138233154476856021120
138,233,154,476,856,021,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 138233154476856021120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1600 divisors.
138233154476856021120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 138233154476856021120:
27 × 34 × 5 × 373 × 4794
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 37 × 37 × 37 × 479 × 479 × 479 × 479)See below for interesting mathematical facts about the number 138233154476856021120 from the Numbermatics database.
Names of 138233154476856021120
- Cardinal: 138233154476856021120 can be written as One hundred thirty-eight quintillion, two hundred thirty-three quadrillion, one hundred fifty-four trillion, four hundred seventy-six billion, eight hundred fifty-six million, twenty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3823315447685602112 × 1020
Factors of 138233154476856021120
Divisors of 138233154476856021120
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 37 40 45 48 54 60 64 72 74 80 81 90 96 108 111 120 128 135 144 148 160 162 180 185 192 216 222 240 270 288 296 320 324 333 360 370 384 405 432 444 479 480 540 555 576 592 640 648 666 720 740 810 864 888 958 960 999 1080 1110 1152 1184 1296 1332 1369 1437 1440 1480 1620 1665 1728 1776 1916 1920 1998 2160 2220 2368 2395 2592 2664 2738 2874 2880 2960 2997 3240 3330 3456 3552 3832 3996 4107 4311 4320 4440 4736 4790 4995 5184 5328 5476 5748 5760 5920 5994 6480 6660 6845 7104 7185 7664 7992 8214 8622 8640 8880 9580 9990 10368 10656 10952 11496 11840 11988 12321 12933 12960 13320 13690 14208 14370 14985 15328 15984 16428 17244 17280 17723 17760 19160 19980 20535 21312 21555 21904 22992 23680 23976 24642 25866 25920 26640 27380 28740 29970 30656 31968 32856 34488 35446 35520 36963 38320 38799 39960 41070 42624 43110 43808 45984 47952 49284 50653 51732 51840 53169 53280 54760 57480 59940 61312 61605 63936 64665 65712 68976 70892 71040 73926 76640 77598 79920 82140 86220 87616 88615 91968 95904 98568 101306 103464 106338 106560 109520 110889 114960 119880 123210 127872 129330 131424 137952 141784 147852 151959 153280 155196 159507 159840 164280 172440 175232 177230 183936 184815 191808 193995 197136 202612 206928 212676 213120 219040 221778 229441 229920 239760 246420 253265 258660 262848 265845 275904 283568 295704 303918 306560 310392 319014 319680 328560 344880 354460 369630 383616 387990 394272 405224 413856 425352 438080 443556 455877 458882 459840 478521 479520 492840 506530 517320 525696 531690 551808 554445 567136 591408 607836 620784 638028 639360 655751 657120 688323 689760 708920 739260 759795 775980 788544 797535 810448 827712 850704 876160 887112 911754 917764 919680 957042 959040 985680 1013060 1034640 1063380 1108890 1134272 1147205 1182816 1215672 1241568 1276056 1311502 1314240 1367631 1376646 1379520 1417840 1435563 1478520 1519590 1551960 1577088 1595070 1620896 1655424 1701408 1774224 1823508 1835528 1914084 1918080 1967253 1971360 2026120 2064969 2069280 2126760 2217780 2268544 2279385 2294410 2365632 2392605 2431344 2483136 2552112 2623004 2628480 2735262 2753292 2759040 2835680 2871126 2957040 3039180 3103920 3190140 3241792 3278755 3402816 3441615 3548448 3647016 3671056 3828168 3934506 3942720 4052240 4102893 4129938 4138560 4253520 4435560 4558770 4588820 4731264 4785210 4862688 4966272 5104224 5246008 5470524 5506584 5671360 5742252 5901759 5914080 6078360 6194907 6207840 6380280 6483584 6557510 6805632 6838155 6883230 7096896 7177815 7294032 7342112 7656336 7869012 7885440 8104480 8205786 8259876 8277120 8489317 8507040 8871120 9117540 9177640 9570420 9725376 9836265 10208448 10324845 10492016 10941048 11013168 11342720 11484504 11803518 11828160 12156720 12389814 12415680 12760560 13115020 13676310 13766460 14193792 14355630 14588064 14684224 15312672 15738024 16208960 16411572 16519752 16978634 17014080 17705277 17742240 18235080 18355280 18584721 19140840 19450752 19672530 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157380240 164115720 165197520 169786340 175056768 177052770 183752064 185847210 188856288 194102296 