46142490045440
46,142,490,045,440 is an even composite number composed of six prime numbers multiplied together.
46142490045440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 46142490045440:
210 × 5 × 17 × 61 × 1061 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 61 × 1061 × 8191)See below for interesting mathematical facts about the number 46142490045440 from the Numbermatics database.
Names of 46142490045440
- Cardinal: 46142490045440 can be written as Forty-six trillion, one hundred forty-two billion, four hundred ninety million, forty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.614249004544 × 1013
Factors of 46142490045440
Divisors of 46142490045440
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 32 34 40 61 64 68 80 85 122 128 136 160 170 244 256 272 305 320 340 488 512 544 610 640 680 976 1024 1037 1061 1088 1220 1280 1360 1952 2074 2122 2176 2440 2560 2720 3904 4148 4244 4352 4880 5120 5185 5305 5440 7808 8191 8296 8488 8704 9760 10370 10610 10880 15616 16382 16592 16976 17408 18037 19520 20740 21220 21760 31232 32764 33184 33952 36074 39040 40955 41480 42440 43520 62464 64721 65528 66368 67904 72148 78080 81910 82960 84880 87040 90185 129442 131056 132736 135808 139247 144296 156160 163820 165920 169760 180370 258884 262112 265472 271616 278494 288592 312320 323605 327640 331840 339520 360740 499651 517768 524224 530944 543232 556988 577184 647210 655280 663680 679040 696235 721480 999302 1035536 1048448 1061888 1086464 1100257 1113976 1154368 1294420 1310560 1327360 1358080 1392470 1442960 1998604 2071072 2096896 2200514 2227952 2308736 2498255 2588840 2621120 2654720 2716160 2784940 2885920 3997208 4142144 4193792 4401028 4455904 4617472 4996510 5177680 5242240 5309440 5432320 5501285 5569880 5771840 7994416 8284288 8387584 8494067 8690651 8802056 8911808 9234944 9993020 10355360 10484480 11002570 11139760 11543680 15988832 16568576 16988134 17381302 17604112 17823616 18469888 19986040 20710720 20968960 22005140 22279520 23087360 31977664 33137152 33976268 34762604 35208224 35647232 39972080 41421440 41937920 42470335 43453255 44010280 44559040 46174720 63955328 66274304 67952536 69525208 70416448 71294464 79944160 82842880 84940670 86906510 88020560 89118080 92349440 127910656 135905072 139050416 140832896 142588928 147741067 159888320 165685760 169881340 173813020 176041120 178236160 255821312 271810144 278100832 281665792 295482134 319776640 331371520 339762680 347626040 352082240 356472320 511642624 530129711 543620288 556201664 563331584 590964268 639553280 679525360 695252080 704164480 712944640 738705335 1060259422 1087240576 1112403328 1126663168 1181928536 1279106560 1359050720 1390504160 1408328960 1477410670 2120518844 2174481152 2224806656 2363857072 2558213120 2650648555 2718101440 2781008320 2816657920 2954821340 4241037688 4348962304 4449613312 4727714144 5301297110 5436202880 5562016640 5633315840 5909642680 8482075376 8697924608 8899226624 9012205087 9455428288 10602594220 10872405760 11124033280 11819285360 16964150752 18024410174 18910856576 21205188440 21744811520 22248066560 23638570720 33928301504 36048820348 37821713152 42410376880 43489623040 44496133120 45061025435 47277141440 67856603008 72097640696 75643426304 84820753760 90122050870 94554282880 135713206016 144195281392 151286852608 169641507520 180244101740 189108565760 271426412032 288390562784 339283015040 360488203480 378217131520 542852824064 576781125568 678566030080 720976406960 756434263040 1153562251136 1357132060160 1441952813920 2307124502272 2714264120320 2883905627840 4614249004544 5767811255680 9228498009088 11535622511360 23071245022720 46142490045440
- Sum of all divisors σ(n): 119247078555648
- Sum of proper divisors (its aliquot sum) s(n): 73104588510208
- 46142490045440 is an abundant number, because the sum of its proper divisors (73104588510208) is greater than itself. Its abundance is 26962098464768
Bases of 46142490045440
- Binary: 10100111110111011000101011101001101100000000002
- Hexadecimal: 0x29F762BA6C00
- Base-36: GCTKF7J7K
Squares and roots of 46142490045440
- 46142490045440 squared (461424900454402) is 2129129387593529493264793600
- 46142490045440 cubed (461424900454403) is 98243331572488198079925786214016221184000
-
The
square root of 46142490045440 is 6792826.3665016493 -
The
cube root of 46142490045440 is 35867.4368550233
Scales and comparisons
How big is 46142490045440?- 46,142,490,045,440 seconds is equal to 1,467,188 years, 23 weeks, 4 days, 17 hours, 57 minutes, 20 seconds.
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To count from 1 to 46,142,490,045,440 would take you about three million, six hundred sixty-seven thousand, nine hundred seventy-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 46142490045440 cubic inches would be around 2989 feet tall.
Recreational maths with 46142490045440
- 46142490045440 backwards is 04454009424164
- The number of decimal digits it has is: 14
- The sum of 46142490045440's digits is 47
- More coming soon!
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