413213472
413,213,472 is an even composite number composed of five prime numbers multiplied together.
413213472 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 413213472:
25 × 32 × 73 × 47 × 89
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 47 × 89)See below for interesting mathematical facts about the number 413213472 from the Numbermatics database.
Names of 413213472
- Cardinal: 413213472 can be written as Four hundred thirteen million, two hundred thirteen thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 4.13213472 × 108
Factors of 413213472
Divisors of 413213472
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 49 56 63 72 84 89 94 96 98 112 126 141 144 147 168 178 188 196 224 252 267 282 288 294 329 336 343 356 376 392 423 441 504 534 564 588 623 658 672 686 712 752 784 801 846 882 987 1008 1029 1068 1128 1176 1246 1316 1372 1424 1504 1568 1602 1692 1764 1869 1974 2016 2058 2136 2256 2303 2352 2492 2632 2744 2848 2961 3087 3204 3384 3528 3738 3948 4116 4183 4272 4361 4512 4606 4704 4984 5264 5488 5607 5922 6174 6408 6768 6909 7056 7476 7896 8232 8366 8544 8722 9212 9968 10528 10976 11214 11844 12348 12549 12816 13083 13536 13818 14112 14952 15792 16121 16464 16732 17444 18424 19936 20727 22428 23688 24696 25098 25632 26166 27636 29281 29904 30527 31584 32242 32928 33464 34888 36848 37647 39249 41454 44856 47376 48363 49392 50196 52332 55272 58562 59808 61054 64484 66928 69776 73696 75294 78498 82908 87843 89712 91581 94752 96726 98784 100392 104664 110544 117124 122108 128968 133856 139552 145089 150588 156996 165816 175686 179424 183162 193452 200784 204967 209328 221088 234248 244216 257936 263529 274743 290178 301176 313992 331632 351372 366324 386904 401568 409934 418656 468496 488432 515872 527058 549486 580356 602352 614901 627984 663264 702744 732648 773808 819868 936992 976864 1054116 1098972 1160712 1204704 1229802 1255968 1405488 1434769 1465296 1547616 1639736 1844703 2108232 2197944 2321424 2459604 2810976 2869538 2930592 3279472 3689406 4216464 4304307 4395888 4642848 4919208 5739076 6558944 7378812 8432928 8608614 8791776 9838416 11478152 12912921 14757624 17217228 19676832 22956304 25825842 29515248 34434456 45912608 51651684 59030496 68868912 103303368 137737824 206606736 413213472
- Sum of all divisors σ(n): 1415232000
- Sum of proper divisors (its aliquot sum) s(n): 1002018528
- 413213472 is an abundant number, because the sum of its proper divisors (1002018528) is greater than itself. Its abundance is 588805056
Bases of 413213472
- Binary: 110001010000100100011001000002
- Hexadecimal: 0x18A12320
- Base-36: 6U0LK0
Squares and roots of 413213472
- 413213472 squared (4132134722) is 170745373442294784
- 413213472 cubed (4132134723) is 70554288588027219344130048
-
The
square root of 413213472 is 20327.6528895985 -
The
cube root of 413213472 is 744.8317095061
Scales and comparisons
How big is 413213472?- 413,213,472 seconds is equal to 13 years, 7 weeks, 1 day, 13 hours, 31 minutes, 12 seconds.
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To count from 1 to 413,213,472 would take you about nineteen 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 413213472 cubic inches would be around 62.1 feet tall.
Recreational maths with 413213472
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