
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 3 5 9 13 15 23 25 27 31 39 45 65 69 75 81 93 115 117 125 135 155 169 195 207 225 243 279 299 325 345 351 375 403 405 465 507 575 585 621 675 713 729 775 837 845 897 961 975 1035 1053 1125 1209 1215 1395 1495 1521 1625 1725 1755 1863 2015 2025 2139 2187 2197 2325 2511 2535 2691 2875 2883 2925 3105 3159 3375 3565 3627 3645 3875 3887 4185 4225 4485 4563 4805 4875 5175 5239 5265 5589 6045 6075 6417 6561 6591 6975 7475 7533 7605 8073 8625 8649 8775 9269 9315 9477 10075 10125 10695 10881 10935 10985 11625 11661 12493 12555 12675 13455 13689 14415 14625 15525 15717 15795 16767 17825 18135 18225 19251 19435 19683 19773 20925 21125 22103 22425 22599 22815 24025 24219 25875 25947 26195 26325 27807 27945 28431 28561 30225 30375 32085 32643 32805 32955 34875 34983 37375 37479 37665 38025 40365 41067 43245 43875 46345 46575 47151 47385 50301 50375 50531 53475 54405 54675 54925 57753 58305 59049 59319 62465 62775 63375 66309 67275 67797 68107 68445 72075 72657 77625 77841 78585 78975 83421 83835 85293 85683 89125 90675 91125 96255 97175 97929 98415 98865 104625 104949 110515 112125 112437 112995 114075 120125 120497 121095 123201 129735 130975 131625 139035 139725 141453 142155 142805 150903 151125 151593 160425 162409 163215 164025 164775 173259 174915 177147 177957 187395 188325 190125 198927 201825 203391 204321 205335 216225 217971 231725 232875 233523 235755 236925 250263 251505 252655 255879 257049 267375 272025 273375 274625 287339 288765 291525 293787 295245 296595 312325 313875 314847 331545 336375 337311 338985 340535 342225 360375 361491 363285 369603 389205 392925 394875 417105 419175 424359 426465 428415 452709 453375 454779 481275 485875 487227 489645 492075 494325 519777 524745 533871 552575 562185 564975 570375 596781 602485 605475 610173 612963 616005 648675 653913 654875 656903 695175 698625 700569 707265 710775 714025 750789 754515 757965 767637 771147 802125 812045 816075 820125 823875 862017 866295 874575 881361 885391 885735 889785 936975 941625 944541 994635 1009125 1011933 1016955 1021605 1026675 1081125 1084473 1089855 1108809 1158625 1167615 1178775 1184625 1251315 1257525 1263275 1273077 1279395 1285245 1358127 1360125 1364337 1436695 1443825 1457625 1461681 1468935 1476225 1482975 1559331 1561625 1566461 1574235 1601613 1657725 1686555 1694925 1702675 1711125 1790343 1807455 1816425 1830519 1838889 1848015 1946025 1961739 1964625 1970709 2085525 2095875 2101707 2111317 2121795 2132325 2142075 2252367 2263545 2273895 2302911 2313441 2406375 2436135 2448225 2460375 2471625 2586051 2598885 2623725 2644083 2656173 2669355 2762875 2810925 2824875 2833623 2983905 3012425 3027375 3035799 3050865 3064815 3080025 3243375 3253419 3269565 3284515 3326427 3475875 3502845 3536325 3553875 3570125 3735407 3753945 3772575 3789825 3819231 3838185 3855735 4060225 4074381 4080375 4093011 4310085 4331475 4372875 4385043 4406805 4426955 4428675 4448925 4677993 4684875 4699383 4722705 4804839 4973175 5059665 5084775 5108025 5133375 5371029 5422365 5449275 5491557 5516667 5544045 5838075 5885217 5893875 5912127 6256575 6287625 6305121 6316375 6333951 6365385 6396975 6426225 6757101 6790635 6821685 6940323 7183475 7219125 7308405 7344675 7381125 7414875 7758153 7796655 7832305 7871175 7932249 7968519 8008065 8288625 8432775 8474625 8500869 8513375 8951715 9037275 9082125 9107397 9152595 9194445 9240075 9730125 9760257 9808695 9853545 9979281 10427625 10508535 10556585 10608975 10661625 10710375 11206221 11261835 11317725 11369475 11457693 11514555 11567205 12180675 12241125 12279033 12930255 12994425 13118625 13155129 13220415 13280865 13346775 14033979 14054625 14098149 14168115 14414517 14919525 15062125 15178995 15254325 15324075 15400125 16113087 16267095 16347825 16422575 16550001 16632135 17514225 17655651 17681625 17736381 18677035 18769725 18862875 18915363 18949125 19001853 19096155 19190925 19278675 20271303 20301125 20363993 20371905 20465055 20820969 21550425 21657375 21925215 22034025 22134775 22143375 22244625 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9681750585 9729798975 10245821625 10277550621 10292670375 10876333725 10926065475 10980289125 11065487355 11116084005 11171250675 11800150713 11858712255 11972057175 12064950729 12606998625 12826250775 12889904625 12929821749 13615558515 13683129525 13745695275 13813912125 13852350837 14054154075 14799520125 14845350897 14919025095 15710259825 15782094575 15788226375 15860417625 15983481735 16136250975 16216331625 16967080611 17044662141 17129251035 17214259725 17427151053 18127222875 18210109125 18442478925 18526806675 18618751125 19577400705 19666917855 19764520425 19953428625 20008951209 20108251215 21279783375 21345682059 21377084625 21549702915 22692597525 22805215875 22909492125 23087251395 23201828325 23423590125 24508005327 24742251495 24865041825 25297477335 26183766375 26639136225 26893751625 28278467685 28407770235 28548751725 28690432875 28770267123 29045251755 30737464875 30832651863 30878011125 32629001175 32778196425 32940867375 