138343312848
138,343,312,848 is an even composite number composed of seven prime numbers multiplied together.
138343312848 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138343312848:
24 × 3 × 13 × 19 × 127 × 139 × 661
(2 × 2 × 2 × 2 × 3 × 13 × 19 × 127 × 139 × 661)See below for interesting mathematical facts about the number 138343312848 from the Numbermatics database.
Names of 138343312848
- Cardinal: 138343312848 can be written as One hundred thirty-eight billion, three hundred forty-three million, three hundred twelve thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.38343312848 × 1011
Factors of 138343312848
Divisors of 138343312848
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 127 139 152 156 208 228 247 254 278 304 312 381 417 456 494 508 556 624 661 741 762 834 912 988 1016 1112 1322 1482 1524 1651 1668 1807 1976 1983 2032 2224 2413 2641 2644 2964 3048 3302 3336 3614 3952 3966 4826 4953 5282 5288 5421 5928 6096 6604 6672 7228 7239 7923 7932 8593 9652 9906 10564 10576 10842 11856 12559 13208 14456 14478 15846 15864 17186 17653 19304 19812 21128 21684 25118 25779 26416 28912 28956 31369 31692 31728 34333 34372 35306 37677 38608 39624 42256 43368 50236 51558 52959 57912 62738 63384 68666 68744 70612 75354 79248 83947 86736 91879 94107 100472 102999 103116 105918 115824 125476 126768 137332 137488 141224 150708 163267 167894 183758 188214 200944 205998 206232 211836 229489 250952 251841 274664 275637 282448 301416 326534 335407 335788 367516 376428 411996 412464 423672 458978 489801 501904 503682 549328 551274 602832 653068 670814 671576 688467 735032 752856 823992 847344 917956 979602 1006221 1007364 1091311 1102548 1194427 1306136 1341628 1343152 1376934 1470064 1505712 1594993 1647984 1745701 1835912 1959204 2012442 2014728 2182622 2205096 2388854 2612272 2683256 2753868 3189986 3273933 3491402 3583281 3671824 3918408 4024884 4029456 4360291 4365244 4410192 4777708 4784979 5237103 5366512 5507736 6379972 6547866 6982804 7166562 7836816 8049768 8720582 8730488 9555416 9569958 10474206 11015472 11668633 12759944 13080873 13095732 13965608 14333124 16099536 17441164 17460976 19110832 19139916 20734909 20948412 22694113 23337266 25519888 26161746 26191464 27931216 28666248 34882328 35005899 38279832 41469818 41896824 45388226 46674532 52323492 52382928 57332496 62204727 68082339 69764656 70011798 76559664 82939636 83793648 90776452 93349064 104646984 124409454 136164678 140023596 151692229 165879272 181552904 186698128 209293968 221704027 248818908 272329356 280047192 303384458 331758544 363105808 443408054 455076687 497637816 544658712 560094384 606768916 665112081 886816108 910153374 995275632 1089317424 1213537832 1330224162 1773632216 1820306748 2427075664 2660448324 2882152351 3547264432 3640613496 5320896648 5764304702 7281226992 8646457053 10641793296 11528609404 17292914106 23057218808 34585828212 46114437616 69171656424 138343312848
- Sum of all divisors σ(n): 411884748800
- Sum of proper divisors (its aliquot sum) s(n): 273541435952
- 138343312848 is an abundant number, because the sum of its proper divisors (273541435952) is greater than itself. Its abundance is 135198123104
Bases of 138343312848
- Binary: 100000001101011110011101101101110100002
- Hexadecimal: 0x2035E76DD0
- Base-36: 1RJY1BDC
Squares and roots of 138343312848
- 138343312848 squared (1383433128482) is 19138872209759601871104
- 138343312848 cubed (1383433128483) is 2647734985672665680526066843144192
-
The
square root of 138343312848 is 371945.3089474311 -
The
cube root of 138343312848 is 5171.9310185679
Scales and comparisons
How big is 138343312848?- 138,343,312,848 seconds is equal to 4,398 years, 46 weeks, 1 day, 18 hours, 48 seconds.
-
To count from 1 to 138,343,312,848 would take you about eight thousand, seven hundred ninety-seven 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 138343312848 cubic inches would be around 431 feet tall.
Recreational maths with 138343312848
- 138343312848 backwards is 848213343831
- 138343312848 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138343312848's digits is 48
- More coming soon!
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