468493480
468,493,480 is an even composite number composed of seven prime numbers multiplied together.
468493480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 468493480:
23 × 5 × 7 × 13 × 17 × 67 × 113
(2 × 2 × 2 × 5 × 7 × 13 × 17 × 67 × 113)See below for interesting mathematical facts about the number 468493480 from the Numbermatics database.
Names of 468493480
- Cardinal: 468493480 can be written as Four hundred sixty-eight million, four hundred ninety-three thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.6849348 × 108
Factors of 468493480
Divisors of 468493480
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 67 68 70 85 91 104 113 119 130 134 136 140 170 182 221 226 238 260 268 280 335 340 364 442 452 455 469 476 520 536 565 595 670 680 728 791 871 884 904 910 938 952 1105 1130 1139 1190 1340 1469 1547 1582 1742 1768 1820 1876 1921 2210 2260 2278 2345 2380 2680 2938 3094 3164 3484 3640 3752 3842 3955 4355 4420 4520 4556 4690 4760 5695 5876 6097 6188 6328 6968 7345 7571 7684 7735 7910 7973 8710 8840 9112 9380 9605 10283 11390 11752 12194 12376 13447 14690 14807 15142 15368 15470 15820 15946 17420 18760 19210 20566 22780 24388 24973 26894 29380 29614 30284 30485 30940 31640 31892 34840 37855 38420 39865 41132 45560 48776 49946 51415 52997 53788 58760 59228 60568 60970 61880 63784 67235 74035 75710 76840 79730 82264 98423 99892 102830 103649 105994 107576 118456 121940 124865 128707 134470 148070 151420 159460 174811 196846 199784 205660 207298 211988 243880 249730 257414 264985 268940 296140 302840 318920 349622 393692 411320 414596 423976 492115 499460 514828 518245 529970 537880 592280 643535 688961 699244 787384 829192 874055 900949 984230 998920 1029656 1036490 1059940 1287070 1377922 1398488 1673191 1748110 1801898 1968460 2072980 2119880 2574140 2755844 3346382 3444805 3496220 3603796 3936920 4145960 4504745 5148280 5511688 6692764 6889610 6992440 7207592 8365955 9009490 11712337 13385528 13779220 16731910 18018980 23424674 27558440 33463820 36037960 46849348 58561685 66927640 93698696 117123370 234246740 468493480
- Sum of all divisors σ(n): 1406522880
- Sum of proper divisors (its aliquot sum) s(n): 938029400
- 468493480 is an abundant number, because the sum of its proper divisors (938029400) is greater than itself. Its abundance is 469535920
Bases of 468493480
- Binary: 110111110110010100100101010002
- Hexadecimal: 0x1BECA4A8
- Base-36: 7QXFVS
Squares and roots of 468493480
- 468493480 squared (4684934802) is 219486140802510400
- 468493480 cubed (4684934803) is 102827825916338090032192000
-
The
square root of 468493480 is 21644.7102082703 -
The
cube root of 468493480 is 776.6663997821
Scales and comparisons
How big is 468493480?- 468,493,480 seconds is equal to 14 years, 46 weeks, 4 days, 9 hours, 4 minutes, 40 seconds.
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To count from 1 to 468,493,480 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 468493480 cubic inches would be around 64.7 feet tall.
Recreational maths with 468493480
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