138295013934899655705600
138,295,013,934,899,655,705,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 138295013934899655705600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1485 divisors.
138295013934899655705600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred eighty-five divisors.
Prime factorization of 138295013934899655705600:
210 × 34 × 52 × 192 × 135921192
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 19 × 13592119 × 13592119)See below for interesting mathematical facts about the number 138295013934899655705600 from the Numbermatics database.
Names of 138295013934899655705600
- Cardinal: 138295013934899655705600 can be written as One hundred thirty-eight sextillion, two hundred ninety-five quintillion, thirteen quadrillion, nine hundred thirty-four trillion, eight hundred ninety-nine billion, six hundred fifty-five million, seven hundred five thousand, six hundred.
Scientific notation
- Scientific notation: 1.382950139348996557056 × 1023
Factors of 138295013934899655705600
Divisors of 138295013934899655705600
- Number of divisors d(n): 1485
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 90 95 96 100 108 114 120 128 135 144 150 152 160 162 171 180 190 192 200 216 225 228 240 256 270 285 288 300 304 320 324 342 360 361 380 384 400 405 432 450 456 475 480 512 513 540 570 576 600 608 640 648 675 684 720 722 760 768 800 810 855 864 900 912 950 960 1024 1026 1080 1083 1140 1152 1200 1216 1280 1296 1350 1368 1425 1440 1444 1520 1536 1539 1600 1620 1710 1728 1800 1805 1824 1900 1920 2025 2052 2160 2166 2280 2304 2400 2432 2560 2565 2592 2700 2736 2850 2880 2888 3040 3072 3078 3200 3240 3249 3420 3456 3600 3610 3648 3800 3840 4050 4104 4275 4320 4332 4560 4608 4800 4864 5120 5130 5184 5400 5415 5472 5700 5760 5776 6080 6156 6400 6480 6498 6840 6912 7200 7220 7296 7600 7680 7695 8100 8208 8550 8640 8664 9025 9120 9216 9600 9728 9747 10260 10368 10800 10830 10944 11400 11520 11552 12160 12312 12800 12825 12960 12996 13680 13824 14400 14440 14592 15200 15360 15390 16200 16245 16416 17100 17280 17328 18050 18240 19200 19456 19494 20520 20736 21600 21660 21888 22800 23040 23104 24320 24624 25600 25650 25920 25992 27075 27360 27648 28800 28880 29184 29241 30400 30780 32400 32490 32832 34200 34560 34656 36100 36480 38400 38475 38988 41040 41472 43200 43320 43776 45600 46080 46208 48640 48735 49248 51300 51840 51984 54150 54720 57600 57760 58368 58482 60800 61560 64800 64980 65664 68400 69120 69312 72200 72960 76800 76950 77976 81225 82080 82944 86400 86640 87552 91200 92416 97280 97470 98496 102600 103680 103968 108300 109440 115200 115520 116964 121600 123120 129600 129960 131328 136800 138240 138624 144400 145920 146205 153900 155952 162450 164160 172800 173280 175104 182400 184832 194940 196992 205200 207360 207936 216600 218880 230400 231040 233928 243200 243675 246240 259200 259920 262656 273600 277248 288800 291840 292410 307800 311904 324900 328320 345600 346560 364800 369664 389880 393984 410400 414720 415872 433200 437760 462080 467856 486400 487350 492480 518400 519840 525312 547200 554496 577600 584820 615600 623808 649800 656640 691200 693120 729600 731025 779760 787968 820800 831744 866400 875520 924160 935712 974700 984960 1036800 1039680 1094400 1108992 1155200 1169640 1231200 1247616 1299600 1313280 1386240 1459200 1462050 1559520 1575936 1641600 1663488 1732800 1848320 1871424 1949400 1969920 2073600 2079360 2188800 2310400 2339280 2462400 2495232 2599200 2626560 2772480 2924100 3119040 3283200 3326976 3465600 3742848 3898800 3939840 4158720 4377600 4620800 4678560 4924800 4990464 5198400 5544960 5848200 6238080 6566400 6931200 7485696 7797600 7879680 8317440 9241600 9357120 9849600 9980928 10396800 11696400 12476160 13132800 13592119 13862400 14971392 15595200 16634880 18714240 19699200 20793600 23392800 24952320 27184238 27724800 29942784 31190400 37428480 39398400 40776357 41587200 46785600 49904640 54368476 62380800 67960595 74856960 81552714 83174400 93571200 108736952 122329071 124761600 135921190 149713920 163105428 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11971521289378432800 12004775515182261780 12131141573236811904 12636605805455012400 12769622708670328320 12805093882861079232 13338639461313624200 13479046192485346560 14188469676300364800 14216181531136888950 14405730618218714136 15005969393977827225 15163926966546014880 15323547250404393984 15962028385837910400 16006367353576349040 16174855430982415872 16848807740606683200 17073458510481438976 17972061589980462080 18007163272773392670 18196712359855217856 18954908708182518600 19154434063005492480 19207640824291618848 20007959191970436300 20218569288728019840 21282704514450547200 21341823138101798720 