142678144
142,678,144 is an even composite number composed of five prime numbers multiplied together.
142678144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 142678144:
27 × 7 × 172 × 19 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 17 × 17 × 19 × 29)See below for interesting mathematical facts about the number 142678144 from the Numbermatics database.
Names of 142678144
- Cardinal: 142678144 can be written as One hundred forty-two million, six hundred seventy-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.42678144 × 108
Factors of 142678144
Divisors of 142678144
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 7 8 14 16 17 19 28 29 32 34 38 56 58 64 68 76 112 116 119 128 133 136 152 203 224 232 238 266 272 289 304 323 406 448 464 476 493 532 544 551 578 608 646 812 896 928 952 986 1064 1088 1102 1156 1216 1292 1624 1856 1904 1972 2023 2128 2176 2204 2261 2312 2432 2584 3248 3451 3712 3808 3857 3944 4046 4256 4408 4522 4624 5168 5491 6496 6902 7616 7714 7888 8092 8381 8512 8816 9044 9248 9367 10336 10982 12992 13804 15232 15428 15776 16184 16762 17024 17632 18088 18496 18734 20672 21964 25984 27608 30856 31552 32368 33524 35264 36176 36992 37468 38437 41344 43928 55216 58667 61712 63104 64736 65569 67048 70528 72352 74936 76874 87856 110432 117334 123424 129472 131138 134096 144704 149872 153748 159239 175712 220864 234668 246848 258944 262276 268192 289408 299744 307496 318478 351424 441728 469336 493696 524552 536384 599488 614992 636956 702848 938672 1049104 1072768 1114673 1198976 1229984 1273912 1877344 2098208 2229346 2459968 2547824 3754688 4196416 4458692 4919936 5095648 7509376 8392832 8917384 10191296 17834768 20382592 35669536 71339072 142678144
- Sum of all divisors σ(n): 375768000
- Sum of proper divisors (its aliquot sum) s(n): 233089856
- 142678144 is an abundant number, because the sum of its proper divisors (233089856) is greater than itself. Its abundance is 90411712
Bases of 142678144
- Binary: 10001000000100011000100000002
- Hexadecimal: 0x8811880
- Base-36: 2CY35S
Squares and roots of 142678144
- 142678144 squared (1426781442) is 20357052775284736
- 142678144 cubed (1426781443) is 2904506507287675204009984
-
The
square root of 142678144 is 11944.7956868253 -
The
cube root of 142678144 is 522.5395301395
Scales and comparisons
How big is 142678144?- 142,678,144 seconds is equal to 4 years, 27 weeks, 6 days, 8 hours, 49 minutes, 4 seconds.
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To count from 1 to 142,678,144 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 142678144 cubic inches would be around 43.5 feet tall.
Recreational maths with 142678144
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