13442135728800
13,442,135,728,800 is an even composite number composed of eight prime numbers multiplied together.
13442135728800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13442135728800:
25 × 3 × 52 × 17 × 61 × 73 × 241 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 61 × 73 × 241 × 307)See below for interesting mathematical facts about the number 13442135728800 from the Numbermatics database.
Names of 13442135728800
- Cardinal: 13442135728800 can be written as Thirteen trillion, four hundred forty-two billion, one hundred thirty-five million, seven hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.34421357288 × 1013
Factors of 13442135728800
Divisors of 13442135728800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 61 68 73 75 80 85 96 100 102 120 122 136 146 150 160 170 183 200 204 219 240 241 244 255 272 292 300 305 307 340 365 366 400 408 425 438 480 482 488 510 544 584 600 610 614 680 723 730 732 800 816 850 876 915 921 964 976 1020 1037 1095 1168 1200 1205 1220 1228 1241 1275 1360 1446 1460 1464 1525 1535 1632 1700 1752 1825 1830 1842 1928 1952 2040 2074 2190 2336 2400 2410 2440 2456 2482 2550 2720 2892 2920 2928 3050 3070 3111 3400 3504 3615 3650 3660 3684 3723 3856 4080 4097 4148 4380 4453 4575 4605 4820 4880 4912 4964 5100 5185 5219 5475 5784 5840 5856 6025 6100 6140 6205 6222 6800 7008 7230 7300 7320 7368 7446 7675 7712 8160 8194 8296 8760 8906 9150 9210 9640 9760 9824 9928 10200 10370 10438 10950 11568 11680 12050 12200 12280 12291 12410 12444 13359 13600 14460 14600 14640 14701 14736 14892 15350 15555 15657 16388 16592 17520 17593 17812 18075 18300 18420 18615 18727 19280 19856 20400 20485 20740 20876 21900 22265 22411 23025 23136 24100 24400 24560 24582 24820 24888 25925 26095 26718 28920 29200 29280 29402 29472 29784 30700 31025 31110 31314 32776 33184 35040 35186 35624 36150 36600 36840 37230 37454 38560 39712 40800 40970 41480 41752 43800 44103 44530 44822 46050 48200 48800 49120 49164 49640 49776 51850 52190 52779 53436 56181 57840 58400 58804 59568 61400 61455 62050 62220 62628 65552 66795 67233 70372 71248 72300 73200 73505 73680 73987 74460 74908 75701 77775 78285 81940 82960 83504 87600 87965 88206 89060 89644 92100 93075 93635 96400 98328 99280 99552 102425 103700 104380 105558 106872 111325 112055 112362 115680 117608 119136 122800 122910 124100 124440 125256 130475 131104 133590 134466 140744 142496 144600 146400 147010 147360 147974 148920 149816 151402 155550 156570 163880 165920 167008 175200 175930 176412 178120 179288 184200 186150 187270 192800 196656 198560 204850 207400 208760 211116 213744 220515 221961 222650 224110 224724 227103 235216 245600 245820 248200 248880 249917 250512 260950 263895 267180 268932 280905 281488 289200 294020 295948 297840 299081 299632 302804 307275 311100 313140 318359 327760 333975 336165 351860 352824 356240 358576 367525 368400 369935 372300 374540 378505 380987 391425 393312 409700 414800 417520 422232 427488 439825 441030 443922 445300 448220 449448 454206 468175 470432 491640 496400 497760 499834 501024 521900 527790 534360 537864 560275 561810 562976 578400 588040 591896 595680 598162 599264 605608 614550 622200 626280 636718 655520 667950 672330 703720 705648 712480 717152 735050 736800 739870 744600 749080 749751 757010 761974 782850 819400 829600 835040 844464 879650 882060 887844 890600 896440 897243 898896 908412 936350 955077 983280 992800 999668 1043800 1055580 1068720 1073173 1075728 1102575 1109805 1120550 1123620 1135515 1142961 1176080 1183792 1196324 1211216 1229100 1244400 1249585 1252560 1257779 1273436 1319475 1335900 1344660 1367071 1404525 1407440 1411296 1470100 1479740 1489200 1495405 1498160 1499502 1514020 1523948 1565700 1591795 1638800 1680825 1688928 1759300 1764120 1775688 1781200 1792880 1794486 1797792 1816824 1849675 1872700 1892525 