131861613312
131,861,613,312 is an even composite number composed of five prime numbers multiplied together.
131861613312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 131861613312:
28 × 310 × 11 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 61)See below for interesting mathematical facts about the number 131861613312 from the Numbermatics database.
Names of 131861613312
- Cardinal: 131861613312 can be written as One hundred thirty-one billion, eight hundred sixty-one million, six hundred thirteen thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.31861613312 × 1011
Factors of 131861613312
Divisors of 131861613312
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 61 64 66 72 78 81 88 96 99 104 108 117 122 128 132 143 144 156 162 176 183 192 198 208 216 234 243 244 256 264 286 288 297 312 324 351 352 366 384 396 416 429 432 468 486 488 528 549 572 576 594 624 648 671 702 704 729 732 768 792 793 832 858 864 891 936 972 976 1053 1056 1098 1144 1152 1188 1248 1287 1296 1342 1404 1408 1458 1464 1584 1586 1647 1664 1716 1728 1782 1872 1944 1952 2013 2106 2112 2187 2196 2288 2304 2376 2379 2496 2574 2592 2673 2684 2808 2816 2916 2928 3159 3168 3172 3294 3328 3432 3456 3564 3744 3861 3888 3904 4026 4212 4224 4374 4392 4576 4752 4758 4941 4992 5148 5184 5346 5368 5616 5832 5856 6039 6318 6336 6344 6561 6588 6864 6912 7128 7137 7488 7722 7776 7808 8019 8052 8424 8448 8723 8748 8784 9152 9477 9504 9516 9882 9984 10296 10368 10692 10736 11232 11583 11664 11712 12078 12636 12672 12688 13122 13176 13728 14256 14274 14823 14976 15444 15552 15616 16038 16104 16848 17446 17496 17568 18117 18304 18954 19008 19032 19683 19764 20592 20736 21384 21411 21472 22464 23166 23328 23424 24057 24156 25272 25344 25376 26169 26244 26352 27456 28431 28512 28548 29646 29952 30888 31104 32076 32208 33696 34749 34892 34992 35136 36234 36608 37908 38016 38064 39366 39528 41184 42768 42822 42944 44469 44928 46332 46656 46848 48114 48312 50544 50752 52338 52488 52704 54351 54912 56862 57024 57096 59049 59292 61776 62208 64152 64233 64416 67392 69498 69784 69984 70272 72171 72468 75816 76032 76128 78507 78732 79056 82368 85293 85536 85644 85888 88938 89856 92664 93312 96228 96624 101088 101504 104247 104676 104976 105408 108702 109824 113724 114048 114192 118098 118584 123552 128304 128466 128832 133407 134784 138996 139568 139968 140544 144342 144936 151632 152256 157014 157464 158112 163053 164736 170586 171072 171288 171776 177876 185328 186624 192456 192699 193248 202176 203008 208494 209352 209952 210816 216513 217404 227448 228096 228384 235521 236196 237168 247104 255879 256608 256932 257664 266814 269568 277992 279136 279936 288684 289872 303264 304512 312741 314028 314928 316224 326106 329472 341172 342144 342576 355752 370656 384912 385398 386496 400221 404352 416988 418704 419904 421632 433026 434808 454896 456768 471042 472392 474336 489159 494208 511758 513216 513864 515328 533628 555984 558272 559872 577368 578097 579744 606528 609024 625482 628056 629856 632448 649539 652212 682344 684288 685152 706563 711504 741312 767637 769824 770796 772992 800442 808704 833976 837408 839808 866052 869616 909792 913536 938223 942084 944784 948672 978318 988416 1023516 1026432 1027728 1067256 1111968 1116544 1154736 1156194 1159488 1200663 1213056 1250964 1256112 1259712 1264896 1299078 1304424 1364688 1370304 1413126 1423008 1467477 1482624 1535274 1539648 1541592 1545984 1600884 1667952 1674816 1679616 1732104 1734291 1739232 1819584 1827072 1876446 1884168 1889568 1897344 1956636 2047032 2052864 2055456 2119689 2134512 2223936 2233088 2309472 2312388 2318976 2401326 2426112 2501928 2512224 2519424 2598156 2608848 2729376 2740608 2814669 2826252 2846016 2934954 2965248 3070548 3079296 