138366759535626240
138,366,759,535,626,240 is an even composite number composed of six prime numbers multiplied together.
138366759535626240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138366759535626240:
211 × 32 × 5 × 372 × 149 × 27132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 37 × 37 × 149 × 2713 × 2713)See below for interesting mathematical facts about the number 138366759535626240 from the Numbermatics database.
Names of 138366759535626240
- Cardinal: 138366759535626240 can be written as One hundred thirty-eight quadrillion, three hundred sixty-six trillion, seven hundred fifty-nine billion, five hundred thirty-five million, six hundred twenty-six thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3836675953562624 × 1017
Factors of 138366759535626240
Divisors of 138366759535626240
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 64 72 74 80 90 96 111 120 128 144 148 149 160 180 185 192 222 240 256 288 296 298 320 333 360 370 384 444 447 480 512 555 576 592 596 640 666 720 740 745 768 888 894 960 1024 1110 1152 1184 1192 1280 1332 1341 1369 1440 1480 1490 1536 1665 1776 1788 1920 2048 2220 2235 2304 2368 2384 2560 2664 2682 2713 2738 2880 2960 2980 3072 3330 3552 3576 3840 4107 4440 4470 4608 4736 4768 5120 5328 5364 5426 5476 5513 5760 5920 5960 6144 6660 6705 6845 7104 7152 7680 8139 8214 8880 8940 9216 9472 9536 10240 10656 10728 10852 10952 11026 11520 11840 11920 12321 13320 13410 13565 13690 14208 14304 15360 16278 16428 16539 17760 17880 18432 18944 19072 20535 21312 21456 21704 21904 22052 23040 23680 23840 24417 24642 26640 26820 27130 27380 27565 28416 28608 30720 32556 32856 33078 35520 35760 37888 38144 40695 41070 42624 42912 43408 43808 44104 46080 47360 47680 48834 49284 49617 53280 53640 54260 54760 55130 56832 57216 61605 65112 65712 66156 71040 71520 75776 76288 81390 82140 82695 85248 85824 86816 87616 88208 92160 94720 95360 97668 98568 99234 100381 106560 107280 108520 109520 110260 113664 114432 122085 123210 130224 131424 132312 142080 143040 152576 162780 164280 165390 170496 171648 173632 175232 176416 189440 190720 195336 197136 198468 200762 203981 213120 214560 217040 219040 220520 227328 228864 244170 246420 248085 260448 262848 264624 284160 286080 301143 305152 325560 328560 330780 340992 343296 347264 350464 352832 378880 381440 390672 394272 396936 401524 404237 407962 426240 429120 434080 438080 441040 457728 488340 492840 496170 501905 520896 525696 529248 568320 572160 602286 611943 651120 657120 661560 681984 686592 694528 700928 705664 762880 781344 788544 793872 803048 808474 815924 852480 858240 868160 876160 882080 903429 915456 976680 985680 992340 1003810 1019905 1041792 1051392 1058496 1136640 1144320 1204572 1212711 1223886 1302240 1314240 1323120 1373184 1389056 1401856 1411328 1505715 1525760 1562688 1577088 1587744 1606096 1616948 1631848 1704960 1716480 1736320 1752320 1764160 1806858 1835829 1953360 1971360 1984680 2007620 2021185 2039810 2083584 2102784 2116992 2288640 2409144 2425422 2447772 2604480 2628480 2646240 2746368 2778112 2803712 2822656 3011430 3059715 3125376 3154176 3175488 3212192 3233896 3263696 3409920 3432960 3472640 3504640 3528320 3613716 3638133 3671658 3714097 3906720 3942720 3969360 4015240 4042370 4079620 4167168 4205568 4233984 4517145 4577280 4818288 4850844 4895544 5208960 5256960 5292480 5556224 5645312 6022860 6063555 6119430 6250752 6308352 6350976 6424384 6467792 6527392 6865920 6945280 7009280 7056640 7227432 7276266 7343316 7360369 7428194 7813440 7885440 7938720 8030480 8084740 8159240 8334336 8411136 8467968 9034290 9179145 9636576 9701688 9791088 10417920 10513920 10584960 11142291 11290624 12045720 12127110 12238860 12501504 12616704 12701952 12848768 12935584 13054784 13731840 13890560 14018560 14113280 14454864 14552532 14686632 14720738 14856388 14956769 15626880 15770880 15877440 16060960 16169480 16318480 16668672 16935936 18068580 18190665 18358290 18570485 19273152 19403376 19582176 20835840 21027840 21169920 22081107 22284582 24091440 24254220 24477720 25003008 25233408 25403904 25697536 25871168 26109568 27781120 28226560 28909728 29105064 29373264 29441476 29712776 29913538 31253760 31541760 31754880 32121920 32338960 32636960 33426873 33871872 36137160 36381330 36716580 36801845 37140970 38546304 38806752 39164352 41671680 42055680 42339840 44162214 44569164 44870307 48182880 48508440 48955440 50006016 50807808 51395072 51742336 52219136 55711455 56453120 57819456 58210128 58746528 58882952 59425552 59827076 62507520 63083520 63509760 64243840 64677920 65273920 66243321 66853746 72274320 72762660 73433160 73603690 74281940 74783845 77092608 77613504 78328704 83343360 84679680 88324428 89138328 89740614 96365760 97016880 97910880 101615616 102790144 103484672 104438272 110405535 111422910 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421130872704 425011547904 453435532245 459471943680 483664567728 486932571564 