13138865143040
13,138,865,143,040 is an even composite number composed of six prime numbers multiplied together.
What does the number 13138865143040 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
13138865143040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 13138865143040:
28 × 5 × 74 × 132 × 41 × 617
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 41 × 617)See below for interesting mathematical facts about the number 13138865143040 from the Numbermatics database.
Names of 13138865143040
- Cardinal: 13138865143040 can be written as Thirteen trillion, one hundred thirty-eight billion, eight hundred sixty-five million, one hundred forty-three thousand and forty.
Scientific notation
- Scientific notation: 1.313886514304 × 1013
Factors of 13138865143040
Divisors of 13138865143040
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 41 49 52 56 64 65 70 80 82 91 98 104 112 128 130 140 160 164 169 182 196 205 208 224 245 256 260 280 287 320 328 338 343 364 392 410 416 448 455 490 520 533 560 574 617 637 640 656 676 686 728 784 820 832 845 896 910 980 1040 1066 1120 1148 1183 1234 1274 1280 1312 1352 1372 1435 1456 1568 1640 1664 1690 1715 1792 1820 1960 2009 2080 2132 2240 2296 2366 2401 2468 2548 2624 2665 2704 2744 2870 2912 3085 3136 3185 3280 3328 3380 3430 3640 3731 3920 4018 4160 4264 4319 4459 4480 4592 4732 4802 4936 5096 5248 5330 5408 5488 5740 5824 5915 6170 6272 6370 6560 6760 6860 6929 7280 7462 7840 8021 8036 8281 8320 8528 8638 8918 8960 9184 9464 9604 9872 10045 10192 10496 10660 10816 10976 11480 11648 11830 12005 12340 12544 12740 13120 13520 13720 13858 14063 14560 14924 15680 16042 16072 16562 16640 17056 17276 17836 18368 18655 18928 19208 19744 20090 20384 21320 21595 21632 21952 22295 22960 23296 23660 24010 24680 25297 25480 26117 26240 27040 27440 27716 28126 29120 29848 30233 31213 31360 32084 32144 33124 34112 34552 34645 35672 36736 37310 37856 38416 39488 40105 40180 40768 41405 42640 43190 43264 43904 44590 45920 47320 48020 48503 49360 50594 50960 52234 52480 54080 54880 55432 56147 56252 57967 58240 59696 60466 62426 62720 64168 64288 66248 68224 69104 69290 70315 71344 73472 74620 75712 76832 78976 80210 80360 81536 82810 85280 86380 87808 89180 91840 94640 96040 97006 98441 98720 101188 101920 104273 104468 108160 109760 110864 112294 112504 115934 116480 119392 120932 124852 126485 128336 128576 130585 132496 136448 138208 138580 140630 142688 149240 151165 151424 153664 156065 157952 160420 160720 163072 165620 170560 172760 177079 178360 182819 183680 189280 192080 194012 196882 197440 202376 203840 208546 208936 211631 216320 219520 221728 224588 225008 231868 238784 241864 242515 249704 252970 256672 257152 261170 264992 276416 277160 280735 281260 285376 289835 298480 302330 302848 307328 312130 320840 321440 328861 331240 339521 341120 345520 354158 356720 365638 367360 378560 384160 388024 393029 393764 394880 404752 405769 407680 417092 417872 423262 439040 443456 449176 450016 463736 477568 483728 485030 492205 499408 505940 513344 514304 521365 522340 529984 552832 554320 561470 562520 570752 579670 596960 604660 614656 624260 641680 642880 657722 662480 679042 682240 691040 708316 713440 729911 731276 757120 768320 776048 786058 787528 789760 809504 811538 815360 834184 835744 846524 885395 886912 898352 900032 914095 927472 955136 967456 970060 984410 998816 1011880 1026688 1042730 1044680 1058155 1059968 1105664 1108640 1122940 1125040 1141504 1159340 1193920 1209320 1239553 1248520 1279733 1283360 1285760 1315444 1324960 1358084 1382080 1416632 1426880 1459822 1462552 1481417 1514240 1536640 1552096 1572116 1575056 1619008 1623076 