138165120
138,165,120 is an even composite number composed of five prime numbers multiplied together.
138165120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138165120:
27 × 32 × 5 × 172 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 17 × 83)See below for interesting mathematical facts about the number 138165120 from the Numbermatics database.
Names of 138165120
- Cardinal: 138165120 can be written as One hundred thirty-eight million, one hundred sixty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3816512 × 108
Factors of 138165120
Divisors of 138165120
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 64 68 72 80 83 85 90 96 102 120 128 136 144 153 160 166 170 180 192 204 240 249 255 272 288 289 306 320 332 340 360 384 408 415 480 498 510 544 576 578 612 640 664 680 720 747 765 816 830 867 960 996 1020 1088 1152 1156 1224 1245 1328 1360 1411 1440 1445 1494 1530 1632 1660 1734 1920 1992 2040 2176 2312 2448 2490 2601 2656 2720 2822 2880 2890 2988 3060 3264 3320 3468 3735 3984 4080 4233 4335 4624 4896 4980 5202 5312 5440 5644 5760 5780 5976 6120 6528 6640 6936 7055 7470 7968 8160 8466 8670 9248 9792 9960 10404 10624 10880 11288 11560 11952 12240 12699 13005 13280 13872 14110 14940 15936 16320 16932 17340 18496 19584 19920 20808 21165 22576 23120 23904 23987 24480 25398 26010 26560 27744 28220 29880 31872 32640 33864 34680 36992 39840 41616 42330 45152 46240 47808 47974 48960 50796 52020 53120 55488 56440 59760 63495 67728 69360 71961 79680 83232 84660 90304 92480 95616 95948 97920 101592 104040 110976 112880 119520 119935 126990 135456 138720 143922 159360 166464 169320 180608 184960 191896 203184 208080 215883 225760 239040 239870 253980 270912 277440 287844 332928 338640 359805 383792 406368 416160 431766 451520 478080 479740 507960 541824 554880 575688 677280 719610 767584 812736 832320 863532 903040 959480 1015920 1079415 1151376 1354560 1439220 1535168 1625472 1664640 1727064 1918960 2031840 2158830 2302752 2709120 2878440 3070336 3454128 3837920 4063680 4317660 4605504 5756880 6908256 7675840 8127360 8635320 9211008 11513760 13816512 15351680 17270640 23027520 27633024 34541280 46055040 69082560 138165120
- Sum of all divisors σ(n): 512923320
- Sum of proper divisors (its aliquot sum) s(n): 374758200
- 138165120 is an abundant number, because the sum of its proper divisors (374758200) is greater than itself. Its abundance is 236593080
Bases of 138165120
- Binary: 10000011110000111011100000002
- Hexadecimal: 0x83C3B80
- Base-36: 2A9CW0
Squares and roots of 138165120
- 138165120 squared (1381651202) is 19089600384614400
- 138165120 cubed (1381651203) is 2637516927892294729728000
-
The
square root of 138165120 is 11754.3659973645 -
The
cube root of 138165120 is 516.9709499095
Scales and comparisons
How big is 138165120?- 138,165,120 seconds is equal to 4 years, 20 weeks, 3 days, 3 hours, 12 minutes.
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To count from 1 to 138,165,120 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 138165120 cubic inches would be around 43.1 feet tall.
Recreational maths with 138165120
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