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310440044013 = 31153434940813
BaseRepresentation
bin1001000010001111010…
…10110010010111101101
31002200022002201012202220
410201013222302113231
520041240122402023
6354340355305553
731266664556421
oct4410752622755
91080262635686
10310440044013
1110a725347950
12501b98ab2b9
1323374a3b248
141104d8d0b81
15811dee03e3
hex4847ab25ed

310440044013 has 32 divisors (see below), whose sum is σ = 460186012800. Its totient is φ = 184548599040.

The previous prime is 310440044011. The next prime is 310440044023.

310440044013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310440044013 - 21 = 310440044011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310440044011) 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, 7585995 + ... + 7626807.

It is an arithmetic number, because the mean of its divisors is an integer number (14380812900).

Almost surely, 2310440044013 is an apocalyptic number.

310440044013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

310440044013 is a deficient number, since it is larger than the sum of its proper divisors (149745968787).

310440044013 is a wasteful number, since it uses less digits than its factorization.

310440044013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45229.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 3104400 and 44013, that added together give a palindrome (3148413).

The spelling of 310440044013 in words is "three hundred ten billion, four hundred forty million, forty-four thousand, thirteen".

Divisors: 1 3 11 33 53 159 583 1749 4349 13047 40813 47839 122439 143517 230497 448943 691491 1346829 2163089 2535467 6489267 7606401 23793979 71381937 177495737 532487211 1952453107 5857359321 9407274061 28221822183 103480014671 310440044013