1904935 1910154 1966560 1999336 2087600 2111160 2137440 2146346 2151456 2205150 2219610 2241100 2247240 2271030 2285922 2352160 2367584 2392648 2422432 2458200 2488800 2499170 2505120 2515558 2546872 2638950 2671800 2689320 2734142 2809050 2814880 2940200 2959480 2978400 2990810 2996320 2999004 3028040 3047896 3131400 3183590 3219519 3277600 3361650 3518600 3528240 3551376 3562400 3585760 3588972 3633648 3699350 3745400 3748755 3773337 3785050 3809870 3820308 3998672 4101213 4175200 4222320 4292692 4410300 4439220 4482200 4486215 4494480 4513207 4542060 4571844 4775385 4785296 4916400 4998340 5031116 5093744 5277900 5343600 5365865 5378640 5401051 5468284 5549025 5618100 5677575 5714805 5880400 5918960 5981620 5998008 6056080 6095792 6247925 6262800 6288895 6367180 6439038 6723300 6835355 7037200 7056480 7102752 7177944 7267296 7398700 7477025 7490800 7497510 7546674 7570100 7619740 7640616 7958975 7997344 8202426 8444640 8585384 8820600 8878440 8964400 8972430 8988960 9026414 9084120 9143688 9524675 9550770 9570592 9832800 9996680 10062232 10187488 10555800 10687200 10731730 10757280 10802102 10936568 11098050 11236200 11355150 11429610 11760800 11837920 11963240 11996016 12112160 12191584 12495850 12525600 12577790 12734360 12878076 13446600 13539621 13670710 14074400 14355888 14797400 14954050 14981600 14995020 15093348 15140200 15239480 15281232 15917950 16097595 16203153 16404852 17170768 17641200 17756880 17928800 17944860 18052828 18168240 18243941 18287376 18743775 18866685 19049350 19101540 19993360 20124464 20506065 21111600 21463460 21604204 21873136 22196100 22431075 22472400 22566035 22710300 22859220 23240207 23876925 23926480 23992032 24991700 25155580 25468720 25756152 26829325 26893200 27005255 27079242 27341420 28574025 28711776 29594800 29908100 29990040 30186696 30280400 30478960 30562464 31444475 31835900 32195190 32406306 32809704 34176775 34341536 35282400 35513760 35889720 36105656 36336480 36487882 36574752 37487550 37733370 38098700 38203080 39986720 40248928 41012130 42223200 42926920 43208408 43746272 44392200 44862150 44944800 45132070 45420600 45718440 46480414 47753850 47852960 49983400 50311160 50937440 51512304 53658650 53786400 54010510 54158484 54682840 54731823 57148050 59189600 59816200 59980080 60373392 60560800 60957920 62888950 63671800 64390380 64812612 65619408 67698105 68353550 69720621 71779440 72211312 72975764 74975100 75466740 76197400 76406160 76724519 80487975 81015765 82024260 85853840 86416816 88784400 89724300 90264140 90841200 91219705 91436880 91817867 92960828 94333425 95507700 99966800 100622320 102530325 103024608 107317300 108021020 108316968 109365680 109463646 112830175 114296100 116201035 119632400 119960160 120746784 125777900 127343600 128780760 129625224 131238816 135026275 135396210 136707100 139441242 143558880 144422624 145951528 149950200 150933480 152394800 152812320 153449038 160975950 162031530 164048520 171707680 172833632 177568800 179448600 180528280 181682400 182439410 182873760 183635734 185921656 188666850 191015400 199933600 201244640 205060650 214634600 216042040 216633936 218731360 218927292 225660350 228592200 230173557 232402070 239264800 251555800 254687200 257561520 259250448 270052550 270792420 273414200 273659115 275453601 278882484 291903056 299900400 301866960 304789600 306898076 321951900 324063060 328097040 329464111 338490525 348603105 358897200 361056560 364878820 367271468 371843312 377333700 382030800 383622595 405078825 410121300 429269200 432084080 433267872 437854584 451320700 456098525 457184400 459089335 460347114 464804140 503111600 515123040 518500896 540105100 541584840 546828400 547318230 550907202 557764968 581005175 583806112 599800800 603733920 613796152 643903800 648126120 656194080 658928222 676981050 697206210 717794400 722113120 729757640 