131328138624
131,328,138,624 is an even composite number composed of seven prime numbers multiplied together.
131328138624 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 131328138624:
27 × 3 × 19 × 37 × 53 × 67 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 37 × 53 × 67 × 137)See below for interesting mathematical facts about the number 131328138624 from the Numbermatics database.
Names of 131328138624
- Cardinal: 131328138624 can be written as One hundred thirty-one billion, three hundred twenty-eight million, one hundred thirty-eight thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.31328138624 × 1011
Factors of 131328138624
Divisors of 131328138624
- Number of divisors d(n): 512
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Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 32 37 38 48 53 57 64 67 74 76 96 106 111 114 128 134 137 148 152 159 192 201 212 222 228 268 274 296 304 318 384 402 411 424 444 456 536 548 592 608 636 703 804 822 848 888 912 1007 1072 1096 1184 1216 1272 1273 1406 1608 1644 1696 1776 1824 1961 2014 2109 2144 2192 2368 2432 2479 2544 2546 2603 2812 3021 3216 3288 3392 3551 3552 3648 3819 3922 4028 4218 4288 4384 4736 4958 5069 5088 5092 5206 5624 5883 6042 6432 6576 6784 7102 7104 7261 7296 7437 7638 7809 7844 8056 8436 8576 8768 9179 9916 10138 10176 10184 10412 10653 11248 11766 12084 12864 13152 14204 14208 14522 14874 15207 15276 15618 15688 16112 16872 17536 18358 19832 20276 20352 20368 20824 21306 21783 22496 23532 24168 25728 26304 27537 28408 29044 29748 30414 30552 31236 31376 32224 33744 36716 37259 39664 40552 40736 41648 42612 43566 44992 47064 47101 48336 52608 55074 56816 58088 59496 60828 61104 62472 62752 64448 67469 67488 73432 74518 79328 81104 81472 83296 85224 87132 89984 94128 94202 96311 96672 110148 111777 113632 116176 118992 121656 122208 124944 125504 128896 131387 134938 134976 137959 141303 146864 149036 158656 162208 162944 166592 170448 174264 174401 188256 188404 192622 193344 202407 220296 223554 227264 232352 237984 243312 244416 249888 251008 262774 268657 269876 269952 275918 282606 288933 293728 298072 317312 324416 333184 339623 340896 348528 348802 376512 376808 385244 386688 394161 404814 413877 440592 447108 454528 464704 475968 486487 486624 488832 499776 523203 525548 537314 539752 551836 565212 577866 587456 596144 648832 679246 681792 697056 697604 753024 753616 770488 788322 805971 809628 827754 881184 894216 929408 951936 972974 973248 999552 1018869 1046406 1051096 1074628 1079504 1103672 1130424 1155732 1174912 1192288 1358492 1363584 1394112 1395208 1459461 1507232 1540976 1576644 1611942 1619256 1655508 1762368 1788432 1945948 1946496 2037738 2092812 2102192 2149256 2159008 2207344 2260848 2311464 2384576 2496353 2716984 2788224 2790416 2918922 3014464 3081952 3153288 3223884 3238512 3311016 3524736 3576864 3891896 4075476 4185624 4204384 4298512 4318016 4414688 4521696 4622928 4769152 4992706 5104483 5433968 5580832 5837844 6028928 6163904 6306576 6447768 6452837 6477024 6622032 7153728 7489059 7783792 8150952 8371248 8408768 8597024 8636032 8829376 9043392 9243253 9245856 9985412 10208966 10867936 11161664 11675688 12327808 12613152 12895536 12905674 12954048 13244064 14307456 14978118 15313449 15567584 16301904 16742496 16817536 17194048 17658752 18000019 18086784 18486506 18491712 19358511 19970824 20417932 21735872 22323328 23351376 25226304 25791072 25811348 25908096 26488128 27729759 29956236 30626898 31135168 32603808 33484992 34388096 36000038 36973012 36983424 38717022 39941648 40835864 43471744 46702752 50452608 51582144 51622696 52976256 54000057 55459518 59912472 61253796 62270336 65207616 66969984 72000076 73946024 77434044 79883296 81671728 93405504 103164288 103245392 108000114 110919036 119824944 122507592 130415232 144000152 147892048 154868088 159766592 163343456 186811008 206490784 216000228 221838072 239649888 245015184 288000304 295784096 309736176 319533184 326686912 342000361 412981568 432000456 443676144 479299776 490030368 576000608 591568192 619472352 653373824 684000722 825963136 864000912 887352288 958599552 980060736 1026001083 1152001216 1183136384 1238944704 1368001444 1728001824 1774704576 1960121472 2052002166 2304002432 2477889408 2736002888 3456003648 3549409152 4104004332 5472005776 6912007296 8208008664 10944011552 16416017328 21888023104 32832034656 43776046208 65664069312 131328138624
- Sum of all divisors σ(n): 392821747200
- Sum of proper divisors (its aliquot sum) s(n): 261493608576
- 131328138624 is an abundant number, because the sum of its proper divisors (261493608576) is greater than itself. Its abundance is 130165469952
Bases of 131328138624
- Binary: 11110100100111100010001011101100000002
- Hexadecimal: 0x1E93C45D80
- Base-36: 1OBXDSAO
Squares and roots of 131328138624
- 131328138624 squared (1313281386242) is 17247079994444560613376
- 131328138624 cubed (1313281386243) is 2265026912369632406116213796634624
-
The
square root of 131328138624 is 362392.2441554179 -
The
cube root of 131328138624 is 5082.9900895641
Scales and comparisons
How big is 131328138624?- 131,328,138,624 seconds is equal to 4,175 years, 43 weeks, 14 hours, 30 minutes, 24 seconds.
-
To count from 1 to 131,328,138,624 would take you about eight thousand, three hundred fifty-one 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 131328138624 cubic inches would be around 423.6 feet tall.
Recreational maths with 131328138624
- 131328138624 backwards is 426831823131
- The number of decimal digits it has is: 12
- The sum of 131328138624's digits is 42
- More coming soon!
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