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14503370148 = 22322913892117
BaseRepresentation
bin11011000000111011…
…11101110110100100
31101102202122112121100
431200131331312210
5214200330321043
610355053320100
71022256416661
oct154035756644
941382575540
1014503370148
116172857723
122989196030
1314a19a3c37
149b82a8a68
1559d414cd3
hex36077dda4

14503370148 has 36 divisors (see below), whose sum is σ = 37925482140. Its totient is φ = 4667750976.

The previous prime is 14503370131. The next prime is 14503370207. The reversal of 14503370148 is 84107330541.

It is a happy number.

14503370148 is a `hidden beast` number, since 1 + 4 + 503 + 3 + 7 + 0 + 148 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2777079204 + 11726290944 = 52698^2 + 108288^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6945015 + ... + 6947102.

It is an arithmetic number, because the mean of its divisors is an integer number (1053485615).

Almost surely, 214503370148 is an apocalyptic number.

14503370148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14503370148 is an abundant number, since it is smaller than the sum of its proper divisors (23422111992).

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

14503370148 is a wasteful number, since it uses less digits than its factorization.

14503370148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13892156 (or 13892151 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14503370148 in words is "fourteen billion, five hundred three million, three hundred seventy thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 13892117 27784234 41676351 55568468 83352702 125029053 166705404 250058106 402871393 500116212 805742786 1208614179 1611485572 2417228358 3625842537 4834456716 7251685074 14503370148