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14290446036960 = 2532515763209687
BaseRepresentation
bin1100111111110100000011…
…1101011010111111100000
31212121011010202101101001200
43033331000331122333200
53333113313141140320
650220535033401200
73003310401053322
oct317750075327740
955534122341050
1014290446036960
11460a5a9267065
121729701569200
137c8777605292
14375938797612
1519bad9958290
hexcff40f5afe0

14290446036960 has 144 divisors (see below), whose sum is σ = 49076760279456. Its totient is φ = 3786513030144.

The previous prime is 14290446036947. The next prime is 14290446036989. The reversal of 14290446036960 is 6963064409241.

14290446036960 is a `hidden beast` number, since 1 + 4 + 2 + 90 + 4 + 460 + 3 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 14290446036897 and 14290446036906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31378764 + ... + 31830923.

It is an arithmetic number, because the mean of its divisors is an integer number (340810835274).

Almost surely, 214290446036960 is an apocalyptic number.

14290446036960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14290446036960 is an abundant number, since it is smaller than the sum of its proper divisors (34786314242496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14290446036960 is a wasteful number, since it uses less digits than its factorization.

14290446036960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63209865 (or 63209854 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 14290446036960 in words is "fourteen trillion, two hundred ninety billion, four hundred forty-six million, thirty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 157 160 180 240 288 314 360 471 480 628 720 785 942 1256 1413 1440 1570 1884 2355 2512 2826 3140 3768 4710 5024 5652 6280 7065 7536 9420 11304 12560 14130 15072 18840 22608 25120 28260 37680 45216 56520 75360 113040 226080 63209687 126419374 189629061 252838748 316048435 379258122 505677496 568887183 632096870 758516244 948145305 1011354992 1137774366 1264193740 1517032488 1896290610 2022709984 2275548732 2528387480 2844435915 3034064976 3792581220 4551097464 5056774960 5688871830 6068129952 7585162440 9102194928 9923920859 10113549920 11377743660 15170324880 18204389856 19847841718 22755487320 29771762577 30340649760 39695683436 45510974640 49619604295 59543525154 79391366872 89315287731 91021949280 99239208590 119087050308 148858812885 158782733744 178630575462 198478417180 238174100616 297717625770 317565467488 357261150924 396956834360 446576438655 476348201232 595435251540 714522301848 793913668720 893152877310 952696402464 1190870503080 1429044603696 1587827337440 1786305754620 2381741006160 2858089207392 3572611509240 4763482012320 7145223018480 14290446036960