468329940
468,329,940 is an even composite number composed of seven prime numbers multiplied together.
468329940 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 468329940:
22 × 32 × 5 × 13 × 17 × 61 × 193
(2 × 2 × 3 × 3 × 5 × 13 × 17 × 61 × 193)See below for interesting mathematical facts about the number 468329940 from the Numbermatics database.
Names of 468329940
- Cardinal: 468329940 can be written as Four hundred sixty-eight million, three hundred twenty-nine thousand, nine hundred forty.
Scientific notation
- Scientific notation: 4.6832994 × 108
Factors of 468329940
Divisors of 468329940
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 61 65 68 78 85 90 102 117 122 130 153 156 170 180 183 193 195 204 221 234 244 255 260 305 306 340 366 386 390 442 468 510 549 579 585 610 612 663 732 765 772 780 793 884 915 965 1020 1037 1098 1105 1158 1170 1220 1326 1530 1586 1737 1830 1930 1989 2074 2196 2210 2316 2340 2379 2509 2652 2745 2895 3060 3111 3172 3281 3315 3474 3660 3860 3965 3978 4148 4420 4758 5018 5185 5490 5790 6222 6562 6630 6948 7137 7527 7930 7956 8685 9333 9516 9843 9945 10036 10370 10980 11580 11773 11895 12444 12545 13124 13260 13481 14274 15054 15555 15860 16405 17370 18666 19686 19890 20740 22581 23546 23790 25090 26962 28548 29529 30108 31110 32810 34740 35319 35685 37332 37635 39372 39780 40443 42653 45162 46665 47092 47580 49215 50180 53924 58865 59058 62220 65620 67405 70638 71370 75270 80886 85306 90324 93330 98430 105957 112905 117730 118116 121329 127959 134810 141276 142740 147645 150540 153049 161772 170612 176595 186660 196860 200141 202215 211914 213265 225810 235460 242658 255918 269620 295290 306098 353190 383877 400282 404430 423828 426530 451620 459147 485316 511836 529785 590580 600423 606645 612196 639795 706380 765245 767754 800564 808860 853060 918294 1000705 1059570 1200846 1213290 1279590 1377441 1530490 1535508 1801269 1836588 1919385 2001410 2119140 2295735 2401692 2426580 2559180 2601833 2754882 3002115 3060980 3602538 3838770 4002820 4591470 5203666 5509764 6004230 6887205 7205076 7677540 7805499 9006345 9182940 10407332 12008460 13009165 13774410 15610998 18012690 23416497 26018330 27548820 31221996 36025380 39027495 46832994 52036660 78054990 93665988 117082485 156109980 234164970 468329940
- Sum of all divisors σ(n): 1654956576
- Sum of proper divisors (its aliquot sum) s(n): 1186626636
- 468329940 is an abundant number, because the sum of its proper divisors (1186626636) is greater than itself. Its abundance is 718296696
Bases of 468329940
- Binary: 110111110101000100101110101002
- Hexadecimal: 0x1BEA25D4
- Base-36: 7QTXP0
Squares and roots of 468329940
- 468329940 squared (4683299402) is 219332932700403600
- 468329940 cubed (4683299403) is 102720179211604055963784000
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The
square root of 468329940 is 21640.9320501681 -
The
cube root of 468329940 is 776.5760173039
Scales and comparisons
How big is 468329940?- 468,329,940 seconds is equal to 14 years, 46 weeks, 2 days, 11 hours, 39 minutes.
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To count from 1 to 468,329,940 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 468329940 cubic inches would be around 64.7 feet tall.
Recreational maths with 468329940
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