138134880
138,134,880 is an even composite number composed of six prime numbers multiplied together.
138134880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138134880:
25 × 32 × 5 × 13 × 47 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 47 × 157)See below for interesting mathematical facts about the number 138134880 from the Numbermatics database.
Names of 138134880
- Cardinal: 138134880 can be written as One hundred thirty-eight million, one hundred thirty-four thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3813488 × 108
Factors of 138134880
Divisors of 138134880
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 47 48 52 60 65 72 78 80 90 94 96 104 117 120 130 141 144 156 157 160 180 188 195 208 234 235 240 260 282 288 312 314 360 376 390 416 423 468 470 471 480 520 564 585 611 624 628 705 720 752 780 785 846 936 940 942 1040 1128 1170 1222 1248 1256 1410 1413 1440 1504 1560 1570 1692 1833 1872 1880 1884 2041 2080 2115 2256 2340 2355 2444 2512 2820 2826 3055 3120 3140 3384 3666 3744 3760 3768 4082 4230 4512 4680 4710 4888 5024 5499 5640 5652 6110 6123 6240 6280 6768 7065 7332 7379 7520 7536 8164 8460 9165 9360 9420 9776 10205 10998 11280 11304 12220 12246 12560 13536 14130 14664 14758 15072 16328 16920 18330 18369 18720 18840 19552 20410 21996 22137 22560 22608 24440 24492 25120 27495 28260 29328 29516 30615 32656 33840 36660 36738 36895 37680 40820 43992 44274 45216 48880 48984 54990 56520 58656 59032 61230 65312 66411 67680 73320 73476 73790 75360 81640 87984 88548 91845 95927 97760 97968 109980 110685 113040 118064 122460 132822 146640 146952 147580 163280 175968 177096 183690 191854 195936 219960 221370 226080 236128 244920 265644 287781 293280 293904 295160 326560 332055 354192 367380 383708 439920 442740 479635 489840 531288 575562 587808 590320 664110 708384 734760 767416 863343 879840 885480 959270 979680 1062576 1151124 1180640 1328220 1438905 1469520 1534832 1726686 1770960 1918540 2125152 2302248 2656440 2877810 2939040 3069664 3453372 3541920 3837080 4316715 4604496 5312880 5755620 6906744 7674160 8633430 9208992 10625760 11511240 13813488 15348320 17266860 23022480 27626976 34533720 46044960 69067440 138134880
- Sum of all divisors σ(n): 521748864
- Sum of proper divisors (its aliquot sum) s(n): 383613984
- 138134880 is an abundant number, because the sum of its proper divisors (383613984) is greater than itself. Its abundance is 245479104
Bases of 138134880
- Binary: 10000011101111000101011000002
- Hexadecimal: 0x83BC560
- Base-36: 2A8PK0
Squares and roots of 138134880
- 138134880 squared (1381348802) is 19081245072614400
- 138134880 cubed (1381348803) is 2635785498356181430272000
-
The
square root of 138134880 is 11753.0795964291 -
The
cube root of 138134880 is 516.9332309295
Scales and comparisons
How big is 138134880?- 138,134,880 seconds is equal to 4 years, 20 weeks, 2 days, 18 hours, 48 minutes.
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To count from 1 to 138,134,880 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 138134880 cubic inches would be around 43.1 feet tall.
Recreational maths with 138134880
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