132814144320
132,814,144,320 is an even composite number composed of eight prime numbers multiplied together.
132814144320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 132814144320:
26 × 3 × 5 × 11 × 13 × 29 × 73 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 29 × 73 × 457)See below for interesting mathematical facts about the number 132814144320 from the Numbermatics database.
Names of 132814144320
- Cardinal: 132814144320 can be written as One hundred thirty-two billion, eight hundred fourteen million, one hundred forty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3281414432 × 1011
Factors of 132814144320
Divisors of 132814144320
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 29 30 32 33 39 40 44 48 52 55 58 60 64 65 66 73 78 80 87 88 96 104 110 116 120 130 132 143 145 146 156 160 165 174 176 192 195 208 219 220 232 240 260 264 286 290 292 312 319 320 330 348 352 365 377 390 416 429 435 438 440 457 464 480 520 528 572 580 584 624 638 660 696 704 715 730 754 780 803 832 858 870 876 880 914 928 949 957 960 1040 1056 1095 1131 1144 1160 1168 1248 1276 1320 1371 1392 1430 1460 1508 1560 1595 1606 1716 1740 1752 1760 1828 1856 1885 1898 1914 2080 2112 2117 2145 2190 2262 2285 2288 2320 2336 2409 2496 2552 2640 2742 2784 2847 2860 2920 3016 3120 3190 3212 3432 3480 3504 3520 3656 3770 3796 3828 4015 4147 4160 4234 4290 4380 4524 4570 4576 4640 4672 4745 4785 4818 5027 5104 5280 5484 5568 5655 5694 5720 5840 5941 6032 6240 6351 6380 6424 6855 6864 6960 7008 7312 7540 7592 7656 8030 8294 8468 8580 8760 9048 9140 9152 9280 9490 9570 9636 10054 10208 10439 10560 10585 10968 11310 11388 11440 11680 11882 12045 12064 12441 12480 12702 12760 12848 13253 13710 13728 13920 14016 14235 14624 15080 15081 15184 15312 16060 16588 16936 17160 17520 17823 18096 18280 18980 19140 19272 20108 20416 20735 20878 21170 21936 22620 22776 22880 23287 23360 23764 24090 24128 24882 25135 25404 25520 25696 26506 27420 27456 27521 27840 28470 29248 29705 30160 30162 30368 30624 31317 31755 32120 33176 33361 33872 34320 35040 35646 36192 36560 37960 38280 38544 39759 40216 41470 41756 42340 43872 45240 45552 45760 46574 47528 48180 49764 50270 50808 51040 51392 52195 53012 54840 55042 56940 59410 60320 60324 60736 61248 62205 62634 63510 64240 65351 66265 66352 66722 67744 68640 69861 70080 71292 72384 73120 75405 75920 76560 77088 79518 80432 82563 82940 83512 84680 87744 89115 90480 91104 93148 95056 96360 99528 100083 100540 101616 102080 104390 106024 109680 110084 113880 116435 118820 120640 120648 124410 125268 127020 128480 130702 132530 132704 133444 135488 137280 137605 139722 142584 145783 146240 150810 151840 153120 154176 156585 159036 160864 165126 165880 166805 167024 169360 172289 178230 180960 182208 186296 190112 192720 196053 198795 199056 200166 201080 203232 208780 212048 219360 220168 227760 232870 237640 241296 248820 250536 254040 256960 261404 265060 265408 266888 275210 279444 285168 291566 301620 302731 303680 306240 313170 318072 321728 326755 330252 331760 333610 334048 338720 344578 349305 356460 361920 366971 372592 380224 385440 392106 397590 398112 400332 402160 406464 412815 417560 424096 433693 437349 438720 440336 455520 465740 475280 482592 497640 500415 501072 508080 516867 522808 530120 533776 550420 558888 570336 583132 603240 605462 626340 636144 653510 660504 663520 667220 668096 677440 689156 698610 712920 728915 733942 745184 770880 784212 795180 796224 800664 804320 825630 835120 848192 861445 867386 874698 880672 908193 911040 931480 950560 965184 967469 980265 995280 1000830 1002144 1016160 1033734 1045616 1060240 1067552 1100840 1100913 1117776 1140672 1166264 1206480 1210924 1252680 1272288 1301079 1307020 1321008 1327040 1334440 1378312 1397220 1425840 1457830 1467884 1490368 1513655 1568424 1590360 1601328 1608640 1651260 1670240 1722890 1734772 1749396 1761344 1816386 1834855 1862960 1895179 1901120 1934938 1960530 1990560 2001660 2004288 2032320 2067468 2091232 2120480 2135104 2168465 2186745 2201680 2201826 2235552 2332528 2412960 2421848 2505360 2544576 2584335 2602158 2614040 2642016 2668880 2756624 2794440 2851680 2902407 2915660 2935768 3027310 3136848 3180720 3202656 