138381593998786560
138,381,593,998,786,560 is an even composite number composed of four prime numbers multiplied together.
138381593998786560 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, six hundred fifty-six divisors.
Prime factorization of 138381593998786560:
222 × 311 × 5 × 1932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 193 × 193)See below for interesting mathematical facts about the number 138381593998786560 from the Numbermatics database.
Names of 138381593998786560
- Cardinal: 138381593998786560 can be written as One hundred thirty-eight quadrillion, three hundred eighty-one trillion, five hundred ninety-three billion, nine hundred ninety-eight million, seven hundred eighty-six thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3838159399878656 × 1017
Factors of 138381593998786560
Divisors of 138381593998786560
- Number of divisors d(n): 1656
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 193 216 240 243 256 270 288 320 324 360 384 386 405 432 480 486 512 540 576 579 640 648 720 729 768 772 810 864 960 965 972 1024 1080 1152 1158 1215 1280 1296 1440 1458 1536 1544 1620 1728 1737 1920 1930 1944 2048 2160 2187 2304 2316 2430 2560 2592 2880 2895 2916 3072 3088 3240 3456 3474 3645 3840 3860 3888 4096 4320 4374 4608 4632 4860 5120 5184 5211 5760 5790 5832 6144 6176 6480 6561 6912 6948 7290 7680 7720 7776 8192 8640 8685 8748 9216 9264 9720 10240 10368 10422 10935 11520 11580 11664 12288 12352 12960 13122 13824 13896 14580 15360 15440 15552 15633 16384 17280 17370 17496 18432 18528 19440 19683 20480 20736 20844 21870 23040 23160 23328 24576 24704 25920 26055 26244 27648 27792 29160 30720 30880 31104 31266 32768 32805 34560 34740 34992 36864 37056 37249 38880 39366 40960 41472 41688 43740 46080 46320 46656 46899 49152 49408 51840 52110 52488 55296 55584 58320 59049 61440 61760 62208 62532 65536 65610 69120 69480 69984 73728 74112 74498 77760 78165 78732 81920 82944 83376 87480 92160 92640 93312 93798 98304 98415 98816 103680 104220 104976 110592 111168 111747 116640 118098 122880 123520 124416 125064 131072 131220 138240 138960 139968 140697 147456 148224 148996 155520 156330 157464 163840 165888 166752 174960 177147 184320 185280 186245 186624 187596 196608 196830 197632 207360 208440 209952 221184 222336 223494 233280 234495 236196 245760 247040 248832 250128 262144 262440 276480 277920 279936 281394 294912 295245 296448 297992 311040 312660 314928 327680 331776 333504 335241 349920 354294 368640 370560 372490 373248 375192 393216 393660 395264 414720 416880 419904 422091 442368 444672 446988 466560 468990 472392 491520 494080 497664 500256 524288 524880 552960 555840 558735 559872 562788 589824 590490 592896 595984 622080 625320 629856 655360 663552 667008 670482 699840 703485 708588 737280 741120 744980 746496 750384 786432 787320 790528 829440 833760 839808 844182 884736 885735 889344 893976 933120 937980 944784 983040 988160 995328 1000512 1005723 1048576 1049760 1105920 1111680 1117470 1119744 1125576 1179648 1180980 1185792 1191968 1244160 1250640 1259712 1266273 1310720 1327104 1334016 1340964 1399680 1406970 1417176 1474560 1482240 1489960 1492992 1500768 1572864 1574640 1581056 1658880 1667520 1676205 1679616 1688364 1769472 1771470 1778688 1787952 1866240 1875960 1889568 1966080 1976320 1990656 2001024 2011446 2097152 2099520 2110455 2211840 2223360 2234940 2239488 2251152 2359296 2361960 2371584 2383936 2488320 2501280 2519424 2532546 2621440 2654208 2668032 2681928 2799360 2813940 2834352 2949120 2964480 2979920 2985984 3001536 3017169 3145728 3149280 3162112 3317760 3335040 3352410 3359232 3376728 3538944 3542940 3557376 3575904 3732480 3751920 3779136 3798819 3932160 3952640 3981312 4002048 4022892 4194304 4199040 4220910 4423680 4446720 4469880 4478976 4502304 4718592 4723920 4743168 4767872 4976640 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281538073728 292938055680 295062994944 296599781376 309586821120 311199252480 312820081920 327847772160 329555312640 331945869312 333674754048 350099159040 351525666816 351922592160 368828743680 370749726720 371504185344 373439102976 375384098304 390584074240 395466375168 412782428160 414932336640 417093442560 422307110592 439407083520 442594492416 444899672064 464380231680 466798878720 468700889088 469230122880 491771658240 494332968960 497918803968 500512131072 527288500224 527883888240 553243115520 556124590080 560158654464 563076147456 585876111360 590125989888 593199562752 619173642240 622398504960 625640163840 659110625280 663891738624 667349508096 700198318080 703051333632 703845184320 737657487360 741499453440 743008370688 746878205952 750768196608 781168148480 790932750336 829864673280 834186885120 844614221184 878814167040 885188984832 889799344128 928760463360 933597757440 938460245760 983543316480 988665937920 995837607936 1001024262144 1054577000448 1055767776480 1106486231040 1112249180160 1120317308928 1126152294912 1171752222720 1186399125504 1238347284480 1244797009920 1251280327680 1318221250560 1327783477248 1334699016192 1400396636160 1406102667264 1407690368640 1475314974720 1482998906880 1493756411904 1501536393216 1581865500672 1659729346560 1668373770240 1689228442368 1757628334080 1770377969664 1779598688256 1857520926720 1867195514880 1876920491520 1977331875840 1991675215872 2002048524288 2109154000896 2111535552960 2212972462080 2224498360320 2240634617856 2252304589824 2343504445440 2372798251008 2489594019840 2502560655360 