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134513202315431 = 2989325716001443
BaseRepresentation
bin11110100101011011001011…
…101001000100000010100111
3122122021100002100101211000002
4132211123023221010002213
5120112331014243043211
61154030302334411515
740222154356341632
oct3645331351040247
9578240070354002
10134513202315431
1139950801a56285
1213105687360b9b
135a09704788544
14253068bcb2c19
151083ee524e03b
hex7a56cba440a7

134513202315431 has 16 divisors (see below), whose sum is σ = 140758302290400. Its totient is φ = 128376112854528.

The previous prime is 134513202315367. The next prime is 134513202315449.

It is a happy number.

134513202315431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 134513202315431 - 26 = 134513202315367 is a prime.

It is a super-2 number, since 2×1345132023154312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134510202315431) 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 15 ways as a sum of consecutive naturals, for example, 405596 + ... + 16407038.

It is an arithmetic number, because the mean of its divisors is an integer number (8797393893150).

Almost surely, 2134513202315431 is an apocalyptic number.

134513202315431 is a deficient number, since it is larger than the sum of its proper divisors (6245099974969).

134513202315431 is a wasteful number, since it uses less digits than its factorization.

134513202315431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16004818.

The product of its (nonzero) digits is 129600, while the sum is 38.

It can be divided in two parts, 13451320 and 2315431, that added together give a palindrome (15766751).

The spelling of 134513202315431 in words is "one hundred thirty-four trillion, five hundred thirteen billion, two hundred two million, three hundred fifteen thousand, four hundred thirty-one".

Divisors: 1 29 89 2581 3257 94453 289873 8406317 16001443 464041847 1424128427 41299724383 52116699851 1511384295679 4638386286739 134513202315431