13138067146400
13,138,067,146,400 is an even composite number composed of seven prime numbers multiplied together.
13138067146400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 13138067146400:
25 × 52 × 7 × 17 × 97 × 431 × 3301
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 97 × 431 × 3301)See below for interesting mathematical facts about the number 13138067146400 from the Numbermatics database.
Names of 13138067146400
- Cardinal: 13138067146400 can be written as Thirteen trillion, one hundred thirty-eight billion, sixty-seven million, one hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.31380671464 × 1013
Factors of 13138067146400
Divisors of 13138067146400
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 68 70 80 85 97 100 112 119 136 140 160 170 175 194 200 224 238 272 280 340 350 388 400 425 431 476 485 544 560 595 679 680 700 776 800 850 862 952 970 1120 1190 1358 1360 1400 1552 1649 1700 1724 1904 1940 2155 2380 2425 2716 2720 2800 2975 3017 3104 3298 3301 3395 3400 3448 3808 3880 4310 4760 4850 5432 5600 5950 6034 6596 6602 6790 6800 6896 7327 7760 8245 8620 9520 9700 10775 10864 11543 11900 12068 13192 13204 13580 13600 13792 14654 15085 15520 16490 16505 16975 17240 19040 19400 21550 21728 23086 23107 23800 24136 26384 26408 27160 29308 30170 32980 33010 33950 34480 36635 38800 41225 41807 43100 46172 46214 47600 48272 51289 52768 52816 54320 56117 57715 58616 60340 65960 66020 67900 68960 73270 75425 77600 82450 82525 83614 86200 92344 92428 95200 96544 102578 105632 108640 112234 115430 115535 117232 120680 131920 132040 135800 146540 150850 164900 165050 167228 172400 183175 184688 184856 205156 209035 224468 230860 231070 234464 241360 256445 263840 264080 271600 280585 288575 292649 293080 301700 320197 329800 330100 334456 344800 366350 369376 369712 392819 410312 418070 448936 461720 462140 482720 512890 528160 543200 561170 577150 577675 585298 586160 603400 640394 659600 660200 668912 710719 732700 739424 785638 820624 836140 897872 923440 924280 1025780 1045175 1122340 1154300 1155350 1170596 1172320 1206800 1280788 1282225 1319200 1320400 1337824 1402925 1421438 1422731 1463245 1465400 1571276 1600985 1641248 1672280 1795744 1846880 1848560 1964095 2051560 2090350 2241379 2244680 2308600 2310700 2341192 2413600 2561576 2564450 2640800 2805850 2842876 2845462 2926490 2930800 3142552 3201970 3344560 3553595 3697120 3928190 4103120 4180700 4482758 4489360 4617200 4621400 4682384 4975033 5123152 5128900 5443349 5611700 5685752 5690924 5852980 5861600 6285104 6403940 6689120 7107190 7113655 7316225 7856380 8004925 8206240 8361400 8965516 8978720 9234400 9242800 9364768 9820475 9950066 9959117 10246304 10257800 10886698 11206895 11223400 11371504 11381848 11705960 12570208 12807880 14214380 14227310 14632450 15712760 16009850 16722800 17767975 17931032 18485600 19640950 19900132 19918234 20515600 21773396 22413790 22446800 22743008 22763696 23411920 24186427 24875165 25615760 27216745 28428760 28454620 29264900 31425520 32019700 33445600 35535950 35568275 35862064 38103443 39281900 39800264 39836468 41031200 43546792 44827580 44893600 45527392 46823840 48372854 49750330 49795585 51231520 54433490 56034475 56857520 56909240 58529800 62851040 64039400 71071900 71136550 71724128 76206886 78563800 79600528 79672936 87093584 89655160 96745708 99500660 99591170 108866980 112068950 113715040 113818480 117059600 120932135 124375825 128078800 136083725 138004907 142143800 142273100 152413772 157127600 159201056 159345872 169304989 174187168 179310320 190517215 193491416 199001320 199182340 217733960 224137900 227636960 234119200 241864270 248751650 248977925 256157600 272167450 276009814 284287600 284546200 304827544 314255200 318691744 338609978 358620640 381034430 386982832 398002640 398364680 435467920 448275800 483728540 497503300 497955850 544334900 552019628 568575200 569092400 604660675 609655088 677219956 690024535 762068860 773965664 796005280 796729360 846524945 870935840 896551600 952586075 966034349 967457080 995006600 995911700 1088669800 1104039256 1138184800 1209321350 1219310176 1354439912 1380049070 1524137720 1593458720 1693049890 1793103200 1905172150 1932068698 1934914160 1990013200 1991823400 2177339600 2208078512 2346083419 2418642700 2708879824 2760098140 3048275440 3386099780 3450122675 3810344300 3864137396 3869828320 3980026400 3983646800 4232624725 4354679200 4416157024 4692166838 4830171745 4837285400 5417759648 5520196280 6096550880 6772199560 6900245350 7620688600 7728274792 7967293600 8465249450 9384333676 9660343490 9674570800 11040392560 11730417095 13544399120 13800490700 15241377200 15456549584 16422583933 16930498900 18768667352 19320686980 19349141600 22080785120 23460834190 24150858725 27088798240 27600981400 30482754400 30913099168 32845167866 33860997800 37537334704 38641373960 46921668380 48301717450 55201962800 58652085475 65690335732 67721995600 75074669408 77282747920 82112919665 93843336760 96603434900 110403925600 117304170950 131380671464 135443991200 154565495840 164225839330 187686673520 193206869800 234608341900 262761342928 328451678660 375373347040 386413739600 410564598325 469216683800 525522685856 656903357320 772827479200 821129196650 938433367600 1313806714640 1642258393300 1876866735200 2627613429280 3284516786600 6569033573200 13138067146400
- Sum of all divisors σ(n): 39314397717504
- Sum of proper divisors (its aliquot sum) s(n): 26176330571104
- 13138067146400 is an abundant number, because the sum of its proper divisors (26176330571104) is greater than itself. Its abundance is 13038263424704
Bases of 13138067146400
- Binary: 101111110010111100011101001101000110101000002
- Hexadecimal: 0xBF2F1D346A0
- Base-36: 4NNJLYPI8
Squares and roots of 13138067146400
- 13138067146400 squared (131380671464002) is 172608808343315039032960000
- 13138067146400 cubed (131380671464003) is 2267746114074561526383965402745344000000
-
The
square root of 13138067146400 is 3624647.1754365279 -
The
cube root of 13138067146400 is 23596.2954699463
Scales and comparisons
How big is 13138067146400?- 13,138,067,146,400 seconds is equal to 417,749 years, 46 weeks, 4 days, 8 hours, 13 minutes, 20 seconds.
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To count from 1 to 13,138,067,146,400 would take you about one million, forty-four thousand, three hundred seventy-four 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 13138067146400 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138067146400
- 13138067146400 backwards is 00464176083131
- The number of decimal digits it has is: 14
- The sum of 13138067146400's digits is 44
- More coming soon!
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The information we have on file for 13138067146400 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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