21608595927328071204 22465076987475577600 22745890449819022320 23943042578756865600 24009551030364523560 24262283146473623808 25273211610910024800 25539245417340656640 25610187765722158464 26677278922627248400 26958092384970693120 27010744909160089005 28432363062273777900 28811461236437428272 30011938787955654450 30327853933092029760 31924056771675820800 32012734707152698080 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101092846443640099200 102440751062888633856 106709115690508993600 108042979636640356020 113729452249095111600 115245844945749713088 120047755151822617800 121311415732368119040 127696227086703283200 128050938828610792320 134790461924853465600 135053724545800445025 144057306182187141360 145573698878841742848 151639269665460148800 153661126594332950784 160063673535763490400 161748554309824158720 170734585104814389760 172868767418624569632 180071632727733926700 181967123598552178560 191544340630054924800 192076408242916188480 202185692887280198400 204881502125777267712 213418231381017987200 216085959273280712040 227458904498190223200 230491689891499426176 240095510303645235600 242622831464736238080 256101877657221584640 269580923849706931200 270107449091600890050 288114612364374282720 291147397757683485696 303278539330920297600 307322253188665901568 320127347071526980800 341469170209628779520 345737534837249139264 360143265455467853400 363934247197104357120 383088681260109849600 384152816485832376960 404371385774560396800 426836462762035974400 432171918546561424080 454917808996380446400 460983379782998852352 480191020607290471200 485245662929472476160 512203755314443169280 540214898183201780100 576229224728748565440 606557078661840595200 614644506377331803136 640254694143053961600 691475069674498278528 720286530910935706800 727868494394208714240 768305632971664753920 808742771549120793600 853672925524071948800 864343837093122848160 909835617992760892800 921966759565997704704 960382041214580942400 1024407510628886338560 1080429796366403560200 1152458449457497130880 1213114157323681190400 1280509388286107923200 1382950139348996557056 1440573061821871413600 1455736988788417428480 1536611265943329507840 1707345851048143897600 1728687674186245696320 1819671235985521785600 1843933519131995409408 1920764082429161884800 2160859592732807120400 2304916898914994261760 2426228314647362380800 2561018776572215846400 2765900278697993114112 2881146123643742827200 3073222531886659015680 3457375348372491392640 3639342471971043571200 3841528164858323769600 4321719185465614240800 4609833797829988523520 5122037553144431692800 5531800557395986228224 5762292247287485654400 6914750696744982785280 7278684943942087142400 7683056329716647539200 8643438370931228481600 9219667595659977047040 11524584494574971308800 13829501393489965570560 15366112659433295078400 17286876741862456963200 23049168989149942617600 27659002786979931141120 34573753483724913926400 46098337978299885235200 69147506967449827852800 138295013934899655705600
- Sum of all divisors σ(n): 540460863476337270969117
- Sum of proper divisors (its aliquot sum) s(n): 402165849541437615263517
- 138295013934899655705600 is an abundant number, because the sum of its proper divisors (402165849541437615263517) is greater than itself. Its abundance is 263870835606537959557917
Bases of 138295013934899655705600
- Binary: 111010100100011111100110110111011011101100111100011100111000110000100000000002
- Hexadecimal: 0x1D48FCDBB7678E718400
- Base-36: MIQ4OJARRZ9Z400
Squares and roots of 138295013934899655705600
- 138295013934899655705600 squared (1382950139348996557056002) is 19125510879254089953040318584049418633871360000
- 138295013934899655705600 cubed (1382950139348996557056003) is 2644962793558519336567236078943301858796820748189855566440431616000000
-
138295013934899655705600 is a
perfect square number . Itssquare root is 371880375840 -
The
cube root of 138295013934899655705600 is 51713290.6748091697
Scales and comparisons
How big is 138295013934899655705600?- 138,295,013,934,899,655,705,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,295,013,934,899,655,705,600 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 138295013934899655705600 cubic inches would be around 4309440.9 feet tall.
Recreational maths with 138295013934899655705600
- 138295013934899655705600 backwards is 006507556998439310592831
- 138295013934899655705600 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 138295013934899655705600's digits is 108
- More coming soon!
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The information we have on file for 138295013934899655705600 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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