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13940492288 = 21126092
BaseRepresentation
bin11001111101110101…
…10000100000000000
31022222112111101100012
430332322300200000
5212022231223123
610223145044052
71002313141442
oct147672604000
938875441305
1013940492288
115a04054208
122850786628
1314121a5008
14963626492
15568ccb378
hex33eeb0800

13940492288 has 36 divisors (see below), whose sum is σ = 27884865645. Its totient is φ = 6967574528.

The previous prime is 13940492281. The next prime is 13940492309. The reversal of 13940492288 is 88229404931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 13935330304 + 5161984 = 118048^2 + 2272^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=83488.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13940492281) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5341928 + ... + 5344536.

Almost surely, 213940492288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13940492288

13940492288 is an abundant number, since it is smaller than the sum of its proper divisors (13944373357).

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

13940492288 is an frugal number, since it uses more digits than its factorization.

13940492288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

Multiplying 13940492288 by its sum of digits (50), we get a square (697024614400 = 8348802).

The spelling of 13940492288 in words is "thirteen billion, nine hundred forty million, four hundred ninety-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2609 5218 10436 20872 41744 83488 166976 333952 667904 1335808 2671616 5343232 6806881 13613762 27227524 54455048 108910096 217820192 435640384 871280768 1742561536 3485123072 6970246144 13940492288