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134414414431 = 1153230556457
BaseRepresentation
bin111110100101110111…
…0010011001001011111
3110211221120102201210121
41331023232103021133
54200240042230211
6141425451215411
712465625446163
oct1751356231137
9424846381717
10134414414431
1152006484020
1222073147567
13c8a161378b
146711896ca3
15376a698271
hex1f4bb9325f

134414414431 has 8 divisors (see below), whose sum is σ = 149400584784. Its totient is φ = 119889357120.

The previous prime is 134414414429. The next prime is 134414414447.

134414414431 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 134414414431 - 21 = 134414414429 is a prime.

It is a super-2 number, since 2×1344144144312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134414444431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115277646 + ... + 115278811.

It is an arithmetic number, because the mean of its divisors is an integer number (18675073098).

Almost surely, 2134414414431 is an apocalyptic number.

134414414431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134414414431 is a deficient number, since it is larger than the sum of its proper divisors (14986170353).

134414414431 is a wasteful number, since it uses less digits than its factorization.

134414414431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230556521.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 134414 and 414431, that added together give a palindrome (548845).

The spelling of 134414414431 in words is "one hundred thirty-four billion, four hundred fourteen million, four hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 11 53 583 230556457 2536121027 12219492221 134414414431