132825218082375
132,825,218,082,375 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 132825218082375 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
132825218082375 is an odd 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 132825218082375:
3 × 53 × 72 × 13 × 29 × 73 × 262657
(3 × 5 × 5 × 5 × 7 × 7 × 13 × 29 × 73 × 262657)See below for interesting mathematical facts about the number 132825218082375 from the Numbermatics database.
Names of 132825218082375
- Cardinal: 132825218082375 can be written as One hundred thirty-two trillion, eight hundred twenty-five billion, two hundred eighteen million, eighty-two thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.32825218082375 × 1014
Factors of 132825218082375
Divisors of 132825218082375
- Number of divisors d(n): 384
-
Complete list of divisors:
1 3 5 7 13 15 21 25 29 35 39 49 65 73 75 87 91 105 125 145 147 175 195 203 219 245 273 325 365 375 377 435 455 511 525 609 637 725 735 875 949 975 1015 1095 1131 1225 1365 1421 1533 1625 1825 1885 1911 2117 2175 2275 2555 2625 2639 2847 3045 3185 3577 3625 3675 4263 4745 4875 5075 5475 5655 6125 6351 6643 6825 7105 7665 7917 9125 9425 9555 10585 10731 10875 11375 12775 13195 14235 14819 15225 15925 17885 18375 18473 19929 21315 23725 25375 27375 27521 28275 31755 33215 34125 35525 38325 39585 44457 46501 47125 47775 52925 53655 55419 63875 65975 71175 74095 76125 79625 82563 89425 92365 99645 103733 106575 118625 137605 139503 141375 158775 166075 177625 191625 192647 197925 222285 232505 238875 262657 264625 268275 277095 311199 329875 355875 370475 412815 447125 461825 498225 518665 532875 577941 688025 697515 787971 793875 830375 963235 989625 1111425 1162525 1313285 1341375 1348529 1385475 1555995 1838599 1852375 2064075 2309125 2491125 2593325 2889705 3414541 3440125 3487575 3939855 4045587 4816175 5515797 5557125 5812625 6566425 6742645 6927375 7617053 7779975 9192995 10243623 10320375 12870193 12966625 14448525 17072705 17437875 19173961 19699275 20227935 22851159 23901787 24080875 27578985 32832125 33713225 38085265 38610579 38899875 45964975 51218115 53319371 57521883 64350965 71705361 72242625 85363525 95869805 98496375 99021689 101139675 114255795 119508935 134217727 137894925 159958113 167312509 168566125 190426325 193052895 229824875 249261493 256090575 266596855 287609415 297065067 321754825 358526805 373235597 402653181 426817625 479349025 495108445 501937527 505698375 556044869 571278975 597544675 671088635 689474625 693151823 747784479 799790565 836562545 939524089 952131625 965264475 1119706791 1246307465 1280452875 1332984275 1438047075 1485325335 1608774125 1668134607 1744830451 1792634025 1866177985 2013265905 2079455469 2396745125 2475542225 2509687635 2780224345 2818572267 2856394875 2987723375 3355443175 3465759115 3738922395 3892314083 3998952825 4182812725 4697620445 4826322375 4852062761 5234491353 5598533955 6231537325 6664921375 7190235375 7228583297 7426626675 8340673035 8724152255 8963170125 9330889925 10066329525 10397277345 11676942249 12213813157 12377711125 12548438175 13901121725 14092861335 14556188283 16777215875 17328795575 18694611975 19461570415 19994764125 20914063625 21685749891 23488102225 24260313805 26172456765 27246198581 27992669775 31157686625 36142916485 36641439471 37133133375 41703365175 43620761275 46654449625 50331647625 50600083079 51986386725 58384711245 61069065785 62742190875 69505608625 70464306675 72780941415 81738595743 86643977875 93473059875 97307852075 108428749455 117440511125 121301569025 130862283825 136230992905 139963348875 151800249237 180714582425 183207197355 208516825875 218103806375 253000415395 259931933625 291923556225 305345328925 352321533375 354200581553 363904707075 408692978715 486539260375 542143747275 606507845125 654311419125 681154964525 759001246185 903572912125 916035986775 1062601744659 1265002076975 1459617781125 1526726644625 1771002907765 1819523535375 2043464893575 2710718736375 3405774822625 3795006230925 4580179933875 5313008723295 6325010384875 8855014538825 10217324467875 18975031154625 26565043616475 44275072694125 132825218082375
- Sum of all divisors σ(n): 290356189643520
- Sum of proper divisors (its aliquot sum) s(n): 157530971561145
- 132825218082375 is an abundant number, because the sum of its proper divisors (157530971561145) is greater than itself. Its abundance is 24705753478770
Bases of 132825218082375
- Binary: 111100011001101110001111111000011100110010001112
- Hexadecimal: 0x78CDC7F0E647
- Base-36: 1B2Z29EFD3
Squares and roots of 132825218082375
- 132825218082375 squared (1328252180823752) is 17642538558630478672285640625
- 132825218082375 cubed (1328252180823753) is 2343374031576803224857876454914810896484375
-
The
square root of 132825218082375 is 11524982.3462934207 -
The
cube root of 132825218082375 is 51022.3172969131
Scales and comparisons
How big is 132825218082375?- 132,825,218,082,375 seconds is equal to 4,223,431 years, 4 weeks, 23 hours, 46 minutes, 15 seconds.
-
To count from 1 to 132,825,218,082,375 would take you about ten million, five hundred fifty-eight thousand, five hundred seventy-seven 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 132825218082375 cubic inches would be around 4251.9 feet tall.
Recreational maths with 132825218082375
- 132825218082375 backwards is 573280812528231
- The number of decimal digits it has is: 15
- The sum of 132825218082375's digits is 57
- More coming soon!
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