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134454454431 = 31147433919979
BaseRepresentation
bin111110100111000011…
…1000010100010011111
3110212001100202222100120
41331032013002202133
54200330320020211
6141433441330023
712466623001653
oct1751607024237
9425040688316
10134454454431
1152027041730
1222084636913
13c8a99c259b
146716d1aa63
15376de56d06
hex1f4e1c289f

134454454431 has 32 divisors (see below), whose sum is σ = 199787212800. Its totient is φ = 79731398880.

The previous prime is 134454454289. The next prime is 134454454451.

134454454431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134454454431 - 223 = 134446065823 is a prime.

It is a super-2 number, since 2×1344544544312 (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 (134454454451) 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, 6719800 + ... + 6739778.

It is an arithmetic number, because the mean of its divisors is an integer number (6243350400).

Almost surely, 2134454454431 is an apocalyptic number.

134454454431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134454454431 is a deficient number, since it is larger than the sum of its proper divisors (65332758369).

134454454431 is a wasteful number, since it uses less digits than its factorization.

134454454431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24379.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 134454 and 454431, that added together give a palindrome (588885).

The spelling of 134454454431 in words is "one hundred thirty-four billion, four hundred fifty-four million, four hundred fifty-four thousand, four hundred thirty-one".

Divisors: 1 3 11 33 47 141 517 1551 4339 13017 19979 47729 59937 143187 203933 219769 611799 659307 939013 2243263 2817039 6729789 10329143 30987429 86688881 260066643 953577691 2860733073 4074377407 12223132221 44818151477 134454454431