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134444444431 = 113412719091
BaseRepresentation
bin111110100110110000…
…0110110101100001111
3110212000122221102012211
41331031200312230033
54200320234210211
6141432443011251
712466441631203
oct1751540665417
9425018842184
10134444444431
1152021425000
1222081209b27
13c8a78c92cb
146715872b03
15376d12ae21
hex1f4d836b0f

134444444431 has 32 divisors (see below), whose sum is σ = 152061299712. Its totient is φ = 118788120000.

The previous prime is 134444444419. The next prime is 134444444447.

134444444431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134444444431 - 29 = 134444443919 is a prime.

It is a super-2 number, since 2×1344444444312 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134444444401) 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, 14784196 + ... + 14793286.

It is an arithmetic number, because the mean of its divisors is an integer number (4751915616).

Almost surely, 2134444444431 is an apocalyptic number.

134444444431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134444444431 is a deficient number, since it is larger than the sum of its proper divisors (17616855281).

134444444431 is an equidigital number, since it uses as much as digits as its factorization.

134444444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9436 (or 9414 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 134444 and 444431, that added together give a palindrome (578875).

The spelling of 134444444431 in words is "one hundred thirty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 11 41 121 271 451 1331 2981 4961 9091 11111 32791 54571 100001 122221 360701 372731 1100011 1344431 2463661 4100041 12100121 14788741 27100271 45100451 101010101 298102981 496104961 1111111111 3279132791 12222222221 134444444431