138081440
138,081,440 is an even composite number composed of six prime numbers multiplied together.
138081440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138081440:
25 × 5 × 7 × 31 × 41 × 97
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 31 × 41 × 97)See below for interesting mathematical facts about the number 138081440 from the Numbermatics database.
Names of 138081440
- Cardinal: 138081440 can be written as One hundred thirty-eight million, eighty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3808144 × 108
Factors of 138081440
Divisors of 138081440
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 41 56 62 70 80 82 97 112 124 140 155 160 164 194 205 217 224 248 280 287 310 328 388 410 434 485 496 560 574 620 656 679 776 820 868 970 992 1085 1120 1148 1240 1271 1312 1358 1435 1552 1640 1736 1940 2170 2296 2480 2542 2716 2870 3007 3104 3280 3395 3472 3880 3977 4340 4592 4960 5084 5432 5740 6014 6355 6560 6790 6944 7760 7954 8680 8897 9184 10168 10864 11480 12028 12710 13580 15035 15520 15908 17360 17794 19885 20336 21049 21728 22960 24056 25420 27160 27839 30070 31816 34720 35588 39770 40672 42098 44485 45920 48112 50840 54320 55678 60140 63632 71176 79540 84196 88970 96224 101680 105245 108640 111356 120280 123287 127264 139195 142352 159080 168392 177940 203360 210490 222712 240560 246574 278390 284704 318160 336784 355880 420980 445424 481120 493148 556780 616435 636320 673568 711760 841960 863009 890848 986296 1113560 1232870 1423520 1683920 1726018 1972592 2227120 2465740 3367840 3452036 3945184 4315045 4454240 4931480 6904072 8630090 9862960 13808144 17260180 19725920 27616288 34520360 69040720 138081440
- Sum of all divisors σ(n): 398297088
- Sum of proper divisors (its aliquot sum) s(n): 260215648
- 138081440 is an abundant number, because the sum of its proper divisors (260215648) is greater than itself. Its abundance is 122134208
Bases of 138081440
- Binary: 10000011101011110100101000002
- Hexadecimal: 0x83AF4A0
- Base-36: 2A7KBK
Squares and roots of 138081440
- 138081440 squared (1380814402) is 19066484072473600
- 138081440 cubed (1380814403) is 2632727576464219049984000
-
The
square root of 138081440 is 11750.8059298075 -
The
cube root of 138081440 is 516.8665606455
Scales and comparisons
How big is 138081440?- 138,081,440 seconds is equal to 4 years, 20 weeks, 2 days, 3 hours, 57 minutes, 20 seconds.
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To count from 1 to 138,081,440 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 138081440 cubic inches would be around 43.1 feet tall.
Recreational maths with 138081440
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