3302520 3340480 3445780 3469544 3498792 3632772 3669710 3725920 3790358 3869876 3921060 3981120 4003320 4134936 4182464 4240960 4336930 4373490 4403360 4403652 4471104 4540965 4665056 4770623 4825920 4837345 4843696 5010720 5168670 5204316 5228080 5284032 5337760 5504565 5513248 5588880 5685537 5703360 5804814 5831320 5871536 6054620 6273696 6361440 6405312 6505395 6605040 6891560 6939088 6997584 7265544 7339420 7451840 7580716 7739752 7842120 8006640 8269872 8673860 8746980 8806720 8807304 9081930 9330112 9475895 9541246 9674690 9687392 10021440 10337340 10408632 10456160 10642159 10675520 11009130 11026496 11177760 11371074 11609628 11662640 11743072 12109240 12547392 12577097 12722880 13010790 13210080 13783120 13878176 13995168 14311869 14512035 14531088 14678840 15161432 15479504 15684240 16013280 16539744 17347720 17493960 17614608 18163860 18951790 19082492 19349380 19374784 20674680 20817264 20912320 21284318 22018260 22355520 22742148 23219256 23325280 23486144 23853115 24218480 25154194 26021580 26420160 27566240 27756352 27990336 28427685 28623738 29024070 29062176 29357680 30322864 30959008 31368480 31926477 32026560 33079488 34695440 34987920 35229216 36327720 37731291 37903580 38164984 38698760 41349360 41634528 42568636 44036520 45484296 46438512 46650560 47706230 48436960 50308388 52043160 53210795 55132480 56855370 57247476 58048140 58124352 58715360 60645728 61918016 62736960 62885485 63852954 69390880 69975840 70458432 71559345 72655440 75462582 75807160 76329968 77397520 82698720 83269056 85137272 88073040 90968592 92877024 95412460 96873920 100616776 104086320 106421590 113710740 114494952 116096280 117430720 121291456 125770970 127705908 138348067 138781760 139951680 143118690 145310880 150925164 151614320 152659936 154795040 159632385 165397440 170274544 176146080 181937184 185754048 188656455 190824920 201233552 208172640 212843180 227421480 228989904 232192560 251541940 255411816 276696134 286237380 290621760 301850328 303228640 305319872 309590080 319264770 340549088 352292160 363874368 377312910 381649840 402467104 415044201 416345280 425686360 454842960 457979808 464385120 503083880 510823632 553392268 572474760 603700656 606457280 638529540 681098176 691740335 754625820 763299680 804934208 830088402 851372720 909685920 915959616 928770240 1006167760 1021647264 1106784536 1144949520 1207401312 1277059080 1383480670 1509251640 1526599360 1660176804 1702745440 1819371840 2012335520 2043294528 2075221005 2213569072 2289899040 2414802624 2554118160 2766961340 3018503280 3320353608 3405490880 4024671040 4150442010 4427138144 4579798080 5108236320 5533922680 6037006560 6640707216 8300884020 8854276288 10216472640 11067845360 12074013120 13281414432 16601768040 22135690720 26562828864 33203536080 44271381440 66407072160 132814144320
- Sum of all divisors σ(n): 520646192640
- Sum of proper divisors (its aliquot sum) s(n): 387832048320
- 132814144320 is an abundant number, because the sum of its proper divisors (387832048320) is greater than itself. Its abundance is 255017904000
Bases of 132814144320
- Binary: 11110111011000101011100000011010000002
- Hexadecimal: 0x1EEC570340
- Base-36: 1P0I41MO
Squares and roots of 132814144320
- 132814144320 squared (1328141443202) is 17639596931453788262400
- 132814144320 cubed (1328141443203) is 2342787972600732581693115629568000
-
The
square root of 132814144320 is 364436.7494092767 -
The
cube root of 132814144320 is 5102.0899331437
Scales and comparisons
How big is 132814144320?- 132,814,144,320 seconds is equal to 4,223 years, 4 weeks, 17 hours, 52 minutes.
-
To count from 1 to 132,814,144,320 would take you about eight thousand, four hundred forty-six 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 132814144320 cubic inches would be around 425.2 feet tall.
Recreational maths with 132814144320
- 132814144320 backwards is 023441418231
- 132814144320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 132814144320's digits is 33
- More coming soon!
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The information we have on file for 132814144320 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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