1644305 1668368 1671488 1693048 1697605 1770790 1773824 1796704 1800064 1828190 1854944 1934912 1940120 1965145 1968820 1997632 2023760 2028845 2053376 2085460 2089360 2116310 2119936 2217280 2245880 2250080 2302027 2318680 2376647 2387840 2418640 2479106 2497040 2559466 2566720 2571520 2630888 2649920 2716168 2751203 2764160 2833264 2853760 2919644 2925104 2962834 3073280 3104192 3144232 3150112 3238016 3246152 3288610 3336736 3342976 3386096 3395210 3541580 3593408 3600128 3649555 3656380 3709888 3869824 3880240 3930290 3937640 3995264 4047520 4057690 4170920 4178720 4232620 4275193 4434560 4491760 4500160 4604054 4637360 4753294 4775680 4837280 4958212 4994080 5109377 5118932 5133440 5261776 5299840 5432336 5502406 5528320 5666528 5707520 5839288 5850208 5925668 6197765 6208384 6288464 6300224 6398665 6476032 6492304 6577220 6673472 6685952 6772192 6790420 7083160 7186816 7299110 7312760 7407085 7419776 7739648 7760480 7860580 7875280 7990528 8095040 8115380 8341840 8357440 8465240 8550386 8676871 8869120 8983520 9000320 9208108 9274720 9506588 9674560 9916424 9988160 10218754 10237864 10266880 10523552 10599680 10864672 11004812 11333056 11510135 11678576 11700416 11851336 11883235 12395530 12416768 12576928 12600448 12797330 12984608 13154440 13346944 13544384 13580840 13756015 14166320 14373632 14598220 14625520 14814170 14839552 15520960 15721160 15750560 16114189 16190080 16230760 16636529 16683680 16714880 16930480 17100772 17353742 17967040 18000640 18416216 18549440 19013176 19258421 19349120 19832848 19976320 20437508 20475728 21047104 21375965 21729344 22009624 22666112 23020270 23357152 23400832 23702672 23766470 24791060 25153856 25200896 25546885 25594660 25969216 26308880 26693888 27088768 27161680 27512030 28332640 29196440 29251040 29628340 29926351 31041920 31442320 31501120 32228378 32380160 32461520 33273058 33367360 33429760 33860960 34201544 34707484 35765639 35934080 36832432 37098880 38026352 38516842 38698240 39665696 39952640 40875016 40951456 42094208 42751930 43384355 43458688 44019248 45332224 46040540 46714304 46801664 47405344 47532940 49582120 50307712 51093770 51189320 51938432 52617760 54177536 54323360 55024060 56665280 58392880 58502080 59256680 59852702 60738097 62083840 62884640 63002240 64456756 64923040 66546116 66734720 67721920 68403088 69414968 71531278 71868160 73664864 74197760 76052704 77033684 79331392 80570945 81750032 81902912 83182645 84188416 85503860 86768710 86917376 88038496 92081080 93428608 94810688 95065880 96292105 99164240 100615424 102187540 102378640 103876864 105235520 108646720 110048120 112799323 113330560 116785760 117004160 118513360 119705404 121476194 125769280 126004480 128913512 129846080 133092232 133469440 135443840 136806176 138829936 143062556 147329728 149631755 152105408 154067368 158662784 161141890 163500064 163805824 166365290 171007720 173537420 176076992 178828195 184162160 186857216 189621376 190131760 192584210 198328480 204375080 204757280 209484457 210471040 217293440 220096240 225598646 226661120 233571520 234008320 237026720 239410808 242952388 250359473 251538560 257827024 259692160 266184464 270887680 273612352 277659872 286125112 294659456 299263510 303690485 304210816 308134736 317325568 322283780 327000128 327611648 332730580 342015440 347074840 352153984 357656390 368324320 379242752 380263520 385168420 396656960 408750160 409514560 418968914 420942080 434586880 440192480 451197292 467143040 474053440 478821616 485904776 500718946 503077120 515654048 519384320 532368928 547224704 555319744 563996615 572250224 589318912 598527020 607380970 608421632 616269472 644567560 654000256 665461160 684030880 694149680 