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14064295200 = 253525860123
BaseRepresentation
bin11010001100100110…
…00001110100100000
31100022011110020000020
431012103001310200
5212300424421300
610243330353440
71005345352044
oct150623016440
940264406006
1014064295200
115a67a2316a
12288612b880
131431a30b87
14975c52024
15574ad38a0
hex3464c1d20

14064295200 has 72 divisors (see below), whose sum is σ = 45779288688. Its totient is φ = 3750478080.

The previous prime is 14064295169. The next prime is 14064295229. The reversal of 14064295200 is 259246041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2927662 + ... + 2932461.

It is an arithmetic number, because the mean of its divisors is an integer number (635823454).

Almost surely, 214064295200 is an apocalyptic number.

14064295200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14064295200 is an abundant number, since it is smaller than the sum of its proper divisors (31714993488).

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

14064295200 is a wasteful number, since it uses less digits than its factorization.

14064295200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860146 (or 5860133 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 14064295200 in words is "fourteen billion, sixty-four million, two hundred ninety-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5860123 11720246 17580369 23440492 29300615 35160738 46880984 58601230 70321476 87901845 93761968 117202460 140642952 146503075 175803690 187523936 234404920 281285904 293006150 351607380 439509225 468809840 562571808 586012300 703214760 879018450 937619680 1172024600 1406429520 1758036900 2344049200 2812859040 3516073800 4688098400 7032147600 14064295200