138986128125
138,986,128,125 is an odd composite number composed of four prime numbers multiplied together.
138986128125 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred seventy-eight divisors.
Prime factorization of 138986128125:
36 × 55 × 132 × 192
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 19 × 19)See below for interesting mathematical facts about the number 138986128125 from the Numbermatics database.
Names of 138986128125
- Cardinal: 138986128125 can be written as One hundred thirty-eight billion, nine hundred eighty-six million, one hundred twenty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38986128125 × 1011
Factors of 138986128125
Divisors of 138986128125
- Number of divisors d(n): 378
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Complete list of divisors:
1 3 5 9 13 15 19 25 27 39 45 57 65 75 81 95 117 125 135 169 171 195 225 243 247 285 325 351 361 375 405 475 507 513 585 625 675 729 741 845 855 975 1053 1083 1125 1215 1235 1425 1521 1539 1625 1755 1805 1875 2025 2223 2375 2535 2565 2925 3125 3159 3211 3249 3375 3645 3705 4225 4275 4563 4617 4693 4875 5265 5415 5625 6075 6175 6669 7125 7605 7695 8125 8775 9025 9375 9477 9633 9747 10125 11115 11875 12675 12825 13689 13851 14079 14625 15795 16055 16245 16875 18225 18525 20007 21125 21375 22815 23085 23465 24375 26325 27075 28125 28899 29241 30375 30875 33345 35625 38025 38475 40625 41067 42237 43875 45125 47385 48165 48735 50625 55575 59375 60021 61009 63375 64125 68445 69255 70395 73125 78975 80275 81225 84375 86697 87723 91125 92625 100035 105625 106875 114075 115425 117325 121875 123201 126711 131625 135375 144495 146205 151875 154375 166725 178125 180063 183027 190125 192375 205335 211185 219375 225625 236925 240825 243675 253125 260091 263169 277875 300105 305045 316875 320625 342225 346275 351975 365625 380133 394875 401375 406125 433485 438615 455625 463125 500175 528125 534375 549081 570375 577125 586625 616005 633555 658125 676875 722475 731025 759375 771875 780273 833625 900315 915135 950625 961875 1026675 1055925 1096875 1128125 1140399 1184625 1204125 1218375 1300455 1315845 1389375 1500525 1525225 1584375 1603125 1647243 1711125 1731375 1759875 1900665 1974375 2006875 2030625 2167425 2193075 2278125 2315625 2340819 2500875 2745405 2851875 2885625 2933125 3080025 3167775 3290625 3384375 3421197 3612375 3655125 3901365 4168125 4501575 4575675 4753125 4809375 4941729 5133375 5279625 5701995 5923125 6020625 6091875 6502275 6579225 6946875 7502625 7626125 8236215 8555625 8656875 8799375 9503325 9871875 10034375 10153125 10837125 10965375 11704095 12504375 13727025 14259375 14428125 14665625 14825187 15400125 15838875 17105985 18061875 18275625 19506825 20840625 22507875 22878375 24708645 25666875 26398125 28509975 29615625 30103125 30459375 32511375 32896125 37513125 38130625 41181075 42778125 43284375 43996875 44475561 47516625 54185625 54826875 58520475 62521875 68635125 74125935 77000625 79194375 85529925 90309375 91378125 97534125 112539375 114391875 123543225 128334375 131990625 142549875 162556875 164480625 187565625 190653125 205905375 222377805 237583125 270928125 274134375 292602375 343175625 370629675 385003125 395971875 427649625 487670625 562696875 571959375 617716125 712749375 812784375 822403125 1029526875 1111889025 1187915625 1463011875 1715878125 1853148375 2138248125 2438353125 3088580625 3563746875 5147634375 5559445125 7315059375 9265741875 10691240625 15442903125 27797225625 46328709375 138986128125
- Sum of all divisors σ(n): 297665475534
- Sum of proper divisors (its aliquot sum) s(n): 158679347409
- 138986128125 is an abundant number, because the sum of its proper divisors (158679347409) is greater than itself. Its abundance is 19693219284
Bases of 138986128125
- Binary: 100000010111000011100000000010111111012
- Hexadecimal: 0x205C3802FD
- Base-36: 1RUKR2T9
Squares and roots of 138986128125
- 138986128125 squared (1389861281252) is 19317143811178916015625
- 138986128125 cubed (1389861281253) is 2684815024749563628646270751953125
-
The
square root of 138986128125 is 372808.4335486525 -
The
cube root of 138986128125 is 5179.9291409761
Scales and comparisons
How big is 138986128125?- 138,986,128,125 seconds is equal to 4,419 years, 17 weeks, 17 hours, 48 minutes, 45 seconds.
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To count from 1 to 138,986,128,125 would take you about eight thousand, eight hundred thirty-eight 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 138986128125 cubic inches would be around 431.7 feet tall.
Recreational maths with 138986128125
- 138986128125 backwards is 521821689831
- The number of decimal digits it has is: 12
- The sum of 138986128125's digits is 54
- More coming soon!
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