138956800
138,956,800 is an even composite number composed of four prime numbers multiplied together.
138956800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred fifty-six divisors.
Prime factorization of 138956800:
212 × 52 × 23 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 59)See below for interesting mathematical facts about the number 138956800 from the Numbermatics database.
Names of 138956800
- Cardinal: 138956800 can be written as One hundred thirty-eight million, nine hundred fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.389568 × 108
Factors of 138956800
Divisors of 138956800
- Number of divisors d(n): 156
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Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 46 50 59 64 80 92 100 115 118 128 160 184 200 230 236 256 295 320 368 400 460 472 512 575 590 640 736 800 920 944 1024 1150 1180 1280 1357 1472 1475 1600 1840 1888 2048 2300 2360 2560 2714 2944 2950 3200 3680 3776 4096 4600 4720 5120 5428 5888 5900 6400 6785 7360 7552 9200 9440 10240 10856 11776 11800 12800 13570 14720 15104 18400 18880 20480 21712 23552 23600 25600 27140 29440 30208 33925 36800 37760 43424 47104 47200 51200 54280 58880 60416 67850 73600 75520 86848 94208 94400 102400 108560 117760 120832 135700 147200 151040 173696 188800 217120 235520 241664 271400 294400 302080 347392 377600 434240 471040 542800 588800 604160 694784 755200 868480 1085600 1177600 1208320 1389568 1510400 1736960 2171200 2355200 2779136 3020800 3473920 4342400 5558272 6041600 6947840 8684800 13895680 17369600 27791360 34739200 69478400 138956800
- Sum of all divisors σ(n): 365646240
- Sum of proper divisors (its aliquot sum) s(n): 226689440
- 138956800 is an abundant number, because the sum of its proper divisors (226689440) is greater than itself. Its abundance is 87732640
Bases of 138956800
- Binary: 10000100100001010000000000002
- Hexadecimal: 0x8485000
- Base-36: 2AQBR4
Squares and roots of 138956800
- 138956800 squared (1389568002) is 19308992266240000
- 138956800 cubed (1389568003) is 2683115776541458432000000
-
The
square root of 138956800 is 11787.9938920921 -
The
cube root of 138956800 is 517.9564768171
Scales and comparisons
How big is 138956800?- 138,956,800 seconds is equal to 4 years, 21 weeks, 5 days, 7 hours, 6 minutes, 40 seconds.
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To count from 1 to 138,956,800 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 138956800 cubic inches would be around 43.2 feet tall.
Recreational maths with 138956800
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