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14028445800 = 2332527793581
BaseRepresentation
bin11010001000010100…
…10001100001101000
31100012122222212212200
431010022101201220
5212212240231200
610240010140200
71004431551615
oct150412214150
940178885780
1014028445800
115a49767a66
122876121660
13142748b605
1497119d50c
155718a1800
hex344291868

14028445800 has 72 divisors (see below), whose sum is σ = 47112203190. Its totient is φ = 3740918400.

The previous prime is 14028445789. The next prime is 14028445811. The reversal of 14028445800 is 854482041.

14028445800 is a `hidden beast` number, since 14 + 0 + 28 + 44 + 580 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14028445789) and next prime (14028445811).

It can be written as a sum of positive squares in 3 ways, for example, as 11041386084 + 2987059716 = 105078^2 + 54654^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3894991 + ... + 3898590.

Almost surely, 214028445800 is an apocalyptic number.

14028445800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14028445800 is an abundant number, since it is smaller than the sum of its proper divisors (33083757390).

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

14028445800 is a wasteful number, since it uses less digits than its factorization.

14028445800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793603 (or 7793591 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 14028445800 in words is "fourteen billion, twenty-eight million, four hundred forty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 7793581 15587162 23380743 31174324 38967905 46761486 62348648 70142229 77935810 93522972 116903715 140284458 155871620 187045944 194839525 233807430 280568916 311743240 350711145 389679050 467614860 561137832 584518575 701422290 779358100 935229720 1169037150 1402844580 1558716200 1753555725 2338074300 2805689160 3507111450 4676148600 7014222900 14028445800