138420364492800
138,420,364,492,800 is an even composite number composed of five prime numbers multiplied together.
138420364492800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 138420364492800:
214 × 36 × 52 × 133 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 211)See below for interesting mathematical facts about the number 138420364492800 from the Numbermatics database.
Names of 138420364492800
- Cardinal: 138420364492800 can be written as One hundred thirty-eight trillion, four hundred twenty billion, three hundred sixty-four million, four hundred ninety-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384203644928 × 1014
Factors of 138420364492800
Divisors of 138420364492800
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 128 130 135 144 150 156 160 162 169 180 192 195 200 208 211 216 225 234 240 243 256 260 270 288 300 312 320 324 325 338 351 360 384 390 400 405 416 422 432 450 468 480 486 507 512 520 540 576 585 600 624 633 640 648 650 675 676 702 720 729 768 780 800 810 832 844 845 864 900 936 960 972 975 1014 1024 1040 1053 1055 1080 1152 1170 1200 1215 1248 1266 1280 1296 1300 1350 1352 1404 1440 1458 1521 1536 1560 1600 1620 1664 1688 1690 1728 1755 1800 1872 1899 1920 1944 1950 2025 2028 2048 2080 2106 2110 2160 2197 2304 2340 2400 2430 2496 2532 2535 2560 2592 2600 2700 2704 2743 2808 2880 2916 2925 3042 3072 3120 3159 3165 3200 3240 3328 3376 3380 3456 3510 3600 3645 3744 3798 3840 3888 3900 4050 4056 4096 4160 4212 4220 4225 4320 4394 4563 4608 4680 4800 4860 4992 5064 5070 5120 5184 5200 5265 5275 5400 5408 5486 5616 5697 5760 5832 5850 6075 6084 6144 6240 6318 6330 6400 6480 6591 6656 6752 6760 6912 7020 7200 7290 7488 7596 7605 7680 7776 7800 8100 8112 8192 8229 8320 8424 8440 8450 8640 8775 8788 9126 9216 9360 9477 9495 9600 9720 9984 10128 10140 10240 10368 10400 10530 10550 10800 10816 10972 10985 11232 11394 11520 11664 11700 12150 12168 12288 12480 12636 12660 12675 12800 12960 13182 13312 13504 13520 13689 13715 13824 14040 14400 14580 14976 15192 15210 15360 15552 15600 15795 15825 16200 16224 16384 16458 16640 16848 16880 16900 17091 17280 17550 17576 18225 18252 18432 18720 18954 18990 19200 19440 19773 19968 20256 20280 20480 20736 20800 21060 21100 21600 21632 21944 21970 22464 22788 22815 23040 23328 23400 24300 24336 24576 24687 24960 25272 25320 25350 25600 25920 26325 26364 26624 27008 27040 27378 27430 27648 28080 28485 28800 29160 29952 30384 30420 30720 31104 31200 31590 31650 32400 32448 32916 32955 33280 33696 33760 33800 34182 34560 35100 35152 35659 36450 36504 36864 37440 37908 37980 38025 38400 38880 39546 39936 40512 40560 40960 41067 41145 41472 41600 42120 42200 43200 43264 43888 43940 44928 45576 45630 46080 46656 46800 47385 47475 48600 48672 49152 49374 49920 50544 50640 50700 51200 51273 51840 52650 52728 53248 54016 54080 54756 54860 54925 55296 56160 56970 57600 58320 59319 59904 60768 60840 61440 62208 62400 63180 63300 64800 64896 65832 65910 66560 67392 67520 67600 68364 68445 68575 69120 70200 70304 71318 72900 73008 73728 74061 74880 75816 75960 76050 76800 77760 78975 79092 79872 81024 81120 81920 82134 82290 82944 83200 84240 84400 85455 86400 86528 87776 87880 89856 91152 91260 92160 93312 93600 94770 94950 97200 97344 98748 98865 99840 101088 101280 101400 102400 102546 103680 105300 105456 106496 106977 108032 108160 109512 109720 109850 110592 112320 113940 114075 115200 116640 118638 119808 121536 121680 122880 123201 123435 124416 124800 126360 126600 129600 129792 131664 131820 133120 134784 135040 135200 136728 136890 137150 138240 140400 140608 142425 142636 145800 146016 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11375769600 11392622592 11830800384 11867315200 12015656640 12148531200 12323750400 12600852480 12615782400 12797740800 12816700416 13120413696 13145333760 13309650432 13350729600 13517613720 13650923520 13667097600 13864219200 14240778240 