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13942923264 = 21332281673
BaseRepresentation
bin11001111110001000…
…00010000000000000
31022222201001220000100
430333010002000000
5212023342021024
610223313122400
71002342615024
oct147704020000
938881056010
1013942923264
115a05464686
122851559400
13141284666a
14963a9a384
1556910b7c9
hex33f102000

13942923264 has 168 divisors, whose sum is σ = 40480492572. Its totient is φ = 4624220160.

The previous prime is 13942923263. The next prime is 13942923307. The reversal of 13942923264 is 46232924931.

13942923264 is a `hidden beast` number, since 1 + 39 + 4 + 292 + 326 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13942886400 + 36864 = 118080^2 + 192^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13942923263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20717232 + ... + 20717904.

Almost surely, 213942923264 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 13942923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20240246286).

13942923264 is an abundant number, since it is smaller than the sum of its proper divisors (26537569308).

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

13942923264 is an equidigital number, since it uses as much as digits as its factorization.

13942923264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 959 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 13942923264 in words is "thirteen billion, nine hundred forty-two million, nine hundred twenty-three thousand, two hundred sixty-four".