138405327840
138,405,327,840 is an even composite number composed of seven prime numbers multiplied together.
138405327840 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 138405327840:
25 × 32 × 5 × 13 × 53 × 199 × 701
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 53 × 199 × 701)See below for interesting mathematical facts about the number 138405327840 from the Numbermatics database.
Names of 138405327840
- Cardinal: 138405327840 can be written as One hundred thirty-eight billion, four hundred five million, three hundred twenty-seven thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3840532784 × 1011
Factors of 138405327840
Divisors of 138405327840
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 53 60 65 72 78 80 90 96 104 106 117 120 130 144 156 159 160 180 195 199 208 212 234 240 260 265 288 312 318 360 390 398 416 424 468 477 480 520 530 585 597 624 636 689 701 720 780 795 796 848 936 954 995 1040 1060 1170 1194 1248 1272 1378 1402 1440 1560 1590 1592 1696 1791 1872 1908 1990 2067 2080 2103 2120 2340 2385 2388 2544 2587 2756 2804 2985 3120 3180 3184 3445 3505 3582 3744 3816 3980 4134 4206 4240 4680 4770 4776 5088 5174 5512 5608 5970 6201 6240 6309 6360 6368 6890 7010 7164 7632 7761 7960 8268 8412 8480 8955 9113 9360 9540 9552 10335 10348 10515 10547 11024 11216 11940 12402 12618 12720 12935 13780 14020 14328 15264 15522 15920 16536 16824 17910 18226 18720 19080 19104 20670 20696 21030 21094 22048 22432 23283 23880 24804 25236 25440 25870 27339 27560 28040 28656 31005 31044 31545 31641 31840 33072 33648 35820 36452 37153 38160 38805 41340 41392 42060 42188 45565 46566 47760 49608 50472 51740 52735 54678 55120 56080 57312 62010 62088 63090 63282 66144 67296 71640 72904 74306 76320 77610 82017 82680 82784 84120 84376 91130 93132 94923 95520 99216 100944 103480 105470 109356 110240 111459 112160 116415 124020 124176 126180 126564 136695 137111 139499 143280 145808 148612 155220 158205 164034 165360 168240 168752 182260 185765 186264 189846 198432 201888 206960 210940 218712 222918 232830 248040 248352 252360 253128 273390 274222 278998 286560 291616 297224 310440 316410 328068 330720 334377 336480 337504 364520 371530 372528 379692 410085 411333 413920 418497 421880 437424 445836 465660 474615 482989 496080 504720 506256 546780 548444 557295 557996 594448 620880 632820 656136 668754 685555 697495 729040 743060 745056 759384 820170 822666 836994 843760 874848 891672 931320 949230 965978 992160 1009440 1012512 1093560 1096888 1114590 1115992 1188896 1233999 1241760 1255491 1265640 1312272 1337508 1371110 1394990 1448967 1458080 1486120 1518768 1640340 1645332 1671885 1673988 1687520 1783344 1813487 1862640 1898460 1931956 2056665 2092485 2187120 2193776 2229180 2231984 2414945 2467998 2510982 2531280 2624544 2675016 2742220 2789980 2897934 2972240 3037536 3280680 3290664 3343770 3347976 3566688 3626974 3725280 3796920 3863912 4113330 4184970 4346901 4374240 4387552 4458360 4463968 4829890 4935996 5021964 5062560 5350032 5440461 5484440 5579960 5795868 5944480 6169995 6277455 6561360 6581328 6687540 6695952 7244835 7253948 7393447 7593840 7727824 8226660 8369940 8693802 8916720 9067435 9659780 9871992 10043928 10700064 10880922 10968880 11159920 11591736 12339990 12554910 13122720 13162656 13375080 13391904 14489670 14507896 14786894 15187680 15455648 16321383 16453320 16739880 17387604 17833440 18134870 19319560 19743984 20087856 21734505 21761844 21937760 22180341 22319840 23183472 24679980 25109820 26750160 27202305 28979340 29015792 29573788 32642766 32906640 33479760 34775208 36269740 36967235 38639120 39487968 40175712 43469010 43523688 44360682 46366944 49359960 50219640 53500320 54404610 57958680 58031584 59147576 65285532 65813280 66541023 66959520 69550416 72539480 73934470 77278240 81606915 86938020 87047376 88721364 96114811 98719920 100439280 108809220 110901705 115917360 118295152 130571064 133082046 139100832 145078960 147868940 163213830 173876040 174094752 177442728 192229622 197439840 200878560 217618440 221803410 231834720 236590304 261142128 266164092 288344433 290157920 295737880 326427660 332705115 347752080 354885456 384459244 435236880 443606820 480574055 522284256 532328184 576688866 591475760 652855320 665410230 695504160 709770912 768918488 865033299 870473760 887213640 961148110 1064656368 1153377732 1182951520 1305710640 1330820460 1441722165 1537836976 1730066598 1774427280 1922296220 2129312736 2306755464 2611421280 2661640920 2883444330 3075673952 3460133196 3548854560 3844592440 4325166495 4613510928 5323281840 5766888660 6920266392 7689184880 8650332990 9227021856 10646563680 11533777320 13840532784 15378369760 17300665980 23067554640 27681065568 34601331960 46135109280 69202663920 138405327840
- Sum of all divisors σ(n): 521583753600
- Sum of proper divisors (its aliquot sum) s(n): 383178425760
- 138405327840 is an abundant number, because the sum of its proper divisors (383178425760) is greater than itself. Its abundance is 244773097920
Bases of 138405327840
- Binary: 100000001110011001100110110011111000002
- Hexadecimal: 0x203999B3E0
- Base-36: 1RKYYIG0
Squares and roots of 138405327840
- 138405327840 squared (1384053278402) is 19156034774497879065600
- 138405327840 cubed (1384053278403) is 2651297273078819423459040866304000
-
The
square root of 138405327840 is 372028.6653471745 -
The
cube root of 138405327840 is 5172.7037082401
Scales and comparisons
How big is 138405327840?- 138,405,327,840 seconds is equal to 4,400 years, 44 weeks, 5 days, 12 hours, 24 minutes.
-
To count from 1 to 138,405,327,840 would take you about eight thousand, eight hundred one 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 138405327840 cubic inches would be around 431.1 feet tall.
Recreational maths with 138405327840
- 138405327840 backwards is 048723504831
- 138405327840 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138405327840's digits is 45
- More coming soon!
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