132731680224
132,731,680,224 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132731680224 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
132731680224 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 132731680224:
25 × 3 × 11 × 13 × 31 × 61 × 5113
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 31 × 61 × 5113)See below for interesting mathematical facts about the number 132731680224 from the Numbermatics database.
Names of 132731680224
- Cardinal: 132731680224 can be written as One hundred thirty-two billion, seven hundred thirty-one million, six hundred eighty thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.32731680224 × 1011
Factors of 132731680224
Divisors of 132731680224
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 31 32 33 39 44 48 52 61 62 66 78 88 93 96 104 122 124 132 143 156 176 183 186 208 244 248 264 286 312 341 352 366 372 403 416 429 488 496 528 572 624 671 682 732 744 793 806 858 976 992 1023 1056 1144 1209 1248 1342 1364 1464 1488 1586 1612 1716 1891 1952 2013 2046 2288 2379 2418 2684 2728 2928 2976 3172 3224 3432 3782 4026 4092 4433 4576 4758 4836 5113 5368 5456 5673 5856 6344 6448 6864 7564 8052 8184 8723 8866 9516 9672 10226 10736 10912 11346 12688 12896 13299 13728 15128 15339 16104 16368 17446 17732 19032 19344 20452 20801 21472 22692 24583 25376 26169 26598 30256 30678 32208 32736 34892 35464 38064 38688 40904 41602 45384 49166 52338 53196 56243 60512 61356 62403 64416 66469 69784 70928 73749 76128 81808 83204 90768 98332 104676 106392 112486 122712 124806 132938 139568 141856 147498 158503 163616 166408 168729 181536 196664 199407 209352 212784 224972 245424 249612 265876 270413 279136 294996 311893 317006 332816 337458 393328 398814 418704 425568 449944 475509 490848 499224 531752 540826 589992 623786 634012 665632 674916 731159 786656 797628 811239 837408 899888 935679 951018 998448 1063504 1081652 1179984 1247572 1268024 1349832 1462318 1595256 1622478 1743533 1799776 1871358 1902036 1996896 2060539 2127008 2163304 2193477 2359968 2495144 2536048 2699664 2924636 3190512 3244956 3430823 3487066 3742716 3804072 4054609 4121078 4326608 4386954 4990288 5072096 5230599 5399328 5849272 6181617 6381024 6489912 6861646 6974132 7485432 7608144 8109218 8242156 8653216 8773908 9668683 9980576 10292469 10461198 11698544 12163827 12363234 12979824 13723292 13948264 14970864 15216288 16218436 16484312 17547816 19337366 20584938 20922396 22665929 23397088 24327654 24726468 25959648 27446584 27896528 29006049 29941728 32436872 32968624 35095632 38674732 41169876 41844792 44600699 45331858 48655308 49452936 54893168 55793056 58012098 64873744 65937248 67997787 70191264 77349464 82339752 83689584 89201398 90663716 97310616 98905872 106355513 109786336 116024196 125692879 129747488 133802097 135995574 154698928 164679504 167379168 178402796 181327432 194621232 197811744 212711026 232048392 251385758 267604194 271991148 309397856 319066539 329359008 356805592 362654864 377078637 389242464 425422052 464096784 502771516 535208388 543982296 638133078 713611184 725309728 754157274 850844104 928193568 1005543032 1070416776 1087964592 1276266156 1382621669 1427222368 1508314548 1701688208 2011086064 2140833552 2175929184 2552532312 2765243338 3016629096 3403376416 4022172128 4147865007 4281667104 5105064624 5530486676 6033258192 8295730014 10210129248 11060973352 12066516384 16591460028 22121946704 33182920056 44243893408 66365840112 132731680224
- Sum of all divisors σ(n): 429548507136
- Sum of proper divisors (its aliquot sum) s(n): 296816826912
- 132731680224 is an abundant number, because the sum of its proper divisors (296816826912) is greater than itself. Its abundance is 164085146688
Bases of 132731680224
- Binary: 11110111001110110110010110101111000002
- Hexadecimal: 0x1EE76CB5E0
- Base-36: 1OZ50JXC
Squares and roots of 132731680224
- 132731680224 squared (1327316802242) is 17617698935086192690176
- 132731680224 cubed (1327316802243) is 2338426781334565862030087138279424
-
The
square root of 132731680224 is 364323.5927359083 -
The
cube root of 132731680224 is 5101.0337546145
Scales and comparisons
How big is 132731680224?- 132,731,680,224 seconds is equal to 4,220 years, 23 weeks, 5 days, 7 hours, 10 minutes, 24 seconds.
-
To count from 1 to 132,731,680,224 would take you about eight thousand, four hundred forty 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 132731680224 cubic inches would be around 425.1 feet tall.
Recreational maths with 132731680224
- 132731680224 backwards is 422086137231
- 132731680224 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132731680224's digits is 39
- More coming soon!
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