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53144333344135 = 5113117187432301
BaseRepresentation
bin11000001010101101000010…
…00111000101110110000111
320222011112210222002002222101
430011112201013011312013
523431204043314003020
6305010100353212531
714123360060024665
oct1405264107056607
9228145728062871
1053144333344135
1115a2a426780550
125b63889861147
13238664880a507
14d1a2b1455c35
1562261574400a
hex3055a11c5d87

53144333344135 has 32 divisors (see below), whose sum is σ = 69804336536064. Its totient is φ = 38520696720000.

The previous prime is 53144333344087. The next prime is 53144333344139.

53144333344135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53144333344135 - 213 = 53144333335943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53144333344139) 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, 122717485 + ... + 123149785.

It is an arithmetic number, because the mean of its divisors is an integer number (2181385516752).

Almost surely, 253144333344135 is an apocalyptic number.

53144333344135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53144333344135 is a deficient number, since it is larger than the sum of its proper divisors (16660003191929).

53144333344135 is a wasteful number, since it uses less digits than its factorization.

53144333344135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439815.

The product of its digits is 4665600, while the sum is 46.

It can be divided in two parts, 5314433 and 3344135, that added together give a palindrome (8658568).

The spelling of 53144333344135 in words is "fifty-three trillion, one hundred forty-four billion, three hundred thirty-three million, three hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 5 11 55 311 1555 3421 7187 17105 35935 79057 395285 432301 2161505 2235157 4755311 11175785 23776555 24586727 122933635 134445611 672228055 1478901721 3106947287 7394508605 15534736435 34176420157 170882100785 966260606257 4831303031285 10628866668827 53144333344135