506412972
506,412,972 is an even composite number composed of five prime numbers multiplied together.
506412972 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 506412972:
22 × 37 × 13 × 61 × 73
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 61 × 73)See below for interesting mathematical facts about the number 506412972 from the Numbermatics database.
Names of 506412972
- Cardinal: 506412972 can be written as Five hundred six million, four hundred twelve thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 5.06412972 × 108
Factors of 506412972
Divisors of 506412972
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 73 78 81 108 117 122 146 156 162 183 219 234 243 244 292 324 351 366 438 468 486 549 657 702 729 732 793 876 949 972 1053 1098 1314 1404 1458 1586 1647 1898 1971 2106 2187 2196 2379 2628 2847 2916 3159 3172 3294 3796 3942 4212 4374 4453 4758 4941 5694 5913 6318 6588 7137 7884 8541 8748 8906 9477 9516 9882 11388 11826 12636 13359 14274 14823 17082 17739 17812 18954 19764 21411 23652 25623 26718 28431 28548 29646 34164 35478 37908 40077 42822 44469 51246 53217 53436 56862 57889 59292 64233 70956 76869 80154 85644 88938 102492 106434 113724 115778 120231 128466 133407 153738 159651 160308 173667 177876 192699 212868 230607 231556 240462 256932 266814 307476 319302 347334 360693 385398 461214 480924 521001 533628 578097 638604 691821 694668 721386 770796 922428 1042002 1082079 1156194 1383642 1442772 1563003 1734291 2075463 2084004 2164158 2312388 2767284 3126006 3246237 3468582 4150926 4328316 4689009 6252012 6492474 6937164 8301852 9378018 9738711 12984948 14067027 18756036 19477422 28134054 38954844 42201081 56268108 84402162 126603243 168804324 253206486 506412972
- Sum of all divisors σ(n): 1474766720
- Sum of proper divisors (its aliquot sum) s(n): 968353748
- 506412972 is an abundant number, because the sum of its proper divisors (968353748) is greater than itself. Its abundance is 461940776
Bases of 506412972
- Binary: 111100010111100111111101011002
- Hexadecimal: 0x1E2F3FAC
- Base-36: 8DI6R0
Squares and roots of 506412972
- 506412972 squared (5064129722) is 256454098209872784
- 506412972 cubed (5064129723) is 129871682056041556287354048
-
The
square root of 506412972 is 22503.6213085805 -
The
cube root of 506412972 is 797.0794404731
Scales and comparisons
How big is 506412972?- 506,412,972 seconds is equal to 16 years, 5 weeks, 2 days, 6 hours, 16 minutes, 12 seconds.
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To count from 1 to 506,412,972 would take you about twenty-four 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 506412972 cubic inches would be around 66.4 feet tall.
Recreational maths with 506412972
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Keywords: Divisors of 506412972, math, Factors of 506412972, curriculum, school, college, exams, university, Prime factorization of 506412972, STEM, science, technology, engineering, physics, economics, calculator, five hundred six million, four hundred twelve thousand, nine hundred seventy-two.