713142144
713,142,144 is an even composite number composed of five prime numbers multiplied together.
713142144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 713142144:
27 × 34 × 11 × 132 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 13 × 13 × 37)See below for interesting mathematical facts about the number 713142144 from the Numbermatics database.
Names of 713142144
- Cardinal: 713142144 can be written as Seven hundred thirteen million, one hundred forty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 7.13142144 × 108
Factors of 713142144
Divisors of 713142144
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 37 39 44 48 52 54 64 66 72 74 78 81 88 96 99 104 108 111 117 128 132 143 144 148 156 162 169 176 192 198 208 216 222 234 264 286 288 296 297 312 324 333 338 351 352 384 396 407 416 429 432 444 468 481 507 528 572 576 592 594 624 648 666 676 702 704 792 814 832 858 864 888 891 936 962 999 1014 1053 1056 1144 1152 1184 1188 1221 1248 1287 1296 1332 1352 1404 1408 1443 1521 1584 1628 1664 1716 1728 1776 1782 1859 1872 1924 1998 2028 2106 2112 2288 2368 2376 2442 2496 2574 2592 2664 2704 2808 2886 2997 3042 3168 3256 3432 3456 3552 3564 3663 3718 3744 3848 3861 3996 4056 4212 4224 4329 4563 4576 4736 4752 4884 4992 5148 5184 5291 5328 5408 5577 5616 5772 5994 6084 6253 6336 6512 6864 7104 7128 7326 7436 7488 7696 7722 7992 8112 8424 8658 9126 9152 9504 9768 10296 10368 10582 10656 10816 10989 11154 11232 11544 11583 11988 12168 12506 12672 12987 13024 13689 13728 14208 14256 14652 14872 14976 15392 15444 15873 15984 16224 16731 16848 17316 18252 18304 18759 19008 19536 20592 21164 21312 21632 21978 22308 22464 23088 23166 23976 24336 25012 25974 26048 27378 27456 28512 29304 29744 30784 30888 31746 31968 32448 32967 33462 33696 34632 36504 37518 38016 38961 39072 41184 42328 42624 43956 44616 44928 46176 46332 47619 47952 48672 50024 50193 51948 52096 54756 54912 56277 57024 58608 59488 61568 61776 63492 63936 64896 65934 66924 67392 68783 69264 73008 75036 77922 78144 82368 84656 87912 89232 92352 92664 95238 95904 97344 100048 100386 103896 109512 112554 114048 117216 118976 123552 126984 127872 131868 133848 134784 137566 138528 142857 146016 150072 150579 155844 156288 164736 168831 169312 175824 178464 184704 185328 190476 191808 194688 200096 200772 206349 207792 219024 225108 234432 237952 247104 253968 263736 267696 275132 277056 285714 292032 300144 301158 311688 337662 338624 351648 356928 370656 380952 383616 400192 401544 412698 415584 428571 438048 450216 468864 494208 506493 507936 527472 535392 550264 554112 571428 584064 600288 602316 619047 623376 675324 677248 703296 713856 741312 761904 800384 803088 825396 831168 857142 876096 900432 1012986 1015872 1054944 1070784 1100528 1142856 1200576 1204632 1238094 1246752 1350648 1406592 1482624 1523808 1606176 1650792 1662336 1714284 1752192 1800864 1857141 2025972 2031744 2109888 2141568 2201056 2285712 2401152 2409264 2476188 2493504 2701296 3047616 3212352 3301584 3428568 3601728 3714282 4051944 4219776 4402112 4571424 4818528 4952376 4987008 5402592 5571423 6095232 6424704 6603168 6857136 7203456 7428564 8103888 8804224 9142848 9637056 9904752 10805184 11142846 13206336 13714272 14857128 16207776 18285696 19274112 19809504 21610368 22285692 26412672 27428544 29714256 32415552 39619008 44571384 54857088 59428512 64831104 79238016 89142768 118857024 178285536 237714048 356571072 713142144
- Sum of all divisors σ(n): 2574788040
- Sum of proper divisors (its aliquot sum) s(n): 1861645896
- 713142144 is an abundant number, because the sum of its proper divisors (1861645896) is greater than itself. Its abundance is 1148503752
Bases of 713142144
- Binary: 1010101000000110101111100000002
- Hexadecimal: 0x2A81AF80
- Base-36: BSL400
Squares and roots of 713142144
- 713142144 squared (7131421442) is 508571717548916736
- 713142144 cubed (7131421443) is 362683925030596905988521984
-
The
square root of 713142144 is 26704.7213803101 -
The
cube root of 713142144 is 893.4262342435
Scales and comparisons
How big is 713142144?- 713,142,144 seconds is equal to 22 years, 35 weeks, 23 hours, 2 minutes, 24 seconds.
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To count from 1 to 713,142,144 would take you about thirty-four 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 713142144 cubic inches would be around 74.5 feet tall.
Recreational maths with 713142144
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