522880613760 526413590880 531264434880 557739321344 561507830272 566682063872 604580709660 608665714455 627456736512 631696309056 637517321856 644886090304 649243428752 678331607040 689207915520 697174151680 701884787840 708352579840 725496851592 730398857346 784320920640 789620386320 796896652320 806107612880 811554285940 836608982016 842261745408 850023095808 906871064490 967329135456 973865143128 1045761227520 1052827181760 1062528869760 1123015660544 1133364127744 1209161419320 1217331428910 1254913473024 1263392618112 1275034643712 1289772180608 1298486857504 1378415831040 1394348303360 1403769575680 1416705159680 1450993703184 1460797714692 1501375428989 1568641841280 1579240772640 1593793304640 1612215225760 1623108571880 1673217964032 1684523490816 1700046191616 1813742128980 1825997143365 1934658270912 1947730286256 2091522455040 2105654363520 2125057739520 2246031321088 2418322838640 2434662857820 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14607977146920 15013754289890 15477266167296 15581842290048 16845234908160 17000461916160 18016505147868 19346582709120 19477302862560 20214281889792 20636354889728 20775789720064 22520631434835 23215899250944 23372763435072 24022006863824 25098269460480 25267852362240 25500692874240 25795443612160 25969737150080 27024757721802 29019874063680 29215954293840 30027508579780 30954532334592 31163684580096 33690469816320 36033010295736 38693165418240 38954605725120 41551579440128 45041262869670 46431798501888 46745526870144 48044013727648 50535704724480 51001385748480 51590887224320 51939474300160 54049515443604 58039748127360 58431908587680 60055017159560 61909064669184 62327369160192 67561894304505 72066020591472 77386330836480 77909211450240 83103158880256 90082525739340 92863597003776 93491053740288 96088027455296 101071409448960 103181774448640 103878948600320 108099030887208 116079496254720 116863817175360 120110034319120 124654738320384 135123788609010 144132041182944 154772661672960 155818422900480 180165051478680 185727194007552 186982107480576 192176054910592 207757897200640 216198061774416 232158992509440 233727634350720 240220068638240 249309476640768 270247577218020 288264082365888 309545323345920 311636845800960 360330102957360 373964214961152 384352109821184 415515794401280 432396123548832 464317985018880 467455268701440 480440137276480 540495154436040 576528164731776 623273691601920 720660205914720 747928429922304 768704219642368 864792247097664 928635970037760 934910537402880 960880274552960 1080990308872080 1153056329463552 1246547383203840 1441320411829440 1537408439284736 1729584494195328 1869821074805760 1921760549105920 2161980617744160 2306112658927104 2882640823658880 3074816878569472 3459168988390656 3739642149611520 3843521098211840 4323961235488320 4612225317854208 5765281647317760 6918337976781312 7687042196423680 8647922470976640 9224450635708416 11530563294635520 13836675953562624 15374084392847360 17295844941953280 23061126589271040 27673351907125248 34591689883906560 46122253178542080 69183379767813120 138366759535626240
- Sum of all divisors σ(n): 496356326074381500
- Sum of proper divisors (its aliquot sum) s(n): 357989566538755260
- 138366759535626240 is an abundant number, because the sum of its proper divisors (357989566538755260) is greater than itself. Its abundance is 219622807003129020
Bases of 138366759535626240
- Binary: 1111010111001001111010101101011101101011111001000000000002
- Hexadecimal: 0x1EB93D5AED7C800
- Base-36: 11UEX7T3NCW0
Squares and roots of 138366759535626240
- 138366759535626240 squared (1383667595356262402) is 19145360144389815015207788976537600
- 138366759535626240 cubed (1383667595356262403) is 2649081443321748003849211183130725581854682906624000
-
The
square root of 138366759535626240 is 371976826.6110487695 -
The
cube root of 138366759535626240 is 517222.3184962919
Scales and comparisons
How big is 138366759535626240?- 138,366,759,535,626,240 seconds is equal to 4,399,634,956 years, 38 weeks, 4 days, 22 hours, 24 minutes.
-
To count from 1 to 138,366,759,535,626,240 would take you about thirteen billion, one hundred ninety-eight million, nine hundred four thousand, eight 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 138366759535626240 cubic inches would be around 43101.9 feet tall.
Recreational maths with 138366759535626240
- 138366759535626240 backwards is 042626535957663831
- The number of decimal digits it has is: 18
- The sum of 138366759535626240's digits is 81
- More coming soon!
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"Number 138366759535626240 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138366759535626240 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138366759535626240/
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The information we have on file for 138366759535626240 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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