138390613442859375
138,390,613,442,859,375 is an odd composite number composed of five prime numbers multiplied together.
138390613442859375 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 138390613442859375:
32 × 56 × 132 × 732 × 1033
(3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 73 × 73 × 103 × 103 × 103)See below for interesting mathematical facts about the number 138390613442859375 from the Numbermatics database.
Names of 138390613442859375
- Cardinal: 138390613442859375 can be written as One hundred thirty-eight quadrillion, three hundred ninety trillion, six hundred thirteen billion, four hundred forty-two million, eight hundred fifty-nine thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38390613442859375 × 1017
Factors of 138390613442859375
Divisors of 138390613442859375
- Number of divisors d(n): 756
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Complete list of divisors:
1 3 5 9 13 15 25 39 45 65 73 75 103 117 125 169 195 219 225 309 325 365 375 507 515 585 625 657 845 927 949 975 1095 1125 1339 1521 1545 1625 1825 1875 2535 2575 2847 2925 3125 3285 4017 4225 4635 4745 4875 5329 5475 5625 6695 7519 7605 7725 8125 8541 9125 9375 10609 12051 12337 12675 12875 14235 14625 15625 15987 16425 17407 20085 21125 22557 23175 23725 24375 26645 27375 28125 31827 33475 37011 37595 38025 38625 40625 42705 45625 46875 47961 52221 53045 60255 61685 63375 64375 67671 69277 71175 73125 79935 82125 87035 95481 97747 100425 105625 111033 112785 115875 118625 121875 133225 136875 137917 140625 156663 159135 167375 185055 187975 190125 193125 203125 207831 213525 228125 239805 261105 265225 293241 301275 308425 316875 321875 338355 346385 355875 365625 399675 410625 413751 435175 477405 488735 502125 528125 548887 555165 563925 579375 593125 609375 623493 666125 684375 689585 774457 783315 795675 836875 879723 900601 925275 939875 950625 965625 1039155 1067625 1092727 1140625 1199025 1241253 1270711 1305525 1326125 1466205 1506375 1542125 1584375 1609375 1646661 1691775 1731925 1779375 1792921 1828125 1998375 2053125 2068755 2175875 2323371 2387025 2443675 2510625 2640625 2701803 2744435 2775825 2819625 2896875 2965625 3117465 3278181 3330625 3421875 3447925 3812133 3872285 3916575 3978375 4184375 4398615 4503005 4626375 4699375 4753125 4828125 4939983 5195775 5338125 5378763 5463635 5995125 6206265 6353555 6527625 6630625 6970113 7135531 7331025 7531875 7710625 7921875 8105409 8233305 8458875 8659625 8896875 8964605 9834543 9991875 10067941 10265625 10343775 10879375 11436399 11616855 11935125 12218375 12553125 13509015 13722175 13879125 14098125 14205451 14484375 14828125 15587325 16136289 16390905 16653125 17239625 19060665 19361425 19582875 19891875 20921875 21406593 21993075 22515025 23131875 23496875 23765625 24699915 25978875 26690625 26893815 27318175 29975625 30203823 31031325 31767775 32638125 33153125 34850565 35677655 36655125 37659375 38553125 40527045 41166525 42294375 42616353 43298125 44484375 44823025 49172715 49959375 50339705 51718875 54396875 56535361 57181995 58084275 59675625 61091875 62765625 64219779 67545075 68610875 69395625 70490625 71027255 77936625 79769071 80681445 81954525 83265625 86198125 90611469 92761903 95303325 96807125 97914375 99459375 107032965 109965375 112575125 115659375 117484375 123499575 127849059 129894375 130883233 133453125 134469075 136590875 149878125 151019115 155156625 158838875 163190625 165765625 169606083 174252825 178388275 183275625 184670863 188296875 192765625 202635225 205832625 211471875 213081765 216490625 224115125 239307213 245863575 249796875 251698525 258594375 271984375 278285709 282676805 285909975 290421375 298378125 305459375 321098895 337725375 343054375 346978125 352453125 355136275 389683125 392649699 398845355 403407225 409772625 430990625 453057345 463809515 476516625 484035625 489571875 497296875 508818249 535164825 549826875 554012589 562875625 578296875 617497875 639245295 649471875 654416165 672345375 682954375 717921639 734959693 749390625 755095575 775783125 794194375 815953125 834857127 848030415 871264125 891941375 916378125 923354315 1013176125 1029163125 1036997923 1057359375 1065408825 1082453125 1120575625 1177949097 1196536065 1229317875 1258492625 1292971875 1391428545 1413384025 1429549875 1452106875 1491890625 1527296875 1605494475 1662037767 1688626875 1715271875 1734890625 1775681375 1948415625 1963248495 1994226775 2017036125 2048863125 2154953125 2204879079 2265286725 2319047575 2382583125 2420178125 2447859375 2544091245 2675824125 2749134375 2770062945 2814378125 3087489375 3110993769 3196226475 3247359375 3272080825 3361726875 3414771875 3589608195 3674798465 3775477875 3878915625 3970971875 4174285635 4240152075 4356320625 4459706875 4581890625 4616771575 5065880625 5145815625 5184989615 5327044125 5602878125 5823142183 5889745485 5982680325 6146589375 6292463125 6464859375 6614637237 6957142725 7066920125 7147749375 7260534375 8027472375 8310188835 8443134375 8576359375 8878406875 9332981307 9554476009 9742078125 9816242475 9971133875 10085180625 10244315625 11024395395 11326433625 11595237875 11912915625 12100890625 12720456225 13379120625 13480972999 