14418787968 14578237440 14605926400 14788500480 15019570800 15167692800 15751065600 15774400512 16020875520 16381108224 16400517120 16431667200 16637063040 16821043200 16897017150 17063654400 17088933888 17746200576 17800972800 18023484960 18201231360 18222796800 18485625600 18987704320 19225050624 19718000640 20026094400 20476385280 20500646400 20796328800 21001420800 21361167360 21628181952 21867356160 21908889600 22182750720 22529356200 22751539200 22785245184 23661600768 23734630400 24031313280 24297062400 24647500800 25231564800 25595481600 25633400832 26240827392 26290667520 26619300864 26701459200 27035227440 27301847040 27334195200 27728438400 28481556480 28837575936 29577000960 30039141600 30335385600 31502131200 32041751040 32762216448 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131453337600 133096504320 135176137200 136509235200 141969604608 142407782400 144187879680 147885004800 153800404992 160208755200 163811082240 164005171200 166370630400 170889338880 173025455616 177462005760 180234849600 189877043200 192250506240 197180006400 204763852800 205067206656 212954406912 213611673600 216281819520 218673561600 221827507200 230700607488 236616007680 240313132800 256334008320 266193008640 270352274400 273018470400 284815564800 288375759360 295770009600 307600809984 320417510400 328010342400 332741260800 341778677760 346050911232 354924011520 360469699200 384501012480 394360012800 409527705600 425908813824 427223347200 432563639040 443655014400 461401214976 480626265600 512668016640 532386017280 540704548800 569631129600 576751518720 591540019200 615201619968 640835020800 656020684800 665482521600 692101822464 709848023040 720939398400 769002024960 819055411200 854446694400 865127278080 887310028800 922802429952 961252531200 1025336033280 1064772034560 1081409097600 1153503037440 1183080038400 1281670041600 1330965043200 1384203644928 1441878796800 1538004049920 1708893388800 1730254556160 1774620057600 1845604859904 1922505062400 2129544069120 2162818195200 2307006074880 2563340083200 2661930086400 2768407289856 2883757593600 3076008099840 3460509112320 3549240115200 3845010124800 4325636390400 4614012149760 5126680166400 5323860172800 5536814579712 5767515187200 6921018224640 7690020249600 8651272780800 9228024299520 10647720345600 11535030374400 13842036449280 15380040499200 17302545561600 23070060748800 27684072898560 34605091123200 46140121497600 69210182246400 138420364492800
- Sum of all divisors σ(n): 560184844330160
- Sum of proper divisors (its aliquot sum) s(n): 421764479837360
- 138420364492800 is an abundant number, because the sum of its proper divisors (421764479837360) is greater than itself. Its abundance is 283344115344560
Bases of 138420364492800
- Binary: 111110111100100100000001010011111000000000000002
- Hexadecimal: 0x7DE480A7C000
- Base-36: 1D2DFR4000
Squares and roots of 138420364492800
- 138420364492800 squared (1384203644928002) is 19160197306319607001251840000
- 138420364492800 cubed (1384203644928003) is 2652161494894724734004530478686666752000000
-
The
square root of 138420364492800 is 11765218.4209558981 -
The
cube root of 138420364492800 is 51728.9102601267
Scales and comparisons
How big is 138420364492800?- 138,420,364,492,800 seconds is equal to 4,401,339 years, 22 weeks, 2 days.
-
To count from 1 to 138,420,364,492,800 would take you about eleven million, three thousand, three hundred forty-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 138420364492800 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138420364492800
- 138420364492800 backwards is 008294463024831
- 138420364492800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138420364492800's digits is 54
- More coming soon!
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The information we have on file for 138420364492800 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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