138516376320
138,516,376,320 is an even composite number composed of six prime numbers multiplied together.
138516376320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138516376320:
28 × 35 × 5 × 7 × 113 × 563
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 113 × 563)See below for interesting mathematical facts about the number 138516376320 from the Numbermatics database.
Names of 138516376320
- Cardinal: 138516376320 can be written as One hundred thirty-eight billion, five hundred sixteen million, three hundred seventy-six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3851637632 × 1011
Factors of 138516376320
Divisors of 138516376320
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 81 84 90 96 105 108 112 113 120 126 128 135 140 144 160 162 168 180 189 192 210 216 224 226 240 243 252 256 270 280 288 315 320 324 336 339 360 378 384 405 420 432 448 452 480 486 504 540 560 563 565 567 576 630 640 648 672 678 720 756 768 791 810 840 864 896 904 945 960 972 1008 1017 1080 1120 1126 1130 1134 1152 1215 1260 1280 1296 1344 1356 1440 1512 1582 1620 1680 1689 1695 1701 1728 1792 1808 1890 1920 1944 2016 2034 2160 2240 2252 2260 2268 2304 2373 2430 2520 2592 2688 2712 2815 2835 2880 3024 3051 3164 3240 3360 3378 3390 3402 3456 3616 3780 3840 3888 3941 3955 4032 4068 4320 4480 4504 4520 4536 4746 4860 5040 5067 5085 5184 5376 5424 5630 5670 5760 6048 6102 6328 6480 6720 6756 6780 6804 6912 7119 7232 7560 7776 7882 7910 8064 8136 8445 8505 8640 8960 9008 9040 9072 9153 9492 9720 10080 10134 10170 10368 10848 11260 11340 11520 11823 11865 12096 12204 12656 12960 13440 13512 13560 13608 14238 14464 15120 15201 15255 15552 15764 15820 16128 16272 16890 17010 17280 18016 18080 18144 18306 18984 19440 19705 20160 20268 20340 20736 21357 21696 22520 22680 23646 23730 24192 24408 25312 25335 25920 26880 27024 27120 27216 27459 28476 28928 30240 30402 30510 31104 31528 31640 32544 33780 34020 34560 35469 35595 36032 36160 36288 36612 37968 38880 39410 40320 40536 40680 42714 43392 45040 45360 45603 45765 47292 47460 48384 48816 50624 50670 51840 54048 54240 54432 54918 56952 59115 60480 60804 61020 62208 63056 63280 63619 64071 65088 67560 68040 70938 71190 72064 72320 72576 73224 75936 76005 77760 78820 80640 81072 81360 85428 86784 90080 90720 91206 91530 94584 94920 97632 101248 101340 103680 106407 106785 108096 108480 108864 109836 113904 118230 120960 121608 122040 126112 126560 127238 128142 130176 135120 136080 136809 137295 141876 142380 144128 144640 145152 146448 151872 152010 155520 157640 162144 162720 170856 177345 180160 181440 182412 183060 189168 189840 190857 192213 195264 202496 202680 212814 213570 216192 216960 217728 219672 227808 228015 236460 241920 243216 244080 252224 253120 254476 256284 260352 270240 272160 273618 274590 283752 284760 292896 303744 304020 311040 315280 318095 319221 320355 324288 325440 341712 354690 360320 362880 364824 366120 378336 379680 381714 384426 390528 405360 425628 427140 432384 433920 435456 439344 445333 455616 456030 472920 486432 488160 504448 506240 508952 512568 532035 540480 544320 547236 549180 567504 569520 572571 585792 607488 608040 630560 636190 638442 640710 648576 650880 683424 684045 709380 720640 725760 729648 732240 756672 759360 763428 768852 781056 810720 851256 854280 878688 890666 911232 912060 945840 954285 957663 961065 972864 976320 1008896 1012480 1017904 1025136 1064070 1080960 1088640 1094472 1098360 1135008 1139040 1145142 1171584 1216080 1261120 1272380 1276884 1281420 1297152 1301760 1335999 1366848 1368090 1418760 1459296 1464480 1513344 1518720 1526856 1537704 1596105 1621440 1702512 1708560 1717713 1757376 1781332 1822464 1824120 1891680 1908570 1915326 1922130 1945728 1952640 2035808 2050272 2128140 2161920 2177280 2188944 2196720 2226665 2270016 2278080 2290284 2343168 2432160 2522240 2544760 2553768 2562840 2671998 2733696 2736180 2837520 2862855 2918592 2928960 3026688 3037440 3053712 3075408 3192210 3242880 3405024 3417120 3435426 3514752 3562664 3648240 3783360 3817140 3830652 3844260 