3083184 3201768 3335904 3349632 3464208 3468582 3478464 3601989 3639168 3752892 3768336 3779136 3794688 3913272 4094064 4110912 4239378 4269024 4402431 4447872 4618944 4624776 4637952 4802652 5003856 5024448 5038848 5196312 5202873 5217696 5458752 5481216 5629338 5652504 5692032 5869908 6141096 6158592 6166368 6359067 6403536 6671808 6699264 6928416 6937164 6956928 7203978 7278336 7505784 7536672 7558272 7826544 8188128 8221824 8444007 8478756 8538048 8804862 8895744 9237888 9249552 9605304 10007712 10048896 10392624 10405746 10435392 10917504 11258676 11305008 11384064 11739816 12282192 12332736 12718134 12807072 13207293 13343616 13856832 13874328 13913856 14407956 15011568 15073344 15116544 15608619 15653088 16376256 16443648 16888014 16957512 17076096 17609724 18475776 18499104 19077201 19210608 20015424 20097792 20785248 20811492 20870784 21835008 22517352 22610016 23479632 24564384 24665472 25436268 25614144 26414586 26687232 27713664 27748656 28815912 30023136 30146688 31217238 31306176 32752512 33776028 33915024 34152192 35219448 36998208 38154402 38421216 39621879 40030848 41570496 41622984 41741568 45034704 45220032 46825857 46959264 49128768 49330944 50872536 51228288 52829172 55427328 55497312 57231603 57631824 60046272 60293376 62434476 62612352 65505024 67552056 67830048 70438896 73996416 76308804 76842432 79243758 80061696 83140992 83245968 90069408 90440064 93651714 93918528 98257536 101745072 102456576 105658344 110994624 114463206 115263648 120092544 124868952 125224704 135104112 135660096 140877792 147992832 152617608 153684864 158487516 166281984 166491936 171694809 180138816 180880128 187303428 187837056 196515072 203490144 211316688 221989248 228926412 230527296 240185088 249737904 270208224 271320192 281755584 305235216 307369728 316975032 332983872 343389618 360277632 374606856 375674112 406980288 422633376 443978496 457852824 461054592 499475808 515084427 540416448 542640384 563511168 610470432 633950064 665967744 686779236 720555264 749213712 813960576 845266752 915705648 922109184 998951616 1030168854 1080832896 1127022336 1220940864 1267900128 1331935488 1373558472 1498427424 1627921152 1690533504 1831411296 1997903232 2060337708 2161665792 2441881728 2535800256 2747116944 2996854848 3381067008 3662822592 3995806464 4120675416 4883763456 5071600512 5494233888 5993709696 7325645184 8241350832 10143201024 10988467776 11987419392 14651290368 16482701664 21976935552 32965403328 43953871104 65930806656 131861613312
- Sum of all divisors σ(n): 471436524048
- Sum of proper divisors (its aliquot sum) s(n): 339574910736
- 131861613312 is an abundant number, because the sum of its proper divisors (339574910736) is greater than itself. Its abundance is 207713297424
Bases of 131861613312
- Binary: 11110101100111001000010001011000000002
- Hexadecimal: 0x1EB3908B00
- Base-36: 1OKR0000
Squares and roots of 131861613312
- 131861613312 squared (1318616133122) is 17387485065243415609344
- 131861613312 cubed (1318616133123) is 2292741832141302360233423381987328
-
The
square root of 131861613312 is 363127.5441384197 -
The
cube root of 131861613312 is 5089.8634150083
Scales and comparisons
How big is 131861613312?- 131,861,613,312 seconds is equal to 4,192 years, 41 weeks, 1 day, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 131,861,613,312 would take you about eight thousand, three hundred eighty-five 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 131861613312 cubic inches would be around 424.2 feet tall.
Recreational maths with 131861613312
- 131861613312 backwards is 213316168131
- 131861613312 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131861613312's digits is 36
- More coming soon!
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