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14457032240 = 245725816129
BaseRepresentation
bin11010111011011010…
…01100111000110000
31101022112110022221112
431131231030320300
5214102000012430
610350320212452
71021154514020
oct153555147060
941275408845
1014457032240
116149688332
12297576a128
1314951cb661
149b2085a80
15599310195
hex35db4ce30

14457032240 has 40 divisors (see below), whose sum is σ = 38414401440. Its totient is φ = 4956696576.

The previous prime is 14457032221. The next prime is 14457032287. The reversal of 14457032240 is 4223075441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14457032197 and 14457032206.

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, 12907505 + ... + 12908624.

It is an arithmetic number, because the mean of its divisors is an integer number (960360036).

Almost surely, 214457032240 is an apocalyptic number.

14457032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14457032240 is an abundant number, since it is smaller than the sum of its proper divisors (23957369200).

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

14457032240 is a wasteful number, since it uses less digits than its factorization.

14457032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25816149 (or 25816143 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The spelling of 14457032240 in words is "fourteen billion, four hundred fifty-seven million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 25816129 51632258 103264516 129080645 180712903 206529032 258161290 361425806 413058064 516322580 722851612 903564515 1032645160 1445703224 1807129030 2065290320 2891406448 3614258060 7228516120 14457032240