138664960
138,664,960 is an even composite number composed of five prime numbers multiplied together.
138664960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 138664960:
210 × 5 × 7 × 53 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 53 × 73)See below for interesting mathematical facts about the number 138664960 from the Numbermatics database.
Names of 138664960
- Cardinal: 138664960 can be written as One hundred thirty-eight million, six hundred sixty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3866496 × 108
Factors of 138664960
Divisors of 138664960
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 73 80 106 112 128 140 146 160 212 224 256 265 280 292 320 365 371 424 448 511 512 530 560 584 640 730 742 848 896 1022 1024 1060 1120 1168 1280 1460 1484 1696 1792 1855 2044 2120 2240 2336 2555 2560 2920 2968 3392 3584 3710 3869 4088 4240 4480 4672 5110 5120 5840 5936 6784 7168 7420 7738 8176 8480 8960 9344 10220 11680 11872 13568 14840 15476 16352 16960 17920 18688 19345 20440 23360 23744 27083 27136 29680 30952 32704 33920 35840 37376 38690 40880 46720 47488 54166 54272 59360 61904 65408 67840 74752 77380 81760 93440 94976 108332 118720 123808 130816 135415 135680 154760 163520 186880 189952 216664 237440 247616 261632 270830 271360 309520 327040 373760 379904 433328 474880 495232 523264 541660 619040 654080 866656 949760 990464 1083320 1238080 1308160 1733312 1899520 1980928 2166640 2476160 2616320 3466624 3961856 4333280 4952320 6933248 8666560 9904640 13866496 17333120 19809280 27732992 34666240 69332480 138664960
- Sum of all divisors σ(n): 392630976
- Sum of proper divisors (its aliquot sum) s(n): 253966016
- 138664960 is an abundant number, because the sum of its proper divisors (253966016) is greater than itself. Its abundance is 115301056
Bases of 138664960
- Binary: 10000100001111011100000000002
- Hexadecimal: 0x843DC00
- Base-36: 2AK2KG
Squares and roots of 138664960
- 138664960 squared (1386649602) is 19227971131801600
- 138664960 cubed (1386649603) is 2666245847872423591936000
-
The
square root of 138664960 is 11775.6086891507 -
The
cube root of 138664960 is 517.5936149651
Scales and comparisons
How big is 138664960?- 138,664,960 seconds is equal to 4 years, 21 weeks, 1 day, 22 hours, 2 minutes, 40 seconds.
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To count from 1 to 138,664,960 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 138664960 cubic inches would be around 43.1 feet tall.
Recreational maths with 138664960
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