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13114434816 = 28337477379
BaseRepresentation
bin11000011011010111…
…00110010100000000
31020211222010022112000
430031223212110000
5203324243403231
610005155504000
7642662566560
oct141553462400
936758108460
1013114434816
11561a835a8a
12265bbb8000
13130ccca802
148c5a36da0
1551b5086e6
hex30dae6500

13114434816 has 576 divisors, whose sum is σ = 46465843200. Its totient is φ = 3571236864.

The previous prime is 13114434803. The next prime is 13114434829. The reversal of 13114434816 is 61843441131.

13114434816 is a `hidden beast` number, since 1 + 31 + 144 + 3 + 481 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13114434803) and next prime (13114434829).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×131144348162 (a number of 21 digits) contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166005465 + ... + 166005543.

Almost surely, 213114434816 is an apocalyptic number.

13114434816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23232921600).

13114434816 is an abundant number, since it is smaller than the sum of its proper divisors (33351408384).

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

13114434816 is an equidigital number, since it uses as much as digits as its factorization.

13114434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 13114434816 its reverse (61843441131), we get a palindrome (74957875947).

The spelling of 13114434816 in words is "thirteen billion, one hundred fourteen million, four hundred thirty-four thousand, eight hundred sixteen".