132515040807968
132,515,040,807,968 is an even composite number composed of seven prime numbers multiplied together.
132515040807968 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 132515040807968:
25 × 7 × 13 × 29 × 41 × 73 × 524287
(2 × 2 × 2 × 2 × 2 × 7 × 13 × 29 × 41 × 73 × 524287)See below for interesting mathematical facts about the number 132515040807968 from the Numbermatics database.
Names of 132515040807968
- Cardinal: 132515040807968 can be written as One hundred thirty-two trillion, five hundred fifteen billion, forty million, eight hundred seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.32515040807968 × 1014
Factors of 132515040807968
Divisors of 132515040807968
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 29 32 41 52 56 58 73 82 91 104 112 116 146 164 182 203 208 224 232 287 292 328 364 377 406 416 464 511 533 574 584 656 728 754 812 928 949 1022 1066 1148 1168 1189 1312 1456 1508 1624 1898 2044 2117 2132 2296 2336 2378 2639 2912 2993 3016 3248 3731 3796 4088 4234 4264 4592 4756 5278 5986 6032 6496 6643 7462 7592 8176 8323 8468 8528 9184 9512 10556 11972 12064 13286 14819 14924 15184 15457 16352 16646 16936 17056 19024 20951 21112 23944 26572 27521 29638 29848 30368 30914 33292 33872 38048 38909 41902 42224 47888 53144 55042 59276 59696 61828 66584 67744 77818 83804 84448 86797 95776 106288 108199 110084 118552 119392 123656 133168 155636 167608 173594 192647 212576 216398 220168 237104 247312 266336 272363 311272 335216 347188 385294 432796 440336 474208 494624 524287 544726 607579 622544 670432 694376 770588 865592 880672 1048574 1089452 1128361 1215158 1245088 1388752 1541176 1731184 2097148 2178904 2256722 2430316 2777504 3082352 3462368 3670009 4194296 4357808 4513444 4860632 6164704 6815731 7340018 7898527 8388592 8715616 9026888 9721264 13631462 14680036 15204323 15797054 16777184 18053776 19442528 21495767 27262924 29360072 30408646 31594108 36107552 38272951 42991534 47710117 54525848 58720144 60817292 63188216 76545902 85983068 95420234 106430261 109051696 117440288 121634584 126376432 150470369 153091804 171966136 190840468 197656199 212860522 218103392 243269168 252752864 267910657 279444971 300940738 306183608 343932272 381680936 395312398 425721044 486538336 497548363 535821314 558889942 601881476 612367216 623377243 687864544 763361872 790624796 851442088 995096726 1071642628 1109915579 1117779884 1203762952 1224734432 1246754486 1383593393 1526723744 1569190991 1581249592 1702884176 1956114797 1990193452 2143285256 2219831158 2235559768 2407525904 2493508972 2767186786 3138381982 3162499184 3405768352 3482838541 3912229594 3980386904 4286570512 4363640701 4439662316 4471119536 4815051808 4987017944 5534373572 6276763964 6324998368 6965677082 7769409053 7824459188 7960773808 8103904159 8573141024 8727281402 8879324632 8942239072 9974035888 10984336937 11068747144 12553527928 13931354164 14428902527 15538818106 15648918376 15921547616 16207808318 17454562804 17758649264 19948071776 20399482883 21968673874 22137494288 25107055856 27862708328 28857805054 31077636212 31297836752 32415616636 34909125608 35517298528 40798965766 43937347748 44274988576 45506538739 50214111712 55725416656 56727329113 57715610108 62155272424 62595673504 64831233272 69818251216 81597931532 87874695496 91013077478 101002317689 111450833312 113454658226 115431220216 124310544848 129662466544 139636502432 142796380181 163195863064 175749390992 182026154956 202004635378 226909316452 230862440432 248621089696 259324933088 285592760362 318545771173 326391726128 351498781984 364052309912 404009270756 453818632904 461724880864 571185520724 591585003607 637091542346 652783452256 728104619824 808018541512 907637265808 1142371041448 1183170007214 1274183084692 1456209239648 1616037083024 1815274531616 2284742082896 2366340014428 2548366169384 3232074166048 4141095025249 4569484165792 4732680028856 5096732338768 8282190050498 9465360057712 10193464677536 16564380100996 18930720115424 33128760201992 66257520403984 132515040807968
- Sum of all divisors σ(n): 344929830174720
- Sum of proper divisors (its aliquot sum) s(n): 212414789366752
- 132515040807968 is an abundant number, because the sum of its proper divisors (212414789366752) is greater than itself. Its abundance is 79899748558784
Bases of 132515040807968
- Binary: 111100010000101100011111110111101001100001000002
- Hexadecimal: 0x78858FEF4C20
- Base-36: 1AZ0KHUYOW
Squares and roots of 132515040807968
- 132515040807968 squared (1325150408079682) is 17560236040337424330252289024
- 132515040807968 cubed (1325150408079683) is 2326995395482864191659703351372202418143232
-
The
square root of 132515040807968 is 11511517.7456305909 -
The
cube root of 132515040807968 is 50982.5700796537
Scales and comparisons
How big is 132515040807968?- 132,515,040,807,968 seconds is equal to 4,213,568 years, 20 weeks, 6 days, 5 hours, 46 minutes, 8 seconds.
-
To count from 1 to 132,515,040,807,968 would take you about ten million, five hundred thirty-three thousand, nine hundred twenty-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 132515040807968 cubic inches would be around 4248.5 feet tall.
Recreational maths with 132515040807968
- 132515040807968 backwards is 869708040515231
- The number of decimal digits it has is: 15
- The sum of 132515040807968's digits is 59
- More coming soon!
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