131485536
131,485,536 is an even composite number composed of six prime numbers multiplied together.
131485536 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131485536:
25 × 32 × 7 × 13 × 29 × 173
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 29 × 173)See below for interesting mathematical facts about the number 131485536 from the Numbermatics database.
Names of 131485536
- Cardinal: 131485536 can be written as One hundred thirty-one million, four hundred eighty-five thousand, five hundred thirty-six.
Scientific notation
- Scientific notation: 1.31485536 × 108
Factors of 131485536
Divisors of 131485536
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 29 32 36 39 42 48 52 56 58 63 72 78 84 87 91 96 104 112 116 117 126 144 156 168 173 174 182 203 208 224 232 234 252 261 273 288 312 336 346 348 364 377 406 416 464 468 504 519 522 546 609 624 672 692 696 728 754 812 819 928 936 1008 1038 1044 1092 1131 1211 1218 1248 1384 1392 1456 1508 1557 1624 1638 1827 1872 2016 2076 2088 2184 2249 2262 2422 2436 2639 2768 2784 2912 3016 3114 3248 3276 3393 3633 3654 3744 4152 4176 4368 4498 4524 4844 4872 5017 5278 5536 6032 6228 6496 6552 6747 6786 7266 7308 7917 8304 8352 8736 8996 9048 9688 9744 10034 10556 10899 12064 12456 13104 13494 13572 14532 14616 15051 15743 15834 16608 17992 18096 19376 19488 20068 20241 21112 21798 23751 24912 26208 26988 27144 29064 29232 30102 31486 31668 35119 35984 36192 38752 40136 40482 42224 43596 45153 47229 47502 49824 53976 54288 58128 58464 60204 62972 63336 65221 70238 71968 80272 80964 84448 87192 90306 94458 95004 105357 107952 108576 116256 120408 125944 126672 130442 140476 141687 160544 161928 174384 180612 188916 190008 195663 210714 215904 240816 251888 253344 260884 280952 283374 316071 323856 348768 361224 377832 380016 391326 421428 456547 481632 503776 521768 561904 566748 586989 632142 647712 722448 755664 760032 782652 842856 913094 1043536 1123808 1133496 1173978 1264284 1369641 1444896 1511328 1565304 1685712 1826188 2087072 2266992 2347956 2528568 2739282 3130608 3371424 3652376 4108923 4533984 4695912 5057136 5478564 6261216 7304752 8217846 9391824 10114272 10957128 14609504 16435692 18783648 21914256 32871384 43828512 65742768 131485536
- Sum of all divisors σ(n): 478820160
- Sum of proper divisors (its aliquot sum) s(n): 347334624
- 131485536 is an abundant number, because the sum of its proper divisors (347334624) is greater than itself. Its abundance is 215849088
Bases of 131485536
- Binary: 1111101011001001111011000002
- Hexadecimal: 0x7D64F60
- Base-36: 26A6W0
Squares and roots of 131485536
- 131485536 squared (1314855362) is 17288446177207296
- 131485536 cubed (1314855363) is 2273180612217252297670656
-
The
square root of 131485536 is 11466.7142634671 -
The
cube root of 131485536 is 508.5019941157
Scales and comparisons
How big is 131485536?- 131,485,536 seconds is equal to 4 years, 9 weeks, 2 days, 19 hours, 45 minutes, 36 seconds.
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To count from 1 to 131,485,536 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 131485536 cubic inches would be around 42.4 feet tall.
Recreational maths with 131485536
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