442140972
442,140,972 is an even composite number composed of seven prime numbers multiplied together.
442140972 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 442140972:
22 × 3 × 7 × 13 × 31 × 37 × 353
(2 × 2 × 3 × 7 × 13 × 31 × 37 × 353)See below for interesting mathematical facts about the number 442140972 from the Numbermatics database.
Names of 442140972
- Cardinal: 442140972 can be written as Four hundred forty-two million, one hundred forty thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 4.42140972 × 108
Factors of 442140972
Divisors of 442140972
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 12 13 14 21 26 28 31 37 39 42 52 62 74 78 84 91 93 111 124 148 156 182 186 217 222 259 273 353 364 372 403 434 444 481 518 546 651 706 777 806 868 962 1036 1059 1092 1147 1209 1302 1412 1443 1554 1612 1924 2118 2294 2418 2471 2604 2821 2886 3108 3367 3441 4236 4588 4589 4836 4942 5642 5772 6734 6882 7413 8029 8463 9178 9884 10101 10943 11284 13061 13468 13764 13767 14826 14911 16058 16926 18356 20202 21886 24087 26122 27534 29652 29822 32116 32123 32829 33852 39183 40404 43772 44733 48174 52244 55068 59644 64246 65658 76601 78366 89466 91427 96348 96369 104377 128492 131316 142259 153202 156732 169793 178932 182854 192738 208754 229803 274281 284518 306404 313131 339586 365708 385476 404891 417508 426777 459606 509379 548562 569036 626262 679172 809782 853554 919212 995813 1018758 1097124 1188551 1214673 1252524 1619564 1707108 1991626 2037516 2377102 2429346 2834237 2987439 3565653 3983252 4754204 4858692 5263583 5668474 5974878 7131306 8502711 10527166 11336948 11949756 14262612 15790749 17005422 21054332 31581498 34010844 36845081 63162996 73690162 110535243 147380324 221070486 442140972
- Sum of all divisors σ(n): 1349935104
- Sum of proper divisors (its aliquot sum) s(n): 907794132
- 442140972 is an abundant number, because the sum of its proper divisors (907794132) is greater than itself. Its abundance is 465653160
Bases of 442140972
- Binary: 110100101101010001001001011002
- Hexadecimal: 0x1A5A892C
- Base-36: 7B8M5O
Squares and roots of 442140972
- 442140972 squared (4421409722) is 195488639121104784
- 442140972 cubed (4421409723) is 86433536915962494911610048
-
The
square root of 442140972 is 21027.1484514661 -
The
cube root of 442140972 is 761.8221352419
Scales and comparisons
How big is 442140972?- 442,140,972 seconds is equal to 14 years, 3 weeks, 8 hours, 56 minutes, 12 seconds.
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To count from 1 to 442,140,972 would take you about twenty-one 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 442140972 cubic inches would be around 63.5 feet tall.
Recreational maths with 442140972
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