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6044114406 = 231191577491
BaseRepresentation
bin1011010000100000…
…11101110111100110
3120121020001211021010
411220100131313212
544334243130111
62435430203050
7302531060541
oct55020356746
916536054233
106044114406
112621821680
1212081b3486
13754273275
14414a13858
1525594daa6
hex16841dde6

6044114406 has 16 divisors (see below), whose sum is σ = 13187158848. Its totient is φ = 1831549800.

The previous prime is 6044114393. The next prime is 6044114411.

6044114406 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45788680 + ... + 45788811.

It is an arithmetic number, because the mean of its divisors is an integer number (824197428).

Almost surely, 26044114406 is an apocalyptic number.

6044114406 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6044114406 is an abundant number, since it is smaller than the sum of its proper divisors (7143044442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6044114406 is a wasteful number, since it uses less digits than its factorization.

6044114406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91577507.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6044114406 is about 77743.9026933945. The cubic root of 6044114406 is about 1821.5631225575.

It can be divided in two parts, 60441 and 14406, that added together give a palindrome (74847).

The spelling of 6044114406 in words is "six billion, forty-four million, one hundred fourteen thousand, four hundred six".

Divisors: 1 2 3 6 11 22 33 66 91577491 183154982 274732473 549464946 1007352401 2014704802 3022057203 6044114406