Search a number
-
+
135444484444531 = 4733165913211437
BaseRepresentation
bin11110110010111110100000…
…011000011101000101110011
3122202120100220000000201002111
4132302332200120131011303
5120223110301004211111
61200022200454430151
740346353406001013
oct3662764030350563
9582510800021074
10135444484444531
113a17a757490729
121323606b962357
135a7648b1283c2
142563795ad1c43
15109d34dc14a21
hex7b2fa061d173

135444484444531 has 16 divisors (see below), whose sum is σ = 138954734138880. Its totient is φ = 131961635799840.

The previous prime is 135444484444523. The next prime is 135444484444697.

It is a happy number.

135444484444531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135444484444531 - 23 = 135444484444523 is a prime.

It is a super-2 number, since 2×1354444844445312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135444484144531) 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, 3646345 + ... + 16857781.

It is an arithmetic number, because the mean of its divisors is an integer number (8684670883680).

Almost surely, 2135444484444531 is an apocalyptic number.

135444484444531 is a deficient number, since it is larger than the sum of its proper divisors (3510249694349).

135444484444531 is a wasteful number, since it uses less digits than its factorization.

135444484444531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13212474.

The product of its digits is 117964800, while the sum is 58.

The spelling of 135444484444531 in words is "one hundred thirty-five trillion, four hundred forty-four billion, four hundred eighty-four million, four hundred forty-four thousand, five hundred thirty-one".

Divisors: 1 47 331 659 15557 30973 218129 10252063 13211437 620937539 4372985647 8706336983 205530325409 409197838201 2881797541373 135444484444531