507142272
507,142,272 is an even composite number composed of six prime numbers multiplied together.
507142272 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 507142272:
27 × 3 × 7 × 13 × 23 × 631
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 23 × 631)See below for interesting mathematical facts about the number 507142272 from the Numbermatics database.
Names of 507142272
- Cardinal: 507142272 can be written as Five hundred seven million, one hundred forty-two thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 5.07142272 × 108
Factors of 507142272
Divisors of 507142272
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 32 39 42 46 48 52 56 64 69 78 84 91 92 96 104 112 128 138 156 161 168 182 184 192 208 224 273 276 299 312 322 336 364 368 384 416 448 483 546 552 598 624 631 644 672 728 736 832 896 897 966 1092 1104 1196 1248 1262 1288 1344 1456 1472 1664 1794 1893 1932 2093 2184 2208 2392 2496 2524 2576 2688 2912 2944 3588 3786 3864 4186 4368 4416 4417 4784 4992 5048 5152 5824 6279 7176 7572 7728 8203 8372 8736 8832 8834 9568 10096 10304 11648 12558 13251 14352 14513 15144 15456 16406 16744 17472 17668 19136 20192 20608 24609 25116 26502 28704 29026 30288 30912 32812 33488 34944 35336 38272 40384 43539 49218 50232 53004 57408 57421 58052 60576 61824 65624 66976 70672 80768 87078 98436 100464 101591 106008 114816 114842 116104 121152 131248 133952 141344 172263 174156 188669 196872 200928 203182 212016 229684 232208 242304 262496 267904 282688 304773 344526 348312 377338 393744 401856 406364 424032 459368 464416 524992 565376 566007 609546 689052 696624 754676 787488 803712 812728 848064 918736 928832 1049984 1132014 1219092 1320683 1378104 1393248 1509352 1574976 1625456 1696128 1837472 1857664 2264028 2438184 2641366 2756208 2786496 3018704 3149952 3250912 3674944 3962049 4528056 4876368 5282732 5512416 5572992 6037408 6501824 7349888 7924098 9056112 9752736 10565464 11024832 12074816 13003648 15848196 18112224 19505472 21130928 22049664 24149632 31696392 36224448 39010944 42261856 63392784 72448896 84523712 126785568 169047424 253571136 507142272
- Sum of all divisors σ(n): 1732792320
- Sum of proper divisors (its aliquot sum) s(n): 1225650048
- 507142272 is an abundant number, because the sum of its proper divisors (1225650048) is greater than itself. Its abundance is 718507776
Bases of 507142272
- Binary: 111100011101001100000100000002
- Hexadecimal: 0x1E3A6080
- Base-36: 8DXTHC
Squares and roots of 507142272
- 507142272 squared (5071422722) is 257193284049321984
- 507142272 cubed (5071422723) is 130433586415914511025307648
-
The
square root of 507142272 is 22519.8195374653 -
The
cube root of 507142272 is 797.4618893421
Scales and comparisons
How big is 507142272?- 507,142,272 seconds is equal to 16 years, 6 weeks, 3 days, 16 hours, 51 minutes, 12 seconds.
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To count from 1 to 507,142,272 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 507142272 cubic inches would be around 66.5 feet tall.
Recreational maths with 507142272
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