131385653538048
131,385,653,538,048 is an even composite number composed of seven prime numbers multiplied together.
131385653538048 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 131385653538048:
28 × 34 × 7 × 132 × 127 × 181 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 127 × 181 × 233)See below for interesting mathematical facts about the number 131385653538048 from the Numbermatics database.
Names of 131385653538048
- Cardinal: 131385653538048 can be written as One hundred thirty-one trillion, three hundred eighty-five billion, six hundred fifty-three million, five hundred thirty-eight thousand and forty-eight.
Scientific notation
- Scientific notation: 1.31385653538048 × 1014
Factors of 131385653538048
Divisors of 131385653538048
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 127 128 144 156 162 168 169 181 182 189 192 208 216 224 233 234 252 254 256 273 288 312 324 336 338 351 362 364 378 381 384 416 432 448 466 468 504 507 508 543 546 567 576 624 648 672 676 699 702 724 728 756 762 768 819 832 864 889 896 932 936 1008 1014 1016 1053 1086 1092 1134 1143 1152 1183 1248 1267 1296 1344 1352 1398 1404 1448 1456 1512 1521 1524 1629 1631 1638 1651 1664 1728 1778 1792 1864 1872 2016 2028 2032 2097 2106 2172 2184 2268 2286 2304 2353 2366 2457 2496 2534 2592 2667 2688 2704 2796 2808 2896 2912 3024 3029 3042 3048 3258 3262 3276 3302 3328 3429 3456 3549 3556 3728 3744 3801 4032 4056 4064 4194 4212 4344 4368 4536 4563 4572 4706 4732 4887 4893 4914 4953 4992 5068 5184 5334 5376 5408 5592 5616 5792 5824 6048 6058 6084 6096 6291 6516 6524 6552 6604 6858 6912 7059 7098 7112 7371 7456 7488 7602 8001 8064 8112 8128 8388 8424 8688 8736 9072 9087 9126 9144 9412 9464 9774 9786 9828 9906 9984 10136 10287 10368 10647 10668 10816 11184 11232 11403 11557 11584 11648 12096 12116 12168 12192 12582 13032 13048 13104 13208 13689 13716 14118 14196 14224 14661 14679 14742 14859 14912 14976 15204 16002 16128 16224 16256 16471 16776 16848 17376 17472 18144 18174 18252 18288 18824 18873 18928 19548 19572 19656 19812 20272 20574 20736 21177 21203 21294 21336 21463 21632 22368 22464 22806 22987 23114 23168 23296 24003 24192 24232 24336 24384 25164 26064 26096 26208 26416 27261 27378 27432 28236 28392 28448 29322 29358 29484 29591 29718 29824 29952 30408 30589 31941 32004 32448 32512 32942 33552 33696 34209 34671 34752 34944 36288 36348 36504 36576 37648 37746 37856 39096 39144 39312 39377 39624 40544 41148 42173 42354 42406 42588 42672 42926 43264 44037 44577 44736 44928 45612 45974 46228 46336 48006 48384 48464 48672 48768 49413 50328 52128 52192 52416 52832 54522 54756 54864 56472 56784 56896 58644 58716 58968 59182 59436 59648 60816 61178 63531 63609 63882 64008 64389 64896 65884 67104 67392 68418 68961 69342 69504 69888 72009 72576 72696 73008 73152 75296 75492 75712 78192 78288 78624 78754 79248 81088 81783 82296 84346 84708 84812 85176 85344 85852 88074 88773 89154 89472 89856 91224 91767 91948 92456 95823 96012 96928 97344 97536 98826 100656 102627 104013 104256 104384 104832 105664 109044 109512 109728 112944 113568 113792 117288 117432 117936 118131 118364 118872 121632 122356 126519 127062 127218 127764 128016 128778 129792 131768 132111 133731 134208 134784 136836 137922 138684 139008 144018 145152 145392 146016 146304 148239 150241 150592 150984 151424 156384 156576 157248 157508 158496 160909 162176 163566 164592 168692 169416 169624 170352 170688 171704 176148 177546 178308 178944 182448 183534 183896 184912 190593 190827 191646 192024 193167 193856 194688 197652 201312 205254 206883 207137 208026 208512 208768 209664 211328 214123 218088 219024 219456 225888 227136 227584 234576 234864 235872 236262 236728 237744 243264 244712 245349 253038 254124 254436 255528 256032 257556 263536 264222 266319 267462 268416 269568 273672 275301 275639 275844 277368 288036 290784 292032 292608 295211 296478 298831 300482 301184 301968 302848 312039 312768 313152 314496 315016 316992 321818 324352 327132 329184 337384 338832 339248 340704 341376 343408 352296 354393 355092 356616 364896 367068 367792 369824 379557 381186 381654 383292 384048 384683 386334 387712 389376 395304 402624 410508 413766 414274 416052 417024 417536 422656 428246 436176 438048 438912 444717 450723 451776 454272 469152 469728 471744 472524 473456 475488 482727 486528 489424 490698 506076 508248 508872 511056 512064 515112 527072 528444 532638 534924 536832 547344 548249 550602 551278 551688 554736 572481 576072 579501 581568 584064 590422 592956 597662 600964 602368 603936 620649 621411 624078 625536 626304 628992 630032 633984 642369 643636 654264 658368 674768 677664 678496 681408 682752 686816 704592 708786 710184 713232 729792 734136 735584 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1216533829056 1263323591712 1368600557688 1443798390528 1564114923072 1622045105408 1684431455616 1824800743584 2052900836532 2085486564096 2346172384608 2433067658112 2526647183424 2737201115376 3128229846144 3368862911232 3649601487168 4105801673064 4692344769216 4866135316224 5053294366848 5474402230752 6256459692288 7299202974336 8211603346128 9384689538432 10106588733696 10948804461504 14598405948672 16423206692256 18769379076864 21897608923008 32846413384512 43795217846016 65692826769024 131385653538048
- Sum of all divisors σ(n): 493451600818176
- Sum of proper divisors (its aliquot sum) s(n): 362065947280128
- 131385653538048 is an abundant number, because the sum of its proper divisors (362065947280128) is greater than itself. Its abundance is 230680293742080
Bases of 131385653538048
- Binary: 111011101111110100110110011010100101101000000002
- Hexadecimal: 0x777E9B352D00
- Base-36: 1AKLQHU800
Squares and roots of 131385653538048
- 131385653538048 squared (1313856535380482) is 17262189955619984940183650304
- 131385653538048 cubed (1313856535380483) is 2268004108817059522457616492210621190766592
-
The
square root of 131385653538048 is 11462358.1141948275 -
The
cube root of 131385653538048 is 50837.3200995229
Scales and comparisons
How big is 131385653538048?- 131,385,653,538,048 seconds is equal to 4,177,657 years, 19 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 131,385,653,538,048 would take you about ten million, four hundred forty-four thousand, one hundred forty-three 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 131385653538048 cubic inches would be around 4236.4 feet tall.
Recreational maths with 131385653538048
- 131385653538048 backwards is 840835356583131
- 131385653538048 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131385653538048's digits is 63
- More coming soon!
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"Number 131385653538048 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 131385653538048 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/131385653538048/
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Numbermatics. 2024. "Number 131385653538048 - Facts about the integer". https://numbermatics.com/n/131385653538048/
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