198237024 203743608 209840320 212463324 218365083 218820960 219804478 220263360 229211559 229690080 236070360 242627870 247796280 251808384 254679510 262585152 264316032 265579155 271658144 283284432 291153444 291761280 297355536 305615412 306253440 314104729 314760480 328231440 329706717 330395040 339572680 354105540 363941805 371694420 377712576 382019265 388204592 396474048 407487216 419680640 424926648 436730166 437641920 439608956 440526720 458423118 459380160 472140720 485255740 495592560 509359020 525170304 531158310 543316288 549511195 566568864 582306888 594711072 611230824 628209458 629520960 655095249 656462880 659413434 660790080 679145360 687634677 708211080 727883610 743388840 755425152 764038530 776409184 792948096 814974432 849853296 873460332 875283840 879217912 916846236 918760320 942314187 944281440 970511480 989120151 991185120 1018718040 1062316620 1086632576 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38955947635940 40165199906688 40623164601570 42160257316224 42640969709610 43331375575008 44535024896536 45483701023584 46747137163128 48145972861120 48747797521884 50101903008603 50206499883360 50537445581760 52590529308519 52700321645280 54164219468760 55668781120670 56854626279480 57775167433344 58433921453910 60247799860032 60644934698112 60934746902355 62329516217504 64997063362512 66802537344804 66941999844480 68225551535376 70120705744692 70267095527040 72068503126489 72218959291680 75309749825040 75806168372640 77911895271880 81246329203140 83503171681005 85281939419220 86662751150016 87650882180865 89070049793072 90967402047168 93494274326256 96291945722240 97495595043768 100203806017206 100412999766720 101074891163520 105181058617038 105400643290560 108328438937520 111337562241340 113709252558960 116867842907820 120495599720064 121869493804710 124659032435008 129994126725024 133605074689608 136451103070752 140241411489384 144137006252978 144437918583360 150305709025809 150619499650080 151612336745280 155823790543760 157771587925557 162492658406280 167006343362010 170563878838440 173325502300032 175301764361730 178140099586144 181934804094336 186988548652512 194991190087536 200407612034412 200825999533440 210362117234076 210801286581120 216205509379467 216656877875040 222675124482680 227418505117920 233735685815640 243738987609420 249318064870016 250509515043015 259988253450048 262952646542595 267210149379216 272902206141504 280482822978768 288274012505956 288875837166720 300611418051618 301238999300160 303224673490560 311647581087520 315543175851114 324985316812560 334012686724020 341127757676880 350603528723460 356280199172288 360342515632445 373977097305024 389982380175072 400815224068824 420724234468152 432411018758934 433313755750080 445350248965360 450917127077427 454837010235840 467471371631280 487477975218840 501019030086030 519976506900096 525905293085190 534420298758432 545804412283008 560965645957536 576548025011912 601222836103236 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2666534615680093 2672101493792160 2729022061415040 2804828229787680 2882740125059560 3006114180516180 3155431758511140 3206521792550592 3243082640692005 3365793875745216 3459288150071472 3562801991722880 3607337016619416 3739770973050240 3891699168830406 3899823801750720 4008152240688240 4207242344681520 4324110187589340 4509171270774270 4612384200095296 4809782688825888 5048690813617824 5188932225107208 5333069231360186 5344202987584320 5609656459575360 5765480250119120 5837548753245609 6012228361032360 6310863517022280 6413043585101184 6486165281384010 6731587751490432 6918576300142944 7214674033238832 7783398337660812 7799647603501440 7999603847040279 8016304481376480 8414484689363040 8648220375178680 9018342541548540 9224768400190592 9619565377651776 9729247922076015 10097381627235648 10377864450214416 10666138462720372 10688405975168640 11219312919150720 11530960500238240 11675097506491218 12024456722064720 12621727034044560 12972330562768020 13332673078400465 13837152600285888 14429348066477664 15566796675321624 15999207694080558 16032608962752960 16828969378726080 17296440750357360 