133131398517468
133,131,398,517,468 is an even composite number composed of seven prime numbers multiplied together.
133131398517468 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 133131398517468:
22 × 33 × 13 × 59 × 127 × 409 × 30941
(2 × 2 × 3 × 3 × 3 × 13 × 59 × 127 × 409 × 30941)See below for interesting mathematical facts about the number 133131398517468 from the Numbermatics database.
Names of 133131398517468
- Cardinal: 133131398517468 can be written as One hundred thirty-three trillion, one hundred thirty-one billion, three hundred ninety-eight million, five hundred seventeen thousand, four hundred sixty-eight.
Scientific notation
- Scientific notation: 1.33131398517468 × 1014
Factors of 133131398517468
Divisors of 133131398517468
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 108 117 118 127 156 177 234 236 254 351 354 381 409 468 508 531 702 708 762 767 818 1062 1143 1227 1404 1524 1534 1593 1636 1651 2124 2286 2301 2454 3068 3186 3302 3429 3681 4572 4602 4908 4953 5317 6372 6604 6858 6903 7362 7493 9204 9906 10634 11043 13716 13806 14724 14859 14986 15951 19812 20709 21268 22086 22479 24131 27612 29718 29972 30941 31902 41418 44172 44577 44958 47853 48262 51943 59436 61882 63804 67437 72393 82836 89154 89916 92823 95706 96524 97409 103886 123764 134874 143559 144786 155829 178308 185646 191412 194818 202311 207772 217179 269748 278469 287118 289572 292227 311658 313703 371292 389636 402233 404622 434358 467487 556938 574236 584454 623316 627406 651537 675259 804466 809244 835407 868716 876681 934974 941109 1113876 1168908 1206699 1254812 1303074 1350518 1402461 1608932 1670814 1753362 1825519 1869948 1882218 2025777 2413398 2606148 2630043 2701036 2804922 2823327 3064637 3341628 3506724 3620097 3651038 3764436 3929507 4051554 4826796 5260086 5476557 5609844 5646654 6077331 6129274 7240194 7302076 7859014 8103108 8469981 9193911 10520172 10860291 10953114 11293308 11788521 12154662 12258548 12654869 14480388 15718028 16429671 16939962 18231993 18387822 21720582 21906228 23577042 23731747 24309324 25309738 27581733 32859342 33879924 35365563 36463986 36775644 37964607 39840281 43441164 47154084 47463494 49289013 50619476 51083591 55163466 65718684 70731126 71195241 72927972 75929214 79680562 82745199 94926988 98578026 102167182 106096689 110326932 113893821 119520843 141462252 142390482 151858428 153250773 159361124 164513297 165490398 197156052 204334364 212193378 213585723 227787642 231840913 239041686 284780964 306501546 329026594 330980796 341681463 358562529 424386756 427171446 455575284 459752319 463681826 478083372 493539891 613003092 640757169 658053188 683362926 695522739 717125058 746637271 854342892 919504638 927363652 987079782 1075687587 1281514338 1366725852 1379256957 1391045478 1434250116 1480619673 1493274542 1607168363 1839009276 1974159564 2086568217 2151375174 2239911813 2563028676 2758513914 2782090956 2961239346 2986549084 3013931869 3214336726 4173136434 4302750348 4441859019 4479823626 4821505089 5517027828 5922478692 6027863738 6259704651 6428673452 6719735439 8346272868 8883718038 8959647252 9041795607 9643010178 9706284523 12055727476 12519409302 13439470878 14464515267 17767436076 18083591214 19286020356 19412569046 20159206317 20893188719 25038818604 26878941756 27125386821 28929030534 29118853569 36167182428 38825138092 40318412634 41786377438 43393545801 54250773642 57858061068 58237707138 62679566157 80636825268 81376160463 83572754876 86787091602 87356560707 94822933417 108501547284 116475414276 125359132314 162752320926 173574183204 174713121414 188038698471 189645866834 250718264628 262069682121 284468800251 325504641852 349426242828 376077396942 379291733668 524139364242 564116095413 568937600502 752154793884 853406400753 1048278728484 1128232190826 1137875201004 1232698134421 1706812801506 2256464381652 2465396268842 2560219202259 3413625603012 3698094403263 4930792537684 5120438404518 7396188806526 10240876809036 11094283209789 14792377613052 22188566419578 33282849629367 44377132839156 66565699258734 133131398517468
- Sum of all divisors σ(n): 381926264832000
- Sum of proper divisors (its aliquot sum) s(n): 248794866314532
- 133131398517468 is an abundant number, because the sum of its proper divisors (248794866314532) is greater than itself. Its abundance is 115663467797064
Bases of 133131398517468
- Binary: 111100100010101000100011011011110010010110111002
- Hexadecimal: 0x791511B792DC
- Base-36: 1B6VPXBR30
Squares and roots of 133131398517468
- 133131398517468 squared (1331313985174682) is 17723969271216880788301131024
- 133131398517468 cubed (1331313985174683) is 2359616816357731431383928485966901220727232
-
The
square root of 133131398517468 is 11538258.0365264841 -
The
cube root of 133131398517468 is 51061.4917027861
Scales and comparisons
How big is 133131398517468?- 133,131,398,517,468 seconds is equal to 4,233,166 years, 34 weeks, 6 days, 37 minutes, 48 seconds.
-
To count from 1 to 133,131,398,517,468 would take you about ten million, five hundred eighty-two thousand, nine hundred sixteen 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 133131398517468 cubic inches would be around 4255.1 feet tall.
Recreational maths with 133131398517468
- 133131398517468 backwards is 864715893131331
- The number of decimal digits it has is: 15
- The sum of 133131398517468's digits is 63
- More coming soon!
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