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134259952431 = 31137947116113
BaseRepresentation
bin111110100001010000…
…1000100101100101111
3110211112210210020202210
41331002201010230233
54144431021434211
6141402252421503
712462041523513
oct1750241045457
9424483706683
10134259952431
1151a37274480
122202b477893
13c878611947
1466d916a143
15375bd369a6
hex1f42844b2f

134259952431 has 32 divisors (see below), whose sum is σ = 200778755328. Its totient is φ = 79086205440.

The previous prime is 134259952427. The next prime is 134259952439.

134259952431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134259952431 - 22 = 134259952427 is a prime.

It is a super-2 number, since 2×1342599524312 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134259952439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098231 + ... + 1214343.

It is an arithmetic number, because the mean of its divisors is an integer number (6274336104).

Almost surely, 2134259952431 is an apocalyptic number.

134259952431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134259952431 is a deficient number, since it is larger than the sum of its proper divisors (66518802897).

134259952431 is a wasteful number, since it uses less digits than its factorization.

134259952431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117111.

The product of its digits is 1166400, while the sum is 48.

The spelling of 134259952431 in words is "one hundred thirty-four billion, two hundred fifty-nine million, nine hundred fifty-two thousand, four hundred thirty-one".

Divisors: 1 3 11 33 37 111 407 947 1221 2841 10417 31251 35039 105117 116113 348339 385429 1156287 1277243 3831729 4296181 12888543 47257991 109959011 141773973 329877033 1209549121 3628647363 4068483407 12205450221 44753317477 134259952431