132478017367384723992
132,478,017,367,384,723,992 is an even composite number composed of seven prime numbers multiplied together.
132478017367384723992 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 132478017367384723992:
23 × 3 × 29 × 61 × 307 × 4733 × 2147483647
(2 × 2 × 2 × 3 × 29 × 61 × 307 × 4733 × 2147483647)See below for interesting mathematical facts about the number 132478017367384723992 from the Numbermatics database.
Names of 132478017367384723992
- Cardinal: 132478017367384723992 can be written as One hundred thirty-two quintillion, four hundred seventy-eight quadrillion, seventeen trillion, three hundred sixty-seven billion, three hundred eighty-four million, seven hundred twenty-three thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.32478017367384723992 × 1020
Factors of 132478017367384723992
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 2147488782
Divisors of 132478017367384723992
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 12 24 29 58 61 87 116 122 174 183 232 244 307 348 366 488 614 696 732 921 1228 1464 1769 1842 2456 3538 3684 4733 5307 7076 7368 8903 9466 10614 14152 14199 17806 18727 18932 21228 26709 28398 35612 37454 37864 42456 53418 56181 56796 71224 74908 106836 112362 113592 137257 149816 213672 224724 274514 288713 411771 449448 543083 549028 577426 823542 866139 1086166 1098056 1154852 1453031 1629249 1647084 1732278 2172332 2309704 2906062 3258498 3294168 3464556 4344664 4359093 5812124 6516996 6929112 8372677 8718186 11624248 13033992 16745354 17436372 25118031 33490708 34872744 42137899 50236062 66981416 84275798 88634891 100472124 126413697 168551596 177269782 200944248 252827394 265904673 337103192 354539564 505654788 531809346 709079128 1011309576 1063618692 2127237384 2147483647 2570411839 4294967294 5140823678 6442450941 7711235517 8589934588 10281647356 12884901882 15422471034 17179869176 20563294712 25769803764 30844942068 51539607528 61689884136 62277025763 124554051526 130996502467 186831077289 249108103052 261993004934 373662154578 392989507401 498216206104 523986009868 659277479629 747324309156 785979014802 1047972019736 1318554959258 1494648618312 1571958029604 1977832438887 2637109918516 3143916059208 3798898571543 3955664877774 5274219837032 7597797143086 7911329755548 10164040101251 11396695714629 15195594286172 15822659511096 19119046909241 20328080202502 22793391429258 30391188572344 30492120303753 38238093818482 40215926257369 40656160405004 45586782858516 57357140727723 60984240607506 76476187636964 80431852514738 81312320810008 91173565717032 114714281455446 120647778772107 121968481215012 152952375273928 160863705029476 229428562910892 241295557544214 243936962430024 294757162936279 321727410058952 458857125821784 482591115088428 589514325872558 620006446176311 884271488808837 965182230176856 1166261861463701 1179028651745116 1240012892352622 1768542977617674 1860019338528933 2332523722927402 2358057303490232 2480025784705244 3120360311084057 3498785584391103 3537085955235348 3720038677057866 4665047445854804 4960051569410488 6240720622168114 6997571168782206 7074171910470696 7440077354115732 9330094891709608 9361080933252171 12481441244336228 13995142337564412 14880154708231464 17980186939113019 18722161866504342 24962882488672456 27990284675128824 35960373878226038 37444323733008684 53940560817339057 71920747756452076 74888647466017368 90490449021437653 107881121634678114 143841495512904152 180980898042875306 190341978976127477 215762243269356228 271471347064312959 361961796085750612 380683957952254954 431524486538712456 542942694128625918 571025936928382431 723923592171501224 761367915904509908 1085885388257251836 1142051873856764862 1522735831809019816 2171770776514503672 2284103747713529724 4568207495427059448 5519917390307696833 11039834780615393666 16559752170923090499 22079669561230787332 33119504341846180998 44159339122461574664 66239008683692361996 132478017367384723992
- Sum of all divisors σ(n): 349440332780902809600
- Sum of proper divisors (its aliquot sum) s(n): 216962315413518085608
- 132478017367384723992 is an abundant number, because the sum of its proper divisors (216962315413518085608) is greater than itself. Its abundance is 84484298046133361616
Bases of 132478017367384723992
- Binary: 11100101110100000000111011011100101101000101111111100010010000110002
- Hexadecimal: 0x72E8076E5A2FF1218
- Base-36: RYI7LT6P2ZCWO
Squares and roots of 132478017367384723992
- 132478017367384723992 squared (1324780173673847239922) is 17550425085593088556076503150678020416064
- 132478017367384723992 cubed (1324780173673847239923) is 2325045519294185716827298252493056274654036583304613643007488
-
The
square root of 132478017367384723992 is 11509909529.0703620713 -
The
cube root of 132478017367384723992 is 5097782.1622528317
Scales and comparisons
How big is 132478017367384723992?- 132,478,017,367,384,723,992 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 132,478,017,367,384,723,992 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 132478017367384723992 cubic inches would be around 424815.2 feet tall.
Recreational maths with 132478017367384723992
- 132478017367384723992 backwards is 299327483763710874231
- The number of decimal digits it has is: 21
- The sum of 132478017367384723992's digits is 96
- More coming soon!
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