138674714878415475
138,674,714,878,415,475 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138674714878415475 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 840 divisors.
138674714878415475 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138674714878415475:
313 × 52 × 23 × 31 × 474
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 23 × 31 × 47 × 47 × 47 × 47)See below for interesting mathematical facts about the number 138674714878415475 from the Numbermatics database.
Names of 138674714878415475
- Cardinal: 138674714878415475 can be written as One hundred thirty-eight quadrillion, six hundred seventy-four trillion, seven hundred fourteen billion, eight hundred seventy-eight million, four hundred fifteen thousand, four hundred seventy-five.
Scientific notation
- Scientific notation: 1.38674714878415475 × 1017
Factors of 138674714878415475
Divisors of 138674714878415475
- Number of divisors d(n): 840
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Complete list of divisors:
1 3 5 9 15 23 25 27 31 45 47 69 75 81 93 115 135 141 155 207 225 235 243 279 345 405 423 465 575 621 675 705 713 729 775 837 1035 1081 1175 1215 1269 1395 1457 1725 1863 2025 2115 2139 2187 2209 2325 2511 3105 3243 3525 3565 3645 3807 4185 4371 5175 5405 5589 6075 6345 6417 6561 6627 6975 7285 7533 9315 9729 10575 10695 10935 11045 11421 12555 13113 15525 16215 16767 17825 18225 19035 19251 19683 19881 20925 21855 22599 27025 27945 29187 31725 32085 32805 33135 33511 34263 36425 37665 39339 46575 48645 50301 50807 53475 54675 55225 57105 57753 59049 59643 62775 65565 67797 68479 81075 83835 87561 95175 96255 98415 99405 100533 102789 103823 109275 112995 118017 139725 145935 150903 152421 160425 164025 165675 167555 171315 173259 177147 178929 188325 196695 203391 205437 243225 251505 254035 262683 285525 288765 295245 298215 301599 308367 311469 327825 338985 342395 354051 419175 437805 452709 457263 481275 492075 497025 502665 513945 519115 519777 531441 536787 564975 590085 610173 616311 729675 754515 762105 788049 837775 856575 866295 885735 894645 904797 925101 934407 983475 1016955 1027185 1062153 1257525 1270175 1313415 1358127 1371789 1443825 1476225 1491075 1507995 1541835 1557345 1559331 1575017 1594323 1610361 1694925 1711975 1770255 1830519 1848933 2189025 2263545 2286315 2364147 2387929 2513325 2569725 2595575 2598885 2657205 2683935 2714391 2775303 2803221 2950425 3050865 3081555 3186459 3218513 3772575 3810525 3940245 4074381 4115367 4331475 4428675 4473225 4523985 4625505 4672035 4677993 4725051 4831083 4879681 5084775 5135925 5310765 5491557 5546799 6567075 6790635 6858945 7092441 7163787 7539975 7709175 7786725 7796655 7875085 7971615 8051805 8143173 8325909 8409663 8851275 9152595 9244665 9559377 9655539 11317725 11431575 11820735 11939645 12223143 12346101 12994425 13286025 13419675 13571955 13876515 14016105 14033979 14175153 14493249 14639043 15254325 15407775 15932295 16092565 16474671 16640397 19701225 20371905 20576835 21277323 21491361 22619925 23127525 23360175 23389965 23625255 24155415 24398405 24429519 24977727 25228989 26553825 27457785 27733995 28678131 28966617 33953175 34294725 35462205 35818935 36669429 37038303 38983275 39375425 39858075 40259025 40715865 41629545 42048315 42101937 42525459 43479747 43917129 45762975 46223325 47796885 48277695 49424013 49921191 59103675 59698225 61115715 61730505 63831969 64474083 67859775 69382575 70080525 70169895 70875765 72466245 73195215 73288557 74025799 74933181 75686967 79661475 80462825 82373355 83201985 86034393 86899851 101859525 102884175 106386615 107456805 111114909 112232663 116949825 118126275 120777075 121992025 122147595 124888635 126144945 126305811 127576377 130439241 131751387 137288925 138669975 143390655 144833085 149763573 151270111 