138857680
138,857,680 is an even composite number composed of six prime numbers multiplied together.
138857680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138857680:
24 × 5 × 13 × 31 × 59 × 73
(2 × 2 × 2 × 2 × 5 × 13 × 31 × 59 × 73)See below for interesting mathematical facts about the number 138857680 from the Numbermatics database.
Names of 138857680
- Cardinal: 138857680 can be written as One hundred thirty-eight million, eight hundred fifty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3885768 × 108
Factors of 138857680
Divisors of 138857680
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 31 40 52 59 62 65 73 80 104 118 124 130 146 155 208 236 248 260 292 295 310 365 403 472 496 520 584 590 620 730 767 806 944 949 1040 1168 1180 1240 1460 1534 1612 1829 1898 2015 2263 2360 2480 2920 3068 3224 3658 3796 3835 4030 4307 4526 4720 4745 5840 6136 6448 7316 7592 7670 8060 8614 9052 9145 9490 11315 12272 14632 15184 15340 16120 17228 18104 18290 18980 21535 22630 23777 29264 29419 30680 32240 34456 36208 36580 37960 43070 45260 47554 55991 58838 61360 68912 73160 75920 86140 90520 95108 111982 117676 118885 133517 146320 147095 172280 181040 190216 223964 235352 237770 267034 279955 294190 344560 380432 447928 470704 475540 534068 559910 588380 667585 895856 951080 1068136 1119820 1176760 1335170 1735721 1902160 2136272 2239640 2353520 2670340 3471442 4479280 5340680 6942884 8678605 10681360 13885768 17357210 27771536 34714420 69428840 138857680
- Sum of all divisors σ(n): 369976320
- Sum of proper divisors (its aliquot sum) s(n): 231118640
- 138857680 is an abundant number, because the sum of its proper divisors (231118640) is greater than itself. Its abundance is 92260960
Bases of 138857680
- Binary: 10000100011011001100110100002
- Hexadecimal: 0x846CCD0
- Base-36: 2AO79S
Squares and roots of 138857680
- 138857680 squared (1388576802) is 19281455294982400
- 138857680 cubed (1388576803) is 2677378149284971704832000
-
The
square root of 138857680 is 11783.7888643679 -
The
cube root of 138857680 is 517.8332921103
Scales and comparisons
How big is 138857680?- 138,857,680 seconds is equal to 4 years, 21 weeks, 4 days, 3 hours, 34 minutes, 40 seconds.
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To count from 1 to 138,857,680 would take you about six 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 138857680 cubic inches would be around 43.2 feet tall.
Recreational maths with 138857680
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