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14005254144 = 21137325643
BaseRepresentation
bin11010000101100011…
…10011100000000000
31100011001100121220110
431002301303200000
5212140321113034
610233421111320
71004030460510
oct150261634000
940131317813
1014005254144
115a37667802
12286a3b8540
13142272b53b
1496c083840
1556e81ede9
hex342c73800

14005254144 has 96 divisors (see below), whose sum is σ = 42672389760. Its totient is φ = 4001488896.

The previous prime is 14005254101. The next prime is 14005254167. The reversal of 14005254144 is 44145250041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×140052541442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119814 + ... + 205829.

It is an arithmetic number, because the mean of its divisors is an integer number (444504060).

Almost surely, 214005254144 is an apocalyptic number.

14005254144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14005254144 is an abundant number, since it is smaller than the sum of its proper divisors (28667135616).

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

14005254144 is an equidigital number, since it uses as much as digits as its factorization.

14005254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325675 (or 325655 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 14005254144 in words is "fourteen billion, five million, two hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 325643 651286 976929 1302572 1953858 2279501 2605144 3907716 4559002 5210288 6838503 7815432 9118004 10420576 13677006 15630864 18236008 20841152 27354012 31261728 36472016 41682304 54708024 62523456 72944032 83364608 109416048 125046912 145888064 166729216 218832096 250093824 291776128 333458432 437664192 500187648 583552256 666916864 875328384 1000375296 1167104512 1750656768 2000750592 2334209024 3501313536 4668418048 7002627072 14005254144