138927334081993600
138,927,334,081,993,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 138927334081993600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2400 divisors.
138927334081993600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138927334081993600:
27 × 52 × 114 × 134 × 473
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 11 × 13 × 13 × 13 × 13 × 47 × 47 × 47)See below for interesting mathematical facts about the number 138927334081993600 from the Numbermatics database.
Names of 138927334081993600
- Cardinal: 138927334081993600 can be written as One hundred thirty-eight quadrillion, nine hundred twenty-seven trillion, three hundred thirty-four billion, eighty-one million, nine hundred ninety-three thousand, six hundred.
Scientific notation
- Scientific notation: 1.389273340819936 × 1017
Factors of 138927334081993600
Divisors of 138927334081993600
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 47 50 52 55 64 65 80 88 94 100 104 110 121 128 130 143 160 169 176 188 200 208 220 235 242 260 275 286 320 325 338 352 376 400 416 440 470 484 517 520 550 572 605 611 640 650 676 704 715 752 800 832 845 880 940 968 1034 1040 1100 1144 1175 1210 1222 1300 1331 1352 1408 1430 1504 1573 1600 1664 1690 1760 1859 1880 1936 2068 2080 2197 2200 2209 2288 2350 2420 2444 2585 2600 2662 2704 2860 3008 3025 3055 3146 3200 3380 3520 3575 3718 3760 3872 4136 4160 4225 4394 4400 4418 4576 4700 4840 4888 5170 5200 5324 5408 5687 5720 6016 6050 6110 6292 6655 6721 6760 7040 7150 7436 7520 7744 7865 7943 8272 8320 8450 8788 8800 8836 9152 9295 9400 9680 9776 10340 10400 10648 10816 10985 11045 11374 11440 12100 12220 12584 12925 13310 13442 13520 14300 14641 14872 15040 15275 15488 15730 15886 16544 16900 17303 17576 17600 17672 18304 18590 18800 19360 19552 20449 20680 20800 21296 21632 21970 22090 22748 22880 24167 24200 24299 24440 25168 25850 26620 26884 27040 28435 28561 28600 28717 29282 29744 30080 30550 31460 31772 33088 33275 33605 33800 34606 35152 35200 35344 37180 37600 38720 39104 39325 39715 40898 41360 41600 42592 43940 44180 45496 45760 46475 48334 48400 48598 48880 50336 51700 53240 53768 54080 54925 55225 56870 57122 57200 57434 58564 59488 61100 62557 62920 63544 66176 66550 67210 67600 69212 70304 70688 73205 73931 74360 75200 77440 78208 78650 79430 81796 82720 85184 86515 87373 87880 88360 90992 91520 92950 96668 96800 97196 97760 100672 102245 103259 103400 103823 106480 107536 108160 109850 110450 113740 114244 114400 114868 117128 118976 120835 121495 122200 125114 125840 127088 133100 134420 135200 138424 140608 141376 142175 142805 143585 146410 147862 148720 150400 157300 158860 163592 165440 168025 170368 173030 174746 175760 176720 181984 185900 190333 193336 193600 194392 195520 198575 201344 204490 206518 206800 207646 212960 215072 219700 220900 224939 227480 228488 228800 229736 234256 237952 241670 242990 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1749053683520 1766399670464 1776382647325 1793999665315 1847437953218 1868307343760 1879148585600 1897784769920 1965359524700 1976094305900 2007272352800 2055138078136 2067063444160 2087563246912 2099361310475 2186317104400 2207999588080 2220811964800 2273769788576 2335384179700 2372230962400 2418904030400 2428799546888 2432116068800 2442893161280 2515660191616 2529400711552 2568922597670 2583829305200 2609454058640 2687182477408 2759999485100 2842212235720 2858704763200 2870399464504 2874318990400 2989291750016 3035999433610 3053616451600 3144575239520 3161750889440 3261817573300 3339599376971 3358978096760 3396922443200 3498107367040 3532799340928 3552765294650 3587999330630 3694875906436 3736614687520 3930719049400 3946799263693 3952188611800 4014544705600 4110276156272 4134126888320 4175126493824 4198722620950 4372634208800 4415999176160 4547539577152 4618594883045 4670768359400 4744461924800 4837808060800 4857599093776 4864232137600 4885786322560 5137845195340 5167658610400 5218908117280 5374364954816 5519998970200 5684424471440 5717409526400 5740798929008 5748637980800 6071998867220 6107232903200 6289150479040 6323501778880 6422306494175 6523635146600 6679198753942 6717956193520 6793844886400 7105530589300 7175998661260 7389751812872 7473229375040 7589998584025 7861438098800 7893598527386 7904377223600 8029089411200 8220552312544 8397445241900 8745268417600 8831998352320 8969998326575 9095079154304 9237189766090 9341536718800 9488923849600 9715198187552 10275690390680 10335317220800 10437816234560 10748729909632 11039997940400 11368848942880 