33348252015 33513752025 35400452139 35576136765 35916171525 37820995875 38478752325 38669713875 38789465247 40846675545 41049388575 41237085825 41441736375 41557052511 42162462225 44398560375 44536052691 44757075285 47130779475 47346283725 47581252875 47950445205 48408752925 48648994875 50901241833 51133986423 51387753105 52281453159 54381668625 54630327375 55327436775 55580420025 55856253375 59000753565 59293561275 59860285875 60026853627 60324753645 64131253875 64649108745 68077792575 68415647625 68728476375 69261754185 70270770375 73524015981 74226754485 74595125475 78551299125 78910472875 79917408675 80681254875 84835403055 85223310705 85646255175 86071298625 87135755265 92212394625 92497955589 92634033375 97887003525 98334589275 98822602125 100044756045 100541256075 106201356417 106728410295 107748514575 113462987625 115436256975 116009141625 116368395741 122540026635 123711257475 124325209125 124671157533 126487386675 133195681125 133608158073 141392338425 142038851175 142743758625 143851335615 145226258775 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889403419125 900402804405 955812207753 969736631175 1021166888625 1038926312775 1102860239715 1113401317275 1118926882125 1198761130125 1202473422657 1272531045825 1278349660575 1284693827625 1307036328975 1380617633421 1387469333835 1475018839125 1500671340675 1508118841125 1593020346255 1616227718625 1620725047929 1731543854625 1838100399525 1855668862125 1870067362995 2004122371095 2120885076375 2130582767625 2178393881625 2301029389035 2312448889725 2501118901125 2655033910425 2668210257375 2701208413215 2867436623259 2909209893525 3063500665875 3116778938325 3308580719145 3340203951825 3596283390375 3607420267971 3835048981725 3854081482875 3921108986925 4141852900263 4425056517375 4502014022025 4779061038765 4848683155875 4862175143787 5194631563875 5514301198575 5567006586375 6012367113285 6362655229125 6391748302875 6535181644875 6903088167105 6937346669175 7503356703375 7965101731275 8103625239645 8602309869777 9190501997625 9350336814975 10020611855475 11505146945175 11562244448625 12425558700789 13275169552125 13506042066075 14337183116295 14546049467625 15583894691625 16542903595725 16701019759125 18037101339855 19175244908625 19605544934625 20709264501315 22510070110125 23895305193825 24310875718935 27571505992875 30061835566425 34515440835525 34686733345875 37276676102367 39825508656375 40518126198225 43011549348885 46751684074875 50103059277375 57525734725875 62127793503945 67530210330375 71685915581475 82714517978625 90185506699275 103546322506575 111830028307101 119476525969125 121554378594675 150309177832125 172577204177625 186383380511835 202590630991125 215057746744425 310638967519725 358429577907375 450927533496375 517731612532875 559150141535505 607771892973375 931916902559175 1075288733722125 1553194837598625 2795750707677525 4659584512795875 13978753538387625
- Sum of all divisors σ(n): 30566356787715840
- Sum of proper divisors (its aliquot sum) s(n): 16587603249328215
- 13978753538387625 is an abundant number, because the sum of its proper divisors (16587603249328215) is greater than itself. Its abundance is 2608849710940590
Bases of 13978753538387625
- Binary: 1100011010100110011010001011110000111011101110101010012
- Hexadecimal: 0x31A99A2F0EEEA9
- Base-36: 3TN1YQ019K9
Squares and roots of 13978753538387625
- 13978753538387625 squared (139787535383876252) is 195405550486984546124484753140625
- 13978753538387625 cubed (139787535383876253) is 2731526030290516923596482816083071732717384765625
-
The
square root of 13978753538387625 is 118231778.8853217965 -
The
cube root of 13978753538387625 is 240892.2432724151
Scales and comparisons
How big is 13978753538387625?- 13,978,753,538,387,625 seconds is equal to 444,481,123 years, 20 weeks, 4 days, 12 hours, 33 minutes, 45 seconds.
-
To count from 1 to 13,978,753,538,387,625 would take you about one billion, three hundred thirty-three million, four hundred forty-three thousand, three hundred seventy 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 13978753538387625 cubic inches would be around 20074.4 feet tall.
Recreational maths with 13978753538387625
- 13978753538387625 backwards is 52678383535787931
- The number of decimal digits it has is: 17
- The sum of 13978753538387625's digits is 90
- More coming soon!
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"Number 13978753538387625 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 13978753538387625 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13978753538387625/
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The information we have on file for 13978753538387625 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 13978753538387625, math, Factors of 13978753538387625, curriculum, school, college, exams, university, Prime factorization of 13978753538387625, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred seventy-eight trillion, seven hundred fifty-three billion, five hundred thirty-eight million, three hundred eighty-seven thousand, six hundred twenty-five.