138253440
138,253,440 is an even composite number composed of six prime numbers multiplied together.
138253440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138253440:
27 × 3 × 5 × 13 × 29 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 29 × 191)See below for interesting mathematical facts about the number 138253440 from the Numbermatics database.
Names of 138253440
- Cardinal: 138253440 can be written as One hundred thirty-eight million, two hundred fifty-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3825344 × 108
Factors of 138253440
Divisors of 138253440
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 32 39 40 48 52 58 60 64 65 78 80 87 96 104 116 120 128 130 145 156 160 174 191 192 195 208 232 240 260 290 312 320 348 377 382 384 390 416 435 464 480 520 573 580 624 640 696 754 764 780 832 870 928 955 960 1040 1131 1146 1160 1248 1392 1508 1528 1560 1664 1740 1856 1885 1910 1920 2080 2262 2292 2320 2483 2496 2784 2865 3016 3056 3120 3480 3712 3770 3820 4160 4524 4584 4640 4966 4992 5539 5568 5655 5730 6032 6112 6240 6960 7449 7540 7640 8320 9048 9168 9280 9932 11078 11136 11310 11460 12064 12224 12415 12480 13920 14898 15080 15280 16617 18096 18336 18560 19864 22156 22620 22920 24128 24448 24830 24960 27695 27840 29796 30160 30560 33234 36192 36672 37245 39728 44312 45240 45840 48256 49660 55390 55680 59592 60320 61120 66468 72007 72384 73344 74490 79456 83085 88624 90480 91680 99320 110780 119184 120640 122240 132936 144014 144768 148980 158912 166170 177248 180960 183360 198640 216021 221560 238368 241280 265872 288028 297960 317824 332340 354496 360035 361920 366720 397280 432042 443120 476736 531744 576056 595920 664680 708992 720070 723840 794560 864084 886240 953472 1063488 1080105 1152112 1191840 1329360 1440140 1589120 1728168 1772480 2126976 2160210 2304224 2383680 2658720 2880280 3456336 3544960 4320420 4608448 4767360 5317440 5760560 6912672 8640840 9216896 10634880 11521120 13825344 17281680 23042240 27650688 34563360 46084480 69126720 138253440
- Sum of all divisors σ(n): 493516800
- Sum of proper divisors (its aliquot sum) s(n): 355263360
- 138253440 is an abundant number, because the sum of its proper divisors (355263360) is greater than itself. Its abundance is 217009920
Bases of 138253440
- Binary: 10000011110110010100100000002
- Hexadecimal: 0x83D9480
- Base-36: 2AB91C
Squares and roots of 138253440
- 138253440 squared (1382534402) is 19114013671833600
- 138253440 cubed (1382534403) is 2642578142338026307584000
-
The
square root of 138253440 is 11758.1222990751 -
The
cube root of 138253440 is 517.0810817789
Scales and comparisons
How big is 138253440?- 138,253,440 seconds is equal to 4 years, 20 weeks, 4 days, 3 hours, 44 minutes.
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To count from 1 to 138,253,440 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 138253440 cubic inches would be around 43.1 feet tall.
Recreational maths with 138253440
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