11481597858016 12143997734440 12214465806400 12578300958080 12647003557760 12844612988350 13047270293200 13358397507884 13435912387040 14211061178600 14351997322520 14779503625744 14946458750080 15179997168050 15722876197600 15787197054772 15808754447200 16441104625088 16697996884855 16794890483800 17490536835200 17663996704640 17939996653150 18474379532180 18683073437600 19430396375104 19733996318465 20551380781360 20670634441600 20875632469120 22079995880800 22737697885760 22963195716032 23092974415225 24287995468880 24428931612800 25689225976700 26094540586400 26716795015768 26871824774080 28422122357200 28703994645040 29559007251488 30359994336100 31445752395200 31574394109544 31617508894400 32882209250176 33395993769710 33589780967600 35879993306300 36948759064360 37366146875200 38860792750208 39467992636930 41102761562720 43414791900623 44159991761600 45475395771520 45926391432064 46185948830450 48575990937760 51378451953400 52189081172800 53433590031536 53743649548160 56844244714400 57407989290080 59118014502976 60719988672200 62891504790400 63148788219088 63235017788800 66791987539420 67179561935200 71759986612600 73897518128720 74732293750400 78935985273860 82205523125440 83489984424275 86829583801246 88319983523200 92371897660900 97151981875520 98669981592325 102756903906800 104378162345600 106867180063072 113688489428800 114815978580160 118236029005952 121439977344400 126297576438176 133583975078840 134359123870400 143519973225200 147795036257440 157871970547720 164411046250880 166979968848550 173659167602492 184743795321800 194303963751040 197339963184650 205513807813600 213734360126144 217073959503115 227376978857600 229631957160320 242879954688800 252595152876352 267167950157680 268718247740800 287039946450400 295590072514880 315743941095440 333959937697100 347318335204984 369487590643600 394679926369300 411027615627200 427468720252288 434147919006230 485759909377600 505190305752704 534335900315360 574079892900800 591180145029760 631487882190880 667919875394200 694636670409968 738975181287200 789359852738600 822055231254400 868295838012460 971519818755200 1068671800630720 1085369797515575 1148159785801600 1262975764381760 1335839750788400 1389273340819936 1477950362574400 1578719705477200 1736591676024920 2137343601261440 2170739595031150 2525951528763520 2671679501576800 2778546681639872 2955900725148800 3157439410954400 3473183352049840 4341479190062300 5343359003153600 5557093363279744 6314878821908800 6946366704099680 8682958380124600 10686718006307200 12629757643817600 13892733408199360 17365916760249200 27785466816398720 34731833520498400 69463667040996800 138927334081993600
- Sum of all divisors σ(n): 417859673212332000
- Sum of proper divisors (its aliquot sum) s(n): 278932339130338400
- 138927334081993600 is an abundant number, because the sum of its proper divisors (278932339130338400) is greater than itself. Its abundance is 140005005048344800
Bases of 138927334081993600
- Binary: 1111011011001000110101100100111011000110010011011100000002
- Hexadecimal: 0x1ED91AC9D8C9B80
- Base-36: 11ZXMO76Y7B4
Squares and roots of 138927334081993600
- 138927334081993600 squared (1389273340819936002) is 19300804155129860512847750440960000
- 138927334081993600 cubed (1389273340819936003) is 2681409266910856360415866447606130511195897856000000
-
The
square root of 138927334081993600 is 372729572.3201924851 -
The
cube root of 138927334081993600 is 517919.8631789179
Scales and comparisons
How big is 138927334081993600?- 138,927,334,081,993,600 seconds is equal to 4,417,459,493 years, 18 weeks, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,927,334,081,993,600 would take you about thirteen billion, two hundred fifty-two million, three hundred seventy-eight thousand, four hundred eighty 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 138927334081993600 cubic inches would be around 43160 feet tall.
Recreational maths with 138927334081993600
- 138927334081993600 backwards is 006399180433729831
- The number of decimal digits it has is: 18
- The sum of 138927334081993600's digits is 76
- More coming soon!
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"Number 138927334081993600 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138927334081993600 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138927334081993600/
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The information we have on file for 138927334081993600 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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