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134246642431 = 11251293165947
BaseRepresentation
bin111110100000110111…
…0010011001011111111
3110211111212202000212211
41331001232103023333
54144414120024211
6141401055241251
712461520430036
oct1750156231377
9424455660784
10134246642431
1151a2a803480
1222026b19227
13c8759315c5
1466d74a371d
15375aaa7e21
hex1f41b932ff

134246642431 has 16 divisors (see below), whose sum is σ = 147537065088. Its totient is φ = 121140580000.

The previous prime is 134246642429. The next prime is 134246642461.

134246642431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134246642431 - 21 = 134246642429 is a prime.

It is a super-2 number, since 2×1342466424312 (a number of 23 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 (134246642461) 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, 726000 + ... + 891946.

It is an arithmetic number, because the mean of its divisors is an integer number (9221066568).

Almost surely, 2134246642431 is an apocalyptic number.

134246642431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134246642431 is a deficient number, since it is larger than the sum of its proper divisors (13290422657).

134246642431 is a wasteful number, since it uses less digits than its factorization.

134246642431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166502.

The product of its digits is 331776, while the sum is 40.

It can be divided in two parts, 134246 and 642431, that added together give a palindrome (776677).

The spelling of 134246642431 in words is "one hundred thirty-four billion, two hundred forty-six million, six hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 11 251 293 2761 3223 73543 165947 808973 1825417 41652697 48622471 458179667 534847181 12204240221 134246642431