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135444444531 = 31137110929111
BaseRepresentation
bin111111000100100011…
…1100011010101110011
3110221121100121200110120
41332021013203111303
54204342234211111
6142120004301323
712533303532324
oct1761107432563
9427540550416
10135444444531
1152494948970
12223000a1843
13ca06b36546
1467ac5c044b
1537cad0c406
hex1f891e3573

135444444531 has 16 divisors (see below), whose sum is σ = 202334700288. Its totient is φ = 79868959200.

The previous prime is 135444444511. The next prime is 135444444587.

135444444531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135444444531 - 213 = 135444436339 is a prime.

It is a super-2 number, since 2×1354444445312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135444444511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55463335 + ... + 55465776.

It is an arithmetic number, because the mean of its divisors is an integer number (12645918768).

Almost surely, 2135444444531 is an apocalyptic number.

135444444531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135444444531 is a deficient number, since it is larger than the sum of its proper divisors (66890255757).

135444444531 is a wasteful number, since it uses less digits than its factorization.

135444444531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110929162.

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

It can be divided in two parts, 135444 and 444531, that added together give a palindrome (579975).

The spelling of 135444444531 in words is "one hundred thirty-five billion, four hundred forty-four million, four hundred forty-four thousand, five hundred thirty-one".

Divisors: 1 3 11 33 37 111 407 1221 110929111 332787333 1220220221 3660660663 4104377107 12313131321 45148148177 135444444531