130461408
130,461,408 is an even composite number composed of six prime numbers multiplied together.
130461408 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 130461408:
25 × 33 × 7 × 11 × 37 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 37 × 53)See below for interesting mathematical facts about the number 130461408 from the Numbermatics database.
Names of 130461408
- Cardinal: 130461408 can be written as One hundred thirty million, four hundred sixty-one thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.30461408 × 108
Factors of 130461408
Divisors of 130461408
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 37 42 44 48 53 54 56 63 66 72 74 77 84 88 96 99 106 108 111 112 126 132 144 148 154 159 168 176 189 198 212 216 222 224 231 252 259 264 288 296 297 308 318 333 336 352 371 378 396 407 424 432 444 462 477 504 518 528 583 592 594 616 636 666 672 693 742 756 777 792 814 848 864 888 924 954 999 1008 1036 1056 1113 1166 1184 1188 1221 1232 1272 1332 1386 1431 1484 1512 1554 1584 1628 1696 1749 1776 1848 1908 1961 1998 2016 2072 2079 2226 2331 2332 2376 2442 2464 2544 2664 2772 2849 2862 2968 3024 3108 3168 3256 3339 3498 3552 3663 3696 3816 3922 3996 4081 4144 4158 4452 4662 4664 4752 4884 5088 5247 5328 5544 5698 5724 5883 5936 6048 6216 6512 6678 6993 6996 7326 7392 7632 7844 7992 8162 8288 8316 8547 8904 9324 9328 9504 9768 10017 10494 10656 10989 11088 11396 11448 11766 11872 12243 12432 13024 13356 13727 13986 13992 14652 15264 15688 15741 15984 16324 16632 17094 17649 17808 18648 18656 19536 20034 20988 21571 21978 22176 22792 22896 23532 24486 24864 25641 26712 27454 27972 27984 29304 31376 31482 31968 32648 33264 34188 35298 35616 36729 37296 39072 40068 41181 41976 43142 43956 45584 45792 47064 48972 51282 52947 53424 54908 55944 55968 58608 62752 62964 64713 65296 66528 68376 70596 73458 74592 76923 80136 82362 83952 86284 87912 91168 94128 97944 102564 105894 106848 109816 110187 111888 117216 123543 125928 129426 130592 136752 141192 146916 150997 153846 160272 164724 167904 172568 175824 188256 194139 195888 205128 211788 219632 220374 223776 247086 251856 258852 273504 282384 293832 301994 307692 320544 329448 345136 351648 370629 388278 391776 410256 423576 439264 440748 452991 494172 503712 517704 564768 582417 587664 603988 615384 658896 690272 741258 776556 820512 847152 881496 905982 988344 1035408 1164834 1175328 1207976 1230768 1317792 1358973 1482516 1553112 1694304 1762992 1811964 1976688 2070816 2329668 2415952 2461536 2717946 2965032 3106224 3525984 3623928 3953376 4076919 4659336 4831904 5435892 5930064 6212448 7247856 8153838 9318672 10871784 11860128 14495712 16307676 18637344 21743568 32615352 43487136 65230704 130461408
- Sum of all divisors σ(n): 496419840
- Sum of proper divisors (its aliquot sum) s(n): 365958432
- 130461408 is an abundant number, because the sum of its proper divisors (365958432) is greater than itself. Its abundance is 235497024
Bases of 130461408
- Binary: 1111100011010101110111000002
- Hexadecimal: 0x7C6AEE0
- Base-36: 25O8O0
Squares and roots of 130461408
- 130461408 squared (1304614082) is 17020178977342464
- 130461408 cubed (1304614083) is 2220476513796097951629312
-
The
square root of 130461408 is 11421.9704079463 -
The
cube root of 130461408 is 507.1783273819
Scales and comparisons
How big is 130461408?- 130,461,408 seconds is equal to 4 years, 7 weeks, 4 days, 23 hours, 16 minutes, 48 seconds.
-
To count from 1 to 130,461,408 would take you about six 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 130461408 cubic inches would be around 42.3 feet tall.
Recreational maths with 130461408
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