138821491715504
138,821,491,715,504 is an even composite number composed of six prime numbers multiplied together.
What does the number 138821491715504 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
138821491715504 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138821491715504:
24 × 13 × 17 × 192 × 31 × 18732
(2 × 2 × 2 × 2 × 13 × 17 × 19 × 19 × 31 × 1873 × 1873)See below for interesting mathematical facts about the number 138821491715504 from the Numbermatics database.
Names of 138821491715504
- Cardinal: 138821491715504 can be written as One hundred thirty-eight trillion, eight hundred twenty-one billion, four hundred ninety-one million, seven hundred fifteen thousand, five hundred four.
Scientific notation
- Scientific notation: 1.38821491715504 × 1014
Factors of 138821491715504
Divisors of 138821491715504
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 4 8 13 16 17 19 26 31 34 38 52 62 68 76 104 124 136 152 208 221 247 248 272 304 323 361 403 442 494 496 527 589 646 722 806 884 988 1054 1178 1292 1444 1612 1768 1873 1976 2108 2356 2584 2888 3224 3536 3746 3952 4199 4216 4693 4712 5168 5776 6137 6448 6851 7492 7657 8398 8432 9386 9424 10013 11191 12274 13702 14984 15314 16796 18772 20026 22382 24349 24548 27404 29968 30628 31841 33592 35587 37544 40052 44764 48698 49096 54808 58063 61256 63682 67184 71174 75088 79781 80104 89528 97396 98192 109616 116126 122512 127364 130169 142348 145483 159562 160208 179056 190247 194792 232252 254728 260338 284696 290966 319124 380494 389584 413933 462631 464504 509456 520676 569392 581932 604979 638248 676153 754819 760988 827866 925262 929008 987071 1041352 1103197 1163864 1209958 1276496 1352306 1509638 1521976 1655732 1850524 1974142 2082704 2206394 2327728 2419916 2473211 2704612 3019276 3043952 3311464 3508129 3701048 3948284 4412788 4839832 4946422 5409224 6038552 6622928 7016258 7402096 7864727 7896568 8789989 8825576 9679664 9892844 10818448 11494601 12077104 12831923 14032516 14341561 15729454 15793136 17579978 17651152 18754349 19785688 20960743 22989202 25663846 28065032 28683122 31458908 35159956 37508698 39571376 41921486 45605677 45978404 51327692 56130064 57366244 59638193 62917816 66654451 70319912 75017396 83842972 91211354 91956808 102655384 108751999 114732488 119276386 125835632 133308902 140639824 149429813 150034792 167685944 182422708 183913616 205310768 217503998 229464976 238552772 243806537 266617804 272489659 298859626 300069584 335371888 356332631 364845416 435007996 477105544 487613074 533235608 544979318 597719252 712665262 729690832 775296509 866507863 870015992 954211088 975226148 1066471216 1089958636 1133125667 1195438504 1266434569 1413775987 1425330524 1550593018 1733015726 1740031984 1848783983 1950452296 2066287981 2179917272 2266251334 2390877008 2532869138 2827551974 2850661048 3101186036 3466031452 3697567966 3900904592 4132575962 4359834544 4532502668 4632324203 5065738276 5655103948 5701322096 6202372072 6932062904 7395135932 8265151924 9065005336 9264648406 10131476552 11310207896 12404744144 13864125808 14730633671 14790271864 16463649397 16530303848 18130010672 18529296812 20262953104 21529387673 22620415792 24034191779 26861743753 29461267342 29580543728 32927298794 33060607696 35126895677 37058593624 39259471639 43058775346 48068383558 53723487506 58922534684 65854597588 70253791354 74117187248 78518943278 86117550692 96136767116 107446975012 117845069368 131709195176 140507582708 157037886556 172235101384 192273534232 214893950024 235690138736 263418390352 279882039749 281015165416 314075773112 344470202768 384547068464 429787900048 456649643801 510373131307 559764079498 562030330832 628151546224 667411017863 913299287602 1020746262614 1119528158996 1334822035726 1826598575204 2041492525228 2239056317992 2669644071452 3653197150408 4082985050456 4478112635984 5339288142904 7306394300816 8165970100912 8676343232219 10678576285808 17352686464438 34705372928876 69410745857752 138821491715504
- Sum of all divisors σ(n): 334306388771712
- Sum of proper divisors (its aliquot sum) s(n): 195484897056208
- 138821491715504 is an abundant number, because the sum of its proper divisors (195484897056208) is greater than itself. Its abundance is 56663405340704
Bases of 138821491715504
- Binary: 111111001000001111001011011001101101101101100002
- Hexadecimal: 0x7E41E5B36DB0
- Base-36: 1D7HPNWHWW
Squares and roots of 138821491715504
- 138821491715504 squared (1388214917155042) is 19271406562117745704873974016
- 138821491715504 cubed (1388214917155043) is 2675285406409138057130946562816525760344064
-
The
square root of 138821491715504 is 11782253.2529013311 -
The
cube root of 138821491715504 is 51778.8303297151
Scales and comparisons
How big is 138821491715504?- 138,821,491,715,504 seconds is equal to 4,414,094 years, 1 week, 5 days, 4 hours, 31 minutes, 44 seconds.
-
To count from 1 to 138,821,491,715,504 would take you about eleven million, thirty-five thousand, two hundred thirty-five 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 138821491715504 cubic inches would be around 4314.9 feet tall.
Recreational maths with 138821491715504
- 138821491715504 backwards is 405517194128831
- The number of decimal digits it has is: 15
- The sum of 138821491715504's digits is 59
- More coming soon!
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