132826579007232
132,826,579,007,232 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132826579007232 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
132826579007232 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 132826579007232:
28 × 3 × 11 × 17 × 19 × 312 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 17 × 19 × 31 × 31 × 37 × 37 × 37)See below for interesting mathematical facts about the number 132826579007232 from the Numbermatics database.
Names of 132826579007232
- Cardinal: 132826579007232 can be written as One hundred thirty-two trillion, eight hundred twenty-six billion, five hundred seventy-nine million, seven thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.32826579007232 × 1014
Factors of 132826579007232
Divisors of 132826579007232
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 17 19 22 24 31 32 33 34 37 38 44 48 51 57 62 64 66 68 74 76 88 93 96 102 111 114 124 128 132 136 148 152 176 186 187 192 204 209 222 228 248 256 264 272 296 304 323 341 352 372 374 384 407 408 418 444 456 496 527 528 544 561 589 592 608 627 629 646 682 703 704 744 748 768 814 816 836 888 912 961 969 992 1023 1054 1056 1088 1122 1147 1178 1184 1216 1221 1254 1258 1292 1364 1369 1406 1408 1488 1496 1581 1628 1632 1672 1767 1776 1824 1887 1922 1938 1984 2046 2108 2109 2112 2176 2244 2294 2356 2368 2432 2442 2508 2516 2584 2728 2738 2812 2816 2883 2976 2992 3162 3256 3264 3344 3441 3534 3552 3553 3648 3774 3844 3876 3968 4092 4107 4216 4218 4224 4352 4488 4588 4712 4736 4864 4884 5016 5032 5168 5456 5476 5624 5766 5797 5952 5984 6324 6479 6512 6528 6688 6882 6919 7068 7104 7106 7296 7548 7688 7733 7752 7936 8184 8214 8432 8436 8448 8976 9176 9424 9472 9768 10013 10032 10064 10336 10571 10659 10912 10952 11248 11532 11594 11904 11951 11968 12617 12648 12958 13024 13056 13376 13764 13838 14136 14208 14212 14592 15059 15096 15376 15466 15504 16337 16368 16428 16864 16872 17391 17952 18259 18352 18848 19437 19499 19536 20026 20064 20128 20672 20757 21142 21318 21793 21824 21904 22496 23064 23188 23199 23273 23808 23902 23936 25234 25296 25916 26011 26048 26752 27528 27676 28272 28416 28424 30039 30118 30192 30752 30932 31008 31713 32674 32736 32856 33728 33744 34782 35557 35853 35904 36518 36704 37696 37851 38874 38998 39072 40052 40128 40256 41344 41514 42284 42439 42636 43586 43648 43808 44992 45177 46128 46376 46398 46546 47804 47872 49011 50468 50592 50653 51832 52022 52096 53504 54777 55056 55352 56544 56848 58497 60078 60236 60384 61504 61864 62016 63426 65348 65379 65472 65712 67456 67488 69564 69819 71114 71706 71808 73036 73408 75392 75702 77748 77996 78033 78144 80104 80256 80512 82688 83028 84568 84878 85272 87172 87296 87616 89984 90354 92256 92752 92796 93092 95608 98022 100936 101184 101306 103664 104044 104192 106671 109554 110112 110143 110704 113088 113696 116994 120156 120472 120768 123008 123728 124032 126852 127317 130696 130758 130944 131424 131461 134912 134976 139128 139638 142228 143412 143616 146072 146816 150784 151404 151959 155496 155992 156066 156288 160208 160512 161024 166056 169136 169756 170544 174344 175232 179707 179968 180708 184512 185504 185592 186184 191216 196044 200849 201872 202368 202612 207328 208088 213342 214489 219108 220224 220286 221408 226176 227392 233988 239723 240312 240944 241536 246016 247456 248064 253704 254634 256003 261392 261516 261888 262848 262922 269952 278256 279276 284456 286121 286824 292144 293632 302808 303918 310403 310992 311984 312132 312576 320416 330429 332112 338272 339512 341088 348688 350464 359414 361416 369024 370481 371008 371184 372368 382432 391127 392088 394383 401698 403744 404736 405224 414656 416176 426684 428978 438216 440448 440572 442187 442816 452352 454784 466829 467976 479446 480624 481888 483072 494912 507408 509268 512006 522784 523032 525696 525844 539121 539904 556512 557183 558552 568912 572242 573648 584288 602547 604469 605616 607836 620806 621984 623968 624264 640832 643467 660858 664224 675583 676544 679024 682176 697376 718828 719169 721463 722832 738048 740962 742016 742368 744736 764864 768009 782254 784176 788766 803396 806341 807488 810448 829312 832352 853368 857956 858363 861101 876432 880896 881144 884374 885632 909568 931209 933658 935952 958892 961248 962407 963776 989824 1014816 1018536 1024012 1045568 1046064 1051392 1051688 1078242 1111443 1113024 1114366 1117104 1137824 1144484 1147296 1168576 1173381 1205094 1208938 1211232 1215672 1241612 1243968 1247936 1248528 1281664 1286934 1315609 1321716 1326561 1328448 1351166 1353088 1358048 1364352 1394752 1400487 1437656 1438338 1442926 1445664 1481924 1484032 1484736 1489472 1529728 1536018 1564508 1568352 1570243 1577532 1606792 1612682 1614976 1620896 1658624 1664704 