138374903352385917504
138,374,903,352,385,917,504 is an even composite number composed of five prime numbers multiplied together.
138374903352385917504 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred sixty-seven divisors.
Prime factorization of 138374903352385917504:
26 × 32 × 72 × 712 × 9861912
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 71 × 71 × 986191 × 986191)See below for interesting mathematical facts about the number 138374903352385917504 from the Numbermatics database.
Names of 138374903352385917504
- Cardinal: 138374903352385917504 can be written as One hundred thirty-eight quintillion, three hundred seventy-four quadrillion, nine hundred three trillion, three hundred fifty-two billion, three hundred eighty-five million, nine hundred seventeen thousand, five hundred four.
Scientific notation
- Scientific notation: 1.38374903352385917504 × 1020
Factors of 138374903352385917504
Divisors of 138374903352385917504
- Number of divisors d(n): 567
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 71 72 84 96 98 112 126 142 144 147 168 192 196 213 224 252 284 288 294 336 392 426 441 448 497 504 568 576 588 639 672 784 852 882 994 1008 1136 1176 1278 1344 1491 1568 1704 1764 1988 2016 2272 2352 2556 2982 3136 3408 3479 3528 3976 4032 4473 4544 4704 5041 5112 5964 6816 6958 7056 7952 8946 9408 10082 10224 10437 11928 13632 13916 14112 15123 15904 17892 20164 20448 20874 23856 27832 28224 30246 31311 31808 35287 35784 40328 40896 41748 45369 47712 55664 60492 62622 70574 71568 80656 83496 90738 95424 105861 111328 120984 125244 141148 143136 161312 166992 181476 211722 222656 241968 247009 250488 282296 286272 317583 322624 333984 362952 423444 483936 494018 500976 564592 635166 667968 725904 741027 846888 967872 986191 988036 1001952 1129184 1270332 1451808 1482054 1693776 1972382 1976072 2003904 2223081 2258368 2540664 2903616 2958573 2964108 3387552 3944764 3952144 4446162 5081328 5917146 5928216 6775104 6903337 7889528 7904288 8875719 8892324 10162656 11834292 11856432 13806674 15779056 15808576 17751438 17784648 20325312 20710011 23668584 23712864 27613348 31558112 35502876 35569296 41420022 47337168 47425728 48323359 55226696 62130033 63116224 70019561 71005752 71138592 82840044 94674336 96646718 110453392 124260066 140039122 142011504 142277184 144970077 165680088 189348672 193293436 210058683 220906784 248520132 280078244 284023008 289940154 331360176 386586872 420117366 434910231 441813568 490136927 497040264 560156488 568046016 579880308 630176049 662720352 773173744 840234732 869820462 980273854 994080528 1120312976 1159760616 1260352098 1325440704 1470410781 1546347488 1680469464 1739640924 1960547708 1988161056 2240625952 2319521232 2520704196 2940821562 3092694976 3360938928 3430958489 3479281848 3921095416 3976322112 4411232343 4481251904 4639042464 4971388831 5041408392 5881643124 6721877856 6861916978 6958563696 7842190832 8822464686 9278084928 9942777662 10082816784 10292875467 11763286248 13443755712 13723833956 13917127392 14914166493 15684381664 17644929372 19885555324 20165633568 20585750934 23526572496 27447667912 27834254784 29828332986 30878626401 31368763328 34799721817 35289858744 39771110648 40331267136 41171501868 44742499479 47053144992 54895335824 59656665972 61757252802 69599443634 70579717488 79542221296 82343003736 89484998958 94106289984 104399165451 109790671648 119313331944 123514505604 139198887268 141159434976 159084442592 164686007472 178969997916 208798330902 219581343296 238626663888 243598052719 247029011208 278397774536 282318869952 313197496353 318168885184 329372014944 357939995832 417596661804 477253327776 487196105438 494058022416 556795549072 626394992706 658744029888 715879991664 730794158157 835193323608 954506655552 972572688481 974392210876 988116044832 1113591098144 1252789985412 1431759983328 1461588316314 1670386647216 1945145376962 1948784421752 1976232089664 2192382474471 2227182196288 2505579970824 2863519966656 2917718065443 2923176632628 3340773294432 3890290753924 3897568843504 4384764948942 5011159941648 5835436130886 5846353265256 6681546588864 6808008819367 7780581507848 7795137687008 8753154196329 8769529897884 10022319883296 11670872261772 11692706530512 13616017638734 15561163015696 15590275374016 17506308392658 17539059795768 20044639766592 20424026458101 23341744523544 23385413061024 27232035277468 31122326031392 35012616785316 35078119591536 40848052916202 46683489047088 46770826122048 47656061735569 54464070554936 61272079374303 62244652062784 69052660882151 70025233570632 70156239183072 