3891456 3905280 4007997 4071616 4100544 4256280 4377888 4393440 4453330 4540032 4556160 4580568 4788315 4864320 5044480 5089520 5107536 5125680 5153139 5343996 5467392 5472360 5675040 5725710 5837184 5857920 6107424 6150816 6384420 6485760 6679995 6810048 6834240 6870852 7029504 7125328 7296480 7566720 7634280 7661304 7688520 8015994 8143232 8201088 8512560 8588565 8755776 8786880 8906660 9080064 9112320 9161136 9576630 9728640 10179040 10215072 10251360 10306278 10687992 10944720 11350080 11451420 11674368 11715840 12023991 12214848 12301632 12768840 13359990 13620096 13668480 13741704 14250656 14592960 15133440 15268560 15322608 15377040 15459417 16031988 16286464 16402176 17025120 17177130 17511552 17573760 17813320 18322272 19153260 19457280 20039985 20358080 20430144 20502720 20612556 21375984 21889440 22700160 22902840 24047982 24429696 24603264 25537680 25765695 26719980 27240192 27336960 27483408 28501312 29185920 30537120 30645216 30754080 30918834 32063976 34050240 34354260 35023104 35147520 35626640 36071973 36644544 38306520 40079970 40716160 40860288 41005440 41225112 42751968 43778880 45400320 45805680 48095964 48859392 49206528 51075360 51531390 53439960 54966816 57002624 58371840 60119955 61074240 61290432 61508160 61837668 64127952 68100480 68708520 71253280 72143946 73289088 76613040 77297085 80159940 81432320 81720576 82010880 82450224 85503936 87557760 91611360 96191928 102150720 103062780 106879920 108215919 109933632 114005248 120239910 122148480 122580864 123016320 123675336 128255904 136200960 137417040 142506560 144287892 146578176 153226080 154594170 160319880 164900448 171007872 175115520 180359865 183222720 192383856 204301440 206125560 213759840 216431838 219867264 240479820 244296960 245161728 246032640 247350672 256511808 274834080 285013120 288575784 306452160 309188340 320639760 329800896 342015744 360719730 366445440 384767712 408602880 412251120 427519680 432863676 439734528 480959640 494701344 513023616 541079595 549668160 570026240 577151568 612904320 618376680 641279520 659601792 721439460 732890880 769535424 824502240 855039360 865727352 961919280 989402688 1026047232 1082159190 1099336320 1154303136 1225808640 1236753360 1282559040 1319203584 1442878920 1539070848 1649004480 1710078720 1731454704 1923838560 1978805376 2164318380 2198672640 2308606272 2473506720 2565118080 2885757840 3078141696 3298008960 3462909408 3847677120 3957610752 4328636760 4617212544 4947013440 5130236160 5771515680 6596017920 6925818816 7695354240 8657273520 9234425088 9894026880 11543031360 13851637632 15390708480 17314547040 19788053760 23086062720 27703275264 34629094080 46172125440 69258188160 138516376320
- Sum of all divisors σ(n): 574047032832
- Sum of proper divisors (its aliquot sum) s(n): 435530656512
- 138516376320 is an abundant number, because the sum of its proper divisors (435530656512) is greater than itself. Its abundance is 297014280192
Bases of 138516376320
- Binary: 100000010000000011100000101011000000002
- Hexadecimal: 0x2040382B00
- Base-36: 1RMT2O00
Squares and roots of 138516376320
- 138516376320 squared (1385163763202) is 19186786508823856742400
- 138516376320 cubed (1385163763203) is 2657684140427744341124047699968000
-
The
square root of 138516376320 is 372177.8826314105 -
The
cube root of 138516376320 is 5174.0867651265
Scales and comparisons
How big is 138516376320?- 138,516,376,320 seconds is equal to 4,404 years, 20 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 138,516,376,320 would take you about eight thousand, eight hundred 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 138516376320 cubic inches would be around 431.2 feet tall.
Recreational maths with 138516376320
- 138516376320 backwards is 023673615831
- 138516376320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138516376320's digits is 45
- More coming soon!
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The information we have on file for 138516376320 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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