1671549 1706736 1715912 1716726 1722202 1752864 1762288 1768748 1771264 1813407 1862418 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10173604397 10198600968 10250546304 10501785184 10527588096 11098477524 11114264832 11158146758 11456492928 11518086976 11808906384 12128066016 12172523736 12461448448 12565185792 12850868712 13198189488 13240288976 13265412864 13598134624 14023076331 14094501168 14475433632 14797970032 15722843159 15745208512 15752677776 16170754688 16230031648 16737220137 17134491616 17176591104 17277130464 17597585984 18205397342 18692172672 18697435108 18792668224 19197366528 19300578176 19860433464 20347208794 20397201936 20501092608 21003570368 22196955048 22316293516 22912985856 23036173952 23617812768 24256132032 24345047472 25701737424 26396378976 26480577952 27196269248 27308096013 28046152662 28189002336 28950867264 29595940064 30520813191 31445686318 31490417024 31505355552 32341509376 32460063296 33474440274 34268983232 34554260928 35195171968 36410794684 37384345344 37394870216 37585336448 38601156352 39720866928 40694417588 40794403872 42007140736 44393910096 44632587032 46072347904 47168529477 47235625536 48512264064 48690094944 51403474848 52792757952 52961155904 54392538496 54616192026 56092305324 56378004672 57901734528 59191880128 61041626382 62891372636 62980834048 63010711104 64920126592 66948880548 68537966464 69108521856 70390343936 72821589368 74789740432 75170672896 79441733856 81388835176 81588807744 84014281472 88787820192 89265174064 94337058954 94471251072 97024528128 97380189888 102806949696 105585515904 105922311808 108785076992 109232384052 112184610648 112756009344 115803469056 118383760256 122083252764 125782745272 126021422208 129840253184 133897761096 137075932928 138217043712 145643178736 149579480864 158883467712 162777670352 163177615488 172951274749 177575640384 178530348128 188674117908 188942502144 194760379776 205613899392 211171031808 211844623616 218464768104 224369221296 225512018688 236767520512 244166505528 251565490544 252042844416 267795522192 291286357472 299158961728 317766935424 325555340704 326355230976 345902549498 355151280768 357060696256 377348235816 389520759552 411227798784 436929536208 448738442592 488333011056 503130981088 518853824247 535591044384 582572714944 598317923456 635533870848 651110681408 691805098996 710302561536 714121392512 754696471632 873859072416 897476885184 976666022112 1006261962176 1037707648494 1071182088768 1165145429888 1196635846912 1302221362816 1383610197992 1428242785024 1509392943264 1747718144832 1794953770368 1953332044224 2012523924352 2075415296988 2142364177536 2330290859776 2604442725632 2767220395984 3018785886528 3495436289664 3589907540736 3906664088448 4025047848704 4150830593976 4284728355072 5534440791968 6037571773056 6990872579328 7813328176896 8301661187952 11068881583936 12075143546112 16603322375904 22137763167872 33206644751808 44275526335744 66413289503616 132826579007232
- Sum of all divisors σ(n): 456476107046400
- Sum of proper divisors (its aliquot sum) s(n): 323649528039168
- 132826579007232 is an abundant number, because the sum of its proper divisors (323649528039168) is greater than itself. Its abundance is 190822949031936
Bases of 132826579007232
- Binary: 111100011001110000110010000111011110111000000002
- Hexadecimal: 0x78CE190EF700
- Base-36: 1B2ZORNRPC
Squares and roots of 132826579007232
- 132826579007232 squared (1328265790072322) is 17642900090764444638708301824
- 132826579007232 cubed (1328265790072323) is 2343446062822624129650923173808518534791168
-
The
square root of 132826579007232 is 11525041.3885257697 -
The
cube root of 132826579007232 is 51022.4915542409
Scales and comparisons
How big is 132826579007232?- 132,826,579,007,232 seconds is equal to 4,223,474 years, 18 weeks, 2 days, 10 hours, 27 minutes, 12 seconds.
-
To count from 1 to 132,826,579,007,232 would take you about ten million, five hundred fifty-eight thousand, six hundred eighty-five 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 132826579007232 cubic inches would be around 4251.9 feet tall.
Recreational maths with 132826579007232
- 132826579007232 backwards is 232700975628231
- 132826579007232 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132826579007232's digits is 57
- More coming soon!
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"Number 132826579007232 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 132826579007232 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/132826579007232/
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The information we have on file for 132826579007232 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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