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14144074960 = 245176800937
BaseRepresentation
bin11010010110000110…
…10111010011010000
31100111201120110021011
431023003113103100
5212431340344320
610255300340304
71010334440101
oct151303272320
940451513234
1014144074960
115aa8a63954
1228a89a4694
131445414c32
1498269c3a8
1557bae205a
hex34b0d74d0

14144074960 has 20 divisors (see below), whose sum is σ = 32884974468. Its totient is φ = 5657629952.

The previous prime is 14144074957. The next prime is 14144075017. The reversal of 14144074960 is 6947044141.

It can be written as a sum of positive squares in 2 ways, for example, as 5789383744 + 8354691216 = 76088^2 + 91404^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88400389 + ... + 88400548.

Almost surely, 214144074960 is an apocalyptic number.

14144074960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144074960 is an abundant number, since it is smaller than the sum of its proper divisors (18740899508).

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

14144074960 is a wasteful number, since it uses less digits than its factorization.

14144074960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176800950 (or 176800944 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 14144074960 in words is "fourteen billion, one hundred forty-four million, seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 176800937 353601874 707203748 884004685 1414407496 1768009370 2828814992 3536018740 7072037480 14144074960