13745671875 13850314725 14071890625 15437446875 15554968845 15981132375 16360404125 16808634375 17073859375 17469426549 17948040975 18373992325 18877389375 19394578125 19854859375 20871428175 21200760375 21781603125 22298534375 23083857875 25329403125 25729078125 25924948075 26635220625 28014390625 28663428027 29115710915 29448727425 29913401625 30732946875 31462315625 33073186185 34785713625 35334600625 35738746875 36302671875 40137361875 40442918997 41550944175 42215671875 44392034375 46664906535 47772380045 49081212375 49855669375 50425903125 51221578125 52408279647 55121976975 56632168125 57976189375 59564578125 63602281125 66895603125 67404864995 69251573625 75700848379 77187234375 77774844225 79905661875 81802020625 84043171875 85990284081 87347132745 89740204875 91869961625 94386946875 104357140875 106003801875 108908015625 111492671875 115419289375 121328756991 126647015625 129624740375 133176103125 143317140135 145578554575 147243637125 149567008125 153664734375 157311578125 165365930925 173928568125 176673003125 178693734375 200686809375 202214594985 207754720875 221960171875 227102545137 233324532675 238861900225 245406061875 249278346875 252129515625 262041398235 275609884875 283160840625 289880946875 318011405625 334478015625 337024324975 346257868125 378504241895 388874221125 399528309375 409010103125 429951420405 436735663725 448701024375 459349808125 471934734375 521785704375 530019009375 577096446875 606643784955 648123701875 665880515625 681307635411 716585700675 727892772875 736218185625 747835040625 826829654625 869642840625 883365015625 984111028927 1003434046875 1011072974925 1038773604375 1135512725685 1166622663375 1194309501125 1227030309375 1246391734375 1310206991175 1378049424375 1415804203125 1449404734375 1590057028125 1685121624875 1731289340625 1892521209475 1944371105625 1997641546875 2045050515625 2149757102025 2183678318625 2243505121875 2296749040625 2608928521875 2650095046875 2885482234375 2952333086781 3033218924775 3240618509375 3406538177055 3582928503375 3639463864375 3681090928125 3739175203125 4134148273125 4348214203125 4920555144635 5055364874625 5193868021875 5677563628425 5833113316875 5971547505625 6135151546875 6551034955875 6890247121875 7950285140625 8425608124375 8656446703125 8856999260343 9462606047375 9721855528125 10748785510125 10918391593125 11217525609375 11483745203125 13044642609375 14761665433905 15166094623875 16203092546875 17032690885275 17914642516875 18197319321875 18405454640625 20670741365625 24602775723175 25276824373125 25969340109375 28387818142125 29165566584375 29857737528125 32755174779375 34451235609375 42128040621875 44284996301715 47313030236875 48609277640625 53743927550625 54591957965625 73808327169525 75830473119375 85163454426375 89573212584375 90986596609375 103353706828125 123013878615875 126384121865625 141939090710625 145827832921875 149288687640625 163775873896875 210640203109375 221424981508575 236565151184375 268719637753125 272959789828125 369041635847625 379152365596875 425817272131875 447866062921875 615069393079375 631920609328125 709695453553125 818879369484375 1107124907542875 1182825755921875 1343598188765625 1845208179238125 1895761827984375 2129086360659375 3075346965396875 3548477267765625 5535624537714375 9226040896190625 10645431803296875 15376734826984375 27678122688571875 46130204480953125 138390613442859375
- Sum of all divisors σ(n): 277014570482173680
- Sum of proper divisors (its aliquot sum) s(n): 138623957039314305
- 138390613442859375 is an abundant number, because the sum of its proper divisors (138623957039314305) is greater than itself. Its abundance is 233343596454930
Bases of 138390613442859375
- Binary: 1111010111010100110000111100110101000001010010001011011112
- Hexadecimal: 0x1EBA9879A82916F
- Base-36: 11UNDM544J1R
Squares and roots of 138390613442859375
- 138390613442859375 squared (1383906134428593752) is 19151961889090929954218176025390625
- 138390613442859375 cubed (1383906134428593753) is 2650451754465557681330943873589552206447601318359375
-
The
square root of 138390613442859375 is 372008888.9299009411 -
The
cube root of 138390613442859375 is 517252.0391804563
Scales and comparisons
How big is 138390613442859375?- 138,390,613,442,859,375 seconds is equal to 4,400,393,437 years, 10 weeks, 6 days, 4 hours, 56 minutes, 15 seconds.
-
To count from 1 to 138,390,613,442,859,375 would take you about thirteen billion, two hundred one million, one hundred eighty thousand, three hundred eleven 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 138390613442859375 cubic inches would be around 43104.3 feet tall.
Recreational maths with 138390613442859375
- 138390613442859375 backwards is 573958244316093831
- The number of decimal digits it has is: 18
- The sum of 138390613442859375's digits is 81
- More coming soon!
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"Number 138390613442859375 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
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The information we have on file for 138390613442859375 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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