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8144312813 = 713224339901
BaseRepresentation
bin1111001010111000…
…00101100111101101
3210000120221221212022
413211130011213231
5113134421002223
63424052515525
7405552342140
oct74534054755
923016857768
108144312813
1134aa28583a
1216b361bba5
139ca400510
14573912057
1532a004ac8
hex1e57059ed

8144312813 has 16 divisors (see below), whose sum is σ = 10028489856. Its totient is φ = 6440817600.

The previous prime is 8144312809. The next prime is 8144312821. The reversal of 8144312813 is 3182134418.

It is not a de Polignac number, because 8144312813 - 22 = 8144312809 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8144314813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184163 + ... + 224063.

It is an arithmetic number, because the mean of its divisors is an integer number (626780616).

Almost surely, 28144312813 is an apocalyptic number.

It is an amenable number.

8144312813 is a deficient number, since it is larger than the sum of its proper divisors (1884177043).

8144312813 is a wasteful number, since it uses less digits than its factorization.

8144312813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42164.

The product of its digits is 18432, while the sum is 35.

The square root of 8144312813 is about 90245.8465138424. The cubic root of 8144312813 is about 2011.9544706980.

The spelling of 8144312813 in words is "eight billion, one hundred forty-four million, three hundred twelve thousand, eight hundred thirteen".

Divisors: 1 7 13 91 2243 15701 29159 39901 204113 279307 518713 3630991 89497943 626485601 1163473259 8144312813