2636442501120 2655566954496 2669398032384 2800793272320 2815380737280 2950629949440 2965997813760 2987512823808 3003072786432 3163731001344 3319458693120 3336747540480 3378456884736 3515256668160 3559197376512 3715041853440 3734391029760 3753840983040 3954663751680 3983350431744 4004097048576 4218308001792 4223071105920 4425944924160 4448996720640 4481269235712 4504609179648 4745596502016 4979188039680 5005121310720 5272885002240 5311133908992 5338796064768 5601586544640 5630761474560 5931995627520 5975025647616 6006145572864 6327462002688 6638917386240 6673495080960 6756913769472 7030513336320 7118394753024 7468782059520 7507681966080 7909327503360 7966700863488 8008194097152 8446142211840 8851889848320 8897993441280 8962538471424 9009218359296 9491193004032 9958376079360 10010242621440 10545770004480 10677592129536 11203173089280 11261522949120 11863991255040 11950051295232 12012291145728 12654924005376 13277834772480 13346990161920 13513827538944 14236789506048 14937564119040 15015363932160 15818655006720 15933401726976 16016388194304 16892284423680 17795986882560 17925076942848 18018436718592 18982386008064 19916752158720 20020485242880 21091540008960 21355184259072 22406346178560 22523045898240 23727982510080 23900102590464 24024582291456 26555669544960 26693980323840 27027655077888 28473579012096 29875128238080 30030727864320 31637310013440 32032776388608 33784568847360 35591973765120 35850153885696 36036873437184 37964772016128 39833504317440 40040970485760 42710368518144 44812692357120 45046091796480 47455965020160 47800205180928 48049164582912 53387960647680 54055310155776 56947158024192 59750256476160 60061455728640 63274620026880 64065552777216 67569137694720 71183947530240 71700307771392 72073746874368 79667008634880 80081940971520 85420737036288 89625384714240 90092183592960 94911930040320 96098329165824 106775921295360 108110620311552 113894316048384 119500512952320 120122911457280 128131105554432 135138275389440 142367895060480 143400615542784 144147493748736 160163881943040 170841474072576 179250769428480 180184367185920 189823860080640 192196658331648 213551842590720 216221240623104 239001025904640 240245822914560 256262211108864 270276550778880 284735790120960 288294987497472 320327763886080 341682948145152 358501538856960 360368734371840 384393316663296 427103685181440 432442481246208 480491645829120 512524422217728 540553101557760 569471580241920 576589974994944 640655527772160 717003077713920 720737468743680 768786633326592 854207370362880 864884962492416 960983291658240 1025048844435456 1081106203115520 1153179949989888 1281311055544320 1441474937487360 1537573266653184 1708414740725760 1729769924984832 1921966583316480 2162212406231040 2306359899979776 2562622111088640 2882949874974720 3075146533306368 3459539849969664 3843933166632960 4324424812462080 4612719799959552 5125244222177280 5765899749949440 6919079699939328 7687866333265920 8648849624924160 9225439599919104 11531799499898880 13838159399878656 15375732666531840 17297699249848320 23063598999797760 27676318799757312 34595398499696640 46127197999595520 69190796999393280 138381593998786560
- Sum of all divisors σ(n): 500767321646002320
- Sum of proper divisors (its aliquot sum) s(n): 362385727647215760
- 138381593998786560 is an abundant number, because the sum of its proper divisors (362385727647215760) is greater than itself. Its abundance is 224004133648429200
Bases of 138381593998786560
- Binary: 1111010111010000101010011100110011100000000000000000000002
- Hexadecimal: 0x1EBA15399C00000
- Base-36: 11UK6IO00000
Squares and roots of 138381593998786560
- 138381593998786560 squared (1383815939987865602) is 19149465557645000477154752436633600
- 138381593998786560 cubed (1383815939987865603) is 2649933568091777324673166477477742899161691324416000
-
The
square root of 138381593998786560 is 371996766.1133448079 -
The
cube root of 138381593998786560 is 517240.8018402955
Scales and comparisons
How big is 138381593998786560?- 138,381,593,998,786,560 seconds is equal to 4,400,106,646 years, 40 weeks, 6 days, 9 hours, 36 minutes.
-
To count from 1 to 138,381,593,998,786,560 would take you about thirteen billion, two hundred million, three hundred nineteen thousand, nine hundred forty 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 138381593998786560 cubic inches would be around 43103.4 feet tall.
Recreational maths with 138381593998786560
- 138381593998786560 backwards is 065687899395183831
- The number of decimal digits it has is: 18
- The sum of 138381593998786560's digits is 99
- More coming soon!
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"Number 138381593998786560 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138381593998786560 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138381593998786560/
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Numbermatics. 2024. "Number 138381593998786560 - Facts about the integer". https://numbermatics.com/n/138381593998786560/
The information we have on file for 138381593998786560 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!
Keywords: Divisors of 138381593998786560, math, Factors of 138381593998786560, curriculum, school, college, exams, university, Prime factorization of 138381593998786560, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred eighty-one trillion, five hundred ninety-three billion, nine hundred ninety-eight million, seven hundred eighty-six thousand, five hundred sixty.