177311025 179094675 183347145 185191515 191495907 193422249 203579325 208147725 210241575 210509685 212627295 217398735 219585645 219865671 222077397 227060901 238984425 241388475 247120065 249605955 258103179 260699553 305578575 308652525 319159845 322370415 333344727 336697989 350849475 354378825 362331225 365976075 366442785 370128995 374665905 378434835 378917433 382729131 391317723 395254161 411866775 416009925 430171965 434499255 449290719 453810333 531933075 537284025 555574545 561163315 574487721 580266747 610737975 624443175 630724725 631529055 637881885 652196205 658756935 659597013 666232191 681182703 716953275 724165425 748817865 756350555 774309537 782098659 916735725 925957575 957479535 967111245 1000034181 1010093967 1052548425 1063136475 1086993675 1097928225 1099328355 1110386985 1135304505 1136752299 1148187393 1173953169 1185762483 1235600325 1248029775 1290515895 1303497765 1347872157 1361430999 1595799225 1611852075 1666723635 1683489945 1723463163 1740800241 1832213925 1850644975 1873329525 1892174175 1894587165 1913645655 1956588615 1976270805 1978791039 1998696573 2043548109 2150859825 2172496275 2246453595 2269051665 2322928611 2346295977 2777872725 2805816575 2872438605 2901333735 3000102543 3030281901 3157645275 3189409425 3260981025 3293784675 3297985065 3331160955 3405913515 3444562179 3479212553 3521859507 3557287449 3744089325 3781752775 3871547685 3910493295 4043616471 4084292997 4787397675 4835556225 5000170905 5050469835 5222400723 5496641775 5551934925 5676522525 5683761495 5740936965 5869765845 5928812415 5936373117 5996089719 6130644327 6452579475 6517488825 6739360785 6807154995 7038887931 8333618175 8417449725 8617315815 8704001205 9000307629 9090845703 9472935825 9568228275 9782943075 9881354025 9893955195 9993482865 10217740545 10333686537 10437637659 10671862347 11232267975 11345258325 11614643055 11731479885 12130849413 12252878991 14362193025 14506668675 15000512715 15151409505 15667202169 16489925325 16655804775 17029567575 17222810895 17396062765 17609297535 17786437245 17809119351 17988269157 18391932981 19357738425 19552466475 20218082355 20421464985 21116663793 25000854525 25252349175 26112003615 27000922887 27272537109 28418807475 28704684825 29348829225 29644062075 29681865585 29980448595 30653221635 31001059611 31312912977 32015587041 33696803925 34035774975 35194439655 36392548239 36758636973 43086579075 43520006025 45001538145 45454228515 47001606507 49469775975 49967414325 51088702725 51668432685 52188188295 53359311735 53427358053 53964807471 55175798943 58073215275 58657399425 60654247065 61264394955 63349991379 75002563575 75757047525 78336010845 81002768661 81817611327 86114054475 86980313825 88046487675 88932186225 89045596755 89941345785 91959664905 93003178833 93938738931 96046761123 101090411775 102107324925 105583318965 109177644717 110275910919 130560018075 135004614435 136362685545 141004819521 148409327925 149902242975 153266108175 155005298055 156564564885 160077935205 161894422413 165527396829 175972198275 181962741195 183793184865 190049974137 225007690725 227271142575 235008032535 245452833981 258342163425 260940941475 266796558675 267136790265 269824037355 275878994715 279009536499 281816216793 288140283369 303271235325 306321974775 316749956895 330827732757 391680054225 405013843305 409088056635 423014458563 445227983775 449706728925 459798324525 465015894165 469693694655 480233805615 485683267239 527916594825 545888223585 551379554595 570149922411 675023072175 681813427725 705024097605 736358501943 775026490275 782822824425 800389676025 809472112065 827636984145 837028609497 845448650379 864420850107 909813705975 918965924325 950249870685 992483198271 1175040162675 1227264169905 1269043375689 1335683951325 1349120186775 1379394973575 1395047682495 