704307968 715312780 736648640 760527040 770336840 789595261 793313920 817500320 819029120 837937828 880384960 902394584 934286080 948106880 957643232 971809552 1001437892 1031308096 1047422285 1064737856 1094449408 1110639488 1127993230 1144500448 1197054040 1214761940 1232538944 1251797365 1289135120 1308000512 1330922320 1368061760 1388299360 1430625560 1466391199 1473297280 1521054080 1540673680 1579190522 1586627840 1635000640 1638058240 1675875656 1760769920 1804789168 1896213760 1915286464 1943619104 2002875784 2062616192 2094844570 2129475712 2221278976 2255986460 2289000896 2394108080 2429523880 2465077888 2503594730 2578270240 2661844640 2736123520 2776598720 2861251120 2932782398 2946594560 3042108160 3081347360 3158381044 3270001280 3351751312 3521539840 3609578336 3830572928 3887238208 3947976305 4005751568 4125232384 4189689140 4258951424 4511972920 4578001792 4788216160 4859047760 4930155776 5007189460 5156540480 5323689280 5472247040 5553197440 5722502240 5865564796 6162694720 6316762088 6540002560 6703502624 7219156672 7331955995 7661145856 7774476416 7895952610 8011503136 8379378280 9023945840 9156003584 9576432320 9718095520 10014378920 10264738393 10313080960 10647378560 11106394880 11445004480 11731129592 12325389440 12633524176 13407005248 14438313344 14663911990 15548952832 15791905220 16023006272 16758756560 18047891680 19152864640 19436191040 20028757840 20529476786 20626161920 21294757120 22890008960 23462259184 24650778880 25267048352 26814010496 28876626688 29327823980 31583810440 32046012544 33517513120 36095783360 38305729280 38872382080 40057515680 41058953572 45780017920 46924518368 50534096704 51323691965 53628020992 58655647960 63167620880 64092025088 67035026240 72191566720 77744764160 80115031360 82117907144 93849036736 101068193408 102647383930 117311295920 126335241760 134070052480 144383133440 160230062720 164235814288 187698073472 202136386816 205294767860 234622591840 252670483520 268140104960 320460125440 328471628576 375396146944 410589535720 469245183680 505340967040 656943257152 821179071440 938490367360 1010681934080 1313886514304 1642358142880 1876980734720 2627773028608 3284716285760 6569432571520 13138865143040
- Sum of all divisors σ(n): 40791916930968
- Sum of proper divisors (its aliquot sum) s(n): 27653051787928
- 13138865143040 is an abundant number, because the sum of its proper divisors (27653051787928) is greater than itself. Its abundance is 14514186644888
Bases of 13138865143040
- Binary: 101111110011001000010110001110111101000000002
- Hexadecimal: 0xBF32163BD00
- Base-36: 4NNWT2JNK
Squares and roots of 13138865143040
- 13138865143040 squared (131388651430402) is 172629777246991519660441600
- 13138865143040 cubed (131388651430403) is 2268159362921256570373054995013566464000
-
The
square root of 13138865143040 is 3624757.2529812255 -
The
cube root of 13138865143040 is 23596.7732008807
Scales and comparisons
How big is 13138865143040?- 13,138,865,143,040 seconds is equal to 417,775 years, 14 weeks, 9 hours, 57 minutes, 20 seconds.
-
To count from 1 to 13,138,865,143,040 would take you about one million, forty-four thousand, four hundred thirty-eight 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 13138865143040 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138865143040
- 13138865143040 backwards is 04034156883131
- The number of decimal digits it has is: 14
- The sum of 13138865143040's digits is 47
- More coming soon!
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The information we have on file for 13138865143040 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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