540138688
540,138,688 is an even composite number composed of five prime numbers multiplied together.
540138688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 540138688:
26 × 172 × 19 × 29 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 17 × 17 × 19 × 29 × 53)See below for interesting mathematical facts about the number 540138688 from the Numbermatics database.
Names of 540138688
- Cardinal: 540138688 can be written as Five hundred forty million, one hundred thirty-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 5.40138688 × 108
Factors of 540138688
Divisors of 540138688
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 8 16 17 19 29 32 34 38 53 58 64 68 76 106 116 136 152 212 232 272 289 304 323 424 464 493 544 551 578 608 646 848 901 928 986 1007 1088 1102 1156 1216 1292 1537 1696 1802 1856 1972 2014 2204 2312 2584 3074 3392 3604 3944 4028 4408 4624 5168 5491 6148 7208 7888 8056 8381 8816 9248 9367 10336 10982 12296 14416 15317 15776 16112 16762 17119 17632 18496 18734 20672 21964 24592 26129 28832 29203 30634 31552 32224 33524 34238 35264 37468 43928 49184 52258 57664 58406 61268 64448 67048 68476 74936 87856 98368 104516 116812 122536 134096 136952 149872 159239 175712 209032 233624 245072 268192 273904 291023 299744 318478 351424 418064 444193 467248 490144 496451 536384 547808 582046 599488 636956 836128 888386 934496 980288 992902 1095616 1164092 1273912 1672256 1776772 1868992 1985804 2328184 2547824 3553544 3971608 4656368 5095648 7107088 7943216 8439667 9312736 10191296 14214176 15886432 16879334 18625472 28428352 31772864 33758668 67517336 135034672 270069344 540138688
- Sum of all divisors σ(n): 1263243600
- Sum of proper divisors (its aliquot sum) s(n): 723104912
- 540138688 is an abundant number, because the sum of its proper divisors (723104912) is greater than itself. Its abundance is 182966224
Bases of 540138688
- Binary: 1000000011000111011100110000002
- Hexadecimal: 0x2031DCC0
- Base-36: 8XL1OG
Squares and roots of 540138688
- 540138688 squared (5401386882) is 291749802274361344
- 540138688 cubed (5401386883) is 157585355424732952386076672
-
The
square root of 540138688 is 23240.8839763035 -
The
cube root of 540138688 is 814.3949932983
Scales and comparisons
How big is 540138688?- 540,138,688 seconds is equal to 17 years, 9 weeks, 14 hours, 31 minutes, 28 seconds.
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To count from 1 to 540,138,688 would take you about twenty-five 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 540138688 cubic inches would be around 67.9 feet tall.
Recreational maths with 540138688
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