81696105832404 93366978094176 95312123471138 108928141109872 122544158748606 138105321764302 140050467141264 140312478366144 142968185206707 163392211664808 186733956188352 190624246942276 207157982646453 217856282219744 245088317497212 276210643528604 280100934282528 285936370413414 326784423329616 381248493884552 414315965292906 428904555620121 435712564439488 483368626175057 490176634994424 552421287057208 560201868565056 571872740826828 621473947939359 653568846659232 762496987769104 828631930585812 857809111240242 966737252350114 980353269988848 1104842574114416 1143745481653656 1242947895878718 1307137693318464 1450105878525171 1524993975538208 1657263861171624 1715618222480484 1933474504700228 1960706539977696 2209685148228832 2287490963307312 2485895791757436 2900211757050342 3049987951076416 3314527722343248 3383580383225399 3431236444960968 3866949009400456 3921413079955392 4350317635575513 4419370296457664 4574981926614624 4902738922632721 4971791583514872 5800423514100684 6629055444686496 6767160766450798 6862472889921936 7733898018800912 8700635271151026 9149963853229248 9805477845265442 9943583167029744 10150741149676197 11600847028201368 13258110889372992 13534321532901596 13724945779843872 14708216767898163 15467796037601824 17401270542302052 19610955690530884 19887166334059488 20301482299352394 23201694056402736 27068643065803192 27449891559687744 29416433535796326 30452223449028591 30935592075203648 34319172458429047 34802541084604104 39221911381061768 39774332668118976 40602964598704788 44124650303694489 46403388112805472 54137286131606384 58832867071592652 60904446898057182 68638344916858094 69605082169208208 78443822762123536 81205929197409576 88249300607388978 92806776225610944 102957517375287141 108274572263212768 117665734143185304 121808893796114364 137276689833716188 139210164338416416 156887645524247072 162411858394819152 176498601214777956 205915034750574282 216549144526425536 235331468286370608 240234207209003329 243617787592228728 274553379667432376 278420328676832832 308872552125861423 313775291048494144 324823716789638304 352997202429555912 411830069501148564 470662936572741216 480468414418006658 487235575184457456 549106759334864752 617745104251722846 649647433579276608 705994404859111824 720702621627009987 823660139002297128 941325873145482432 960936828836013316 974471150368914912 1098213518669729504 1235490208503445692 1411988809718223648 1441405243254019974 1647320278004594256 1921873657672026632 1948942300737829824 2162107864881029961 2196427037339459008 2470980417006891384 2823977619436447296 2882810486508039948 3294640556009188512 3843747315344053264 4324215729762059922 4941960834013782768 5765620973016079896 6589281112018377024 7687494630688106528 8648431459524119844 9883921668027565536 11531241946032159792 15374989261376213056 17296862919048239688 19767843336055131072 23062483892064319584 34593725838096479376 46124967784128639168 69187451676192958752 138374903352385917504
- Sum of all divisors σ(n): 467972390972937132243
- Sum of proper divisors (its aliquot sum) s(n): 329597487620551214739
- 138374903352385917504 is an abundant number, because the sum of its proper divisors (329597487620551214739) is greater than itself. Its abundance is 191222584268165297235
Bases of 138374903352385917504
- Binary: 11110000000010101100110100101110101000100111111100011010010010000002
- Hexadecimal: 0x78056697513F8D240
- Base-36: T7B2PFM54FF40
Squares and roots of 138374903352385917504
- 138374903352385917504 squared (1383749033523859175042) is 19147613877782143430539839079135893590016
- 138374903352385917504 cubed (1383749033523859175043) is 2649549219766907436667621403609545887262602094664700574040064
-
138374903352385917504 is a
perfect square number . Itssquare root is 11763286248 -
The
cube root of 138374903352385917504 is 5172324.6563751915
Scales and comparisons
How big is 138374903352385917504?- 138,374,903,352,385,917,504 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,374,903,352,385,917,504 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138374903352385917504 cubic inches would be around 431027.1 feet tall.
Recreational maths with 138374903352385917504
- 138374903352385917504 backwards is 405719583253309473831
- The number of decimal digits it has is: 21
- The sum of 138374903352385917504's digits is 90
- More coming soon!
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The information we have on file for 138374903352385917504 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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