1409081083965 1440701416845 1457049801717 1583749784475 1654138663785 1710449767233 2025069216525 2045440283175 2115072292815 2209075505829 2325079470825 2348468473275 2401169028075 2428416336195 2511085828491 2536345951137 2593262550321 2729441117925 2756897772975 2850749612055 2977449594813 3525120488025 3681792509715 3807130127067 4047360560325 4138184920725 4185143047485 4227243251895 4322104250535 4371149405151 4751249353425 4962415991355 5131349301699 6136320849525 6345216878445 6627226517487 6975238412475 7045405419825 7203507084225 7285249008585 7609037853411 7779787650963 8270693318925 8552248836165 8932348784439 10575361464075 11045377529145 12142081680975 12555429142455 12681729755685 12966312751605 13113448215453 14253748060275 14887247974065 18408962548575 19035650635335 19881679552461 20925715237425 21136216259475 21610521252675 21855747025755 22827113560233 24812079956775 25656746508495 26797046353317 31726084392225 33136132587435 36426245042925 38045189267055 38898938254815 39340344646359 42761244180825 44661743922195 55226887645725 59645038657383 62777145712275 63408648778425 64831563758025 65567241077265 68481340680699 74436239870325 80391139059951 95178253176675 99408397762305 109278735128775 114135567801165 118021033939077 128283732542475 133985231766585 165680662937175 178935115972149 190225946335275 194494691274075 196701723231795 205444022042097 223308719610975 241173417179853 298225193286915 327836205386325 342406703403495 401955695299755 497041988811525 570677839005825 590105169695385 616332066126291 669926158832925 894675579860745 983508616158975 1027220110210485 1205867085899265 1491125966434575 1712033517017475 1848996198378873 2009778476498775 2950525848476925 3081660330631455 4473377899303725 5136100551052425 5546988595136619 6029335429496325 9244980991894365 15408301653157275 27734942975683095 46224904959471825 138674714878415475
- Sum of all divisors σ(n): 283871537233185792
- Sum of proper divisors (its aliquot sum) s(n): 145196822354770317
- 138674714878415475 is an abundant number, because the sum of its proper divisors (145196822354770317) is greater than itself. Its abundance is 6522107476354842
Bases of 138674714878415475
- Binary: 1111011001010101111101011000111111010100000010010011100112
- Hexadecimal: 0x1ECABEB1FA81273
- Base-36: 11XG30JFKO6R
Squares and roots of 138674714878415475
- 138674714878415475 squared (1386747148784154752) is 19230676546609826309212046719475625
- 138674714878415475 cubed (1386747148784154753) is 2666808587020149206281286361251917421656622885296875
-
The
square root of 138674714878415475 is 372390540.8014756153 -
The
cube root of 138674714878415475 is 517605.7520002757
Scales and comparisons
How big is 138674714878415475?- 138,674,714,878,415,475 seconds is equal to 4,409,426,984 years, 3 weeks, 6 days, 21 hours, 11 minutes, 15 seconds.
-
To count from 1 to 138,674,714,878,415,475 would take you about thirteen billion, two hundred twenty-eight million, two hundred eighty thousand, nine hundred fifty-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 138674714878415475 cubic inches would be around 43133.8 feet tall.
Recreational maths with 138674714878415475
- 138674714878415475 backwards is 574514878417476831
- The number of decimal digits it has is: 18
- The sum of 138674714878415475's digits is 90
- More coming soon!
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"Number 138674714878415475 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 138674714878415475 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138674714878415475/
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The information we have on file for 138674714878415475 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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