468348972
468,348,972 is an even composite number composed of seven prime numbers multiplied together.
468348972 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 468348972:
22 × 3 × 7 × 13 × 61 × 79 × 89
(2 × 2 × 3 × 7 × 13 × 61 × 79 × 89)See below for interesting mathematical facts about the number 468348972 from the Numbermatics database.
Names of 468348972
- Cardinal: 468348972 can be written as Four hundred sixty-eight million, three hundred forty-eight thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 4.68348972 × 108
Factors of 468348972
Divisors of 468348972
- 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 39 42 52 61 78 79 84 89 91 122 156 158 178 182 183 237 244 267 273 316 356 364 366 427 474 534 546 553 623 732 793 854 948 1027 1068 1092 1106 1157 1246 1281 1586 1659 1708 1869 2054 2212 2314 2379 2492 2562 3081 3172 3318 3471 3738 4108 4628 4758 4819 5124 5429 5551 6162 6636 6942 7031 7189 7476 8099 9516 9638 10858 11102 12324 13884 14062 14378 14457 16198 16287 16653 19276 21093 21567 21716 22204 24297 28124 28756 28914 32396 32574 33306 33733 38003 42186 43134 48594 49217 57828 62647 65148 66612 67466 70577 76006 84372 86268 91403 97188 98434 101199 114009 125294 134932 141154 147651 152012 182806 187941 196868 202398 211731 228018 250588 274209 282308 295302 365612 375882 404796 423462 428891 438529 456036 494039 548418 590604 639821 751764 846924 857782 877058 988078 1096836 1279642 1286673 1315587 1482117 1715564 1754116 1919463 1976156 2559284 2573346 2631174 2964234 3002237 3838926 5146692 5262348 5575583 5928468 6004474 7677852 9006711 11151166 12008948 16726749 18013422 22302332 33453498 36026844 39029081 66906996 78058162 117087243 156116324 234174486 468348972
- Sum of all divisors σ(n): 1399910400
- Sum of proper divisors (its aliquot sum) s(n): 931561428
- 468348972 is an abundant number, because the sum of its proper divisors (931561428) is greater than itself. Its abundance is 463212456
Bases of 468348972
- Binary: 110111110101001110000001011002
- Hexadecimal: 0x1BEA702C
- Base-36: 7QUCDO
Squares and roots of 468348972
- 468348972 squared (4683489722) is 219350759573456784
- 468348972 cubed (4683489723) is 102732702753647643272826048
-
The
square root of 468348972 is 21641.3717679819 -
The
cube root of 468348972 is 776.5865366643
Scales and comparisons
How big is 468348972?- 468,348,972 seconds is equal to 14 years, 46 weeks, 2 days, 16 hours, 56 minutes, 12 seconds.
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To count from 1 to 468,348,972 would take you about twenty-two 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 468348972 cubic inches would be around 64.7 feet tall.
Recreational maths with 468348972
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