734542936 743686624 754667400 764061600 767245190 810157650 820242600 858538400 864168160 875709168 902641400 912197050 914368800 918178670 920694228 929608280 988392333 1006223200 1080210200 1083169680 1093656800 1094636460 1101814404 1115529936 1150867785 1162010350 1227592304 1287807600 1296252240 1317856444 1353962100 1368295575 1377268005 1394412420 1459515280 1469085872 1509334800 1534490380 1620315300 1640485200 1647320555 1743015525 1751418336 1805282800 1824394100 1836357340 1841388456 1859216560 1918112975 1976784666 2160420400 2166339360 2189272920 2203628808 2231059872 2295446675 2301735570 2324020700 2455184608 2575615200 2592504480 2635712888 2707924200 2736591150 2754536010 2788824840 2919030560 2938171744 3018669600 3068980760 3240630600 3280970400 3294641110 3486031050 3610565600 3648788200 3672714680 3682776912 3718433120 3836225950 3953569332 4320840800 4378545840 4407257616 4590893350 4603471140 4648041400 4941961665 5271425776 5415848400 5473182300 5509072020 5577649680 5600889887 5754338925 6137961520 6481261200 6589282220 6886340025 6972062100 7297576400 7345429360 7365553824 7672451900 7907138664 8236602775 8757091680 8814515232 9181786700 9206942280 9296082800 9883923330 10542851552 10831696800 10946364600 11018144040 11155299360 11201779774 11508677850 12275923040 12962522400 13178564440 13772680050 13944124200 14595152800 14690858720 15344903800 15814277328 16473205550 16802669661 18363573400 18413884560 18592165600 19767846660 21892729200 22036288080 22403559548 23017355700 24709808325 26357128880 27545360100 27888248400 28004449435 30689807600 31628554656 32946411100 33605339322 36727146800 36827769120 39535693320 43785458400 44072576160 44807119096 46034711400 49419616650 52714257760 55090720200 55776496800 56008898870 61379615200 65892822200 67210678644 73454293600 79071386640 84013348305 89614238192 92069422800 98839233300 110181440400 112017797740 131785644400 134421357288 140022247175 158142773280 168026696610 179228476384 184138845600 197678466600 220362880800 224035595480 263571288800 268842714576 280044494350 336053393220 395356933200 420066741525 448071190960 537685429152 560088988700 672106786440 790713866400 840133483050 896142381920 1120177977400 1344213572880 1680266966100 2240355954800 2688427145760 3360533932200 4480711909600 6721067864400 13442135728800
- Sum of all divisors σ(n): 48086617759488
- Sum of proper divisors (its aliquot sum) s(n): 34644482030688
- 13442135728800 is an abundant number, because the sum of its proper divisors (34644482030688) is greater than itself. Its abundance is 21202346301888
Bases of 13442135728800
- Binary: 110000111001101111011011100110100010101000002
- Hexadecimal: 0xC39BDB9A2A0
- Base-36: 4RJ8CJP9C
Squares and roots of 13442135728800
- 13442135728800 squared (134421357288002) is 180691012951481507149440000
- 13442135728800 cubed (134421357288003) is 2428873121068173108145960064911872000000
-
The
square root of 13442135728800 is 3666351.8282892601 -
The
cube root of 13442135728800 is 23776.9471297959
Scales and comparisons
How big is 13442135728800?- 13,442,135,728,800 seconds is equal to 427,418 years, 17 weeks, 3 days, 15 hours, 20 minutes.
-
To count from 1 to 13,442,135,728,800 would take you about one million, sixty-eight thousand, five hundred forty-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 13442135728800 cubic inches would be around 1981.4 feet tall.
Recreational maths with 13442135728800
- 13442135728800 backwards is 00882753124431
- 13442135728800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13442135728800's digits is 48
- More coming soon!
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The information we have on file for 13442135728800 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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