18036685083097080 19239130755303552 19458495844152030 20194763254471296 20755728900428832 21332276925440744 23061921000476480 23350195012982436 23998811541120837 24048913444129440 25243454068089120 25944661125536040 26665346156800930 27674305200571776 28858696132955328 29187743766228045 31133593350643248 31998415388161116 32065217925505920 33657938757452160 34592881500714720 36073370166194160 38916991688304060 39998019235201395 41511457800857664 42664553850881488 46123842000952960 46700390025964872 47997623082241674 48097826888258880 50486908136178240 51889322251072080 53330692313601860 57717392265910656 58375487532456090 62267186701286496 63996830776322232 69185763001429440 71996434623362511 72146740332388320 77833983376608120 79996038470402790 83022915601715328 85329107701762976 93400780051929744 95995246164483348 96195653776517760 100973816272356480 103778644502144160 106661384627203720 116750975064912180 119994057705604185 124534373402572992 127993661552644464 138371526002858880 143992869246725022 144293480664776640 155667966753216240 159992076940805580 170658215403525952 186801560103859488 191990492328966696 207557289004288320 213322769254407440 215989303870087533 233501950129824360 239988115411208370 249068746805145984 255987323105288928 287985738493450044 288586961329553280 311335933506432480 319984153881611160 341316430807051904 359982173116812555 373603120207718976 383980984657933392 415114578008576640 426645538508814880 431978607740175066 467003900259648720 479976230822416740 511974646210577856 575971476986900088 622671867012864960 639968307763222320 719964346233625110 747206240415437952 767961969315866784 853291077017629760 863957215480350132 934007800519297440 959952461644833480 1023949292421155712 1079946519350437665 1151942953973800176 1245343734025729920 1279936615526444640 1439928692467250220 1535923938631733568 1706582154035259520 1727914430960700264 1868015601038594880 1919904923289666960 2159893038700875330 2303885907947600352 2559873231052889280 2879857384934500440 3071847877263467136 3455828861921400528 3736031202077189760 3839809846579333920 4319786077401750660 4607771815895200704 5119746462105778560 5759714769869000880 6911657723842801056 7679619693158667840 8639572154803501320 9215543631790401408 11519429539738001760 13823315447685602112 15359239386317335680 17279144309607002640 23038859079476003520 27646630895371204224 34558288619214005280 46077718158952007040 69116577238428010560 138233154476856021120
- Sum of all divisors σ(n): 508429376143084459800
- Sum of proper divisors (its aliquot sum) s(n): 370196221666228438680
- 138233154476856021120 is an abundant number, because the sum of its proper divisors (370196221666228438680) is greater than itself. Its abundance is 231963067189372417560
Bases of 138233154476856021120
- Binary: 11101111110010111101101000110011011001001101011001110010000100000002
- Hexadecimal: 0x77E5ED19B26B39080
- Base-36: T68AZNFP1FS00
Squares and roots of 138233154476856021120
- 138233154476856021120 squared (1382331544768560211202) is 19108404996622339834008089838397886054400
- 138233154476856021120 cubed (1382331544768560211203) is 2641415099704423358753630732426669078462247316920319868928000
-
The
square root of 138233154476856021120 is 11757259649.9718428697 -
The
cube root of 138233154476856021120 is 5170557.9060997885
Scales and comparisons
How big is 138233154476856021120?- 138,233,154,476,856,021,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 138,233,154,476,856,021,120 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 138233154476856021120 cubic inches would be around 430879.8 feet tall.
Recreational maths with 138233154476856021120
- 138233154476856021120 backwards is 021120658674451332831
- 138233154476856021120 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138233154476856021120's digits is 72
- More coming soon!
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The information we have on file for 138233154476856021120 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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