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44314201242311 = 71113211209810101
BaseRepresentation
bin10100001001101101101000…
…01110010011101011000111
312210220101200212200121010012
422010312310032103223013
521302020441004223221
6234125355113220435
712222411134411150
oct1204666416235307
9183811625617105
1044314201242311
1113135602372530
124b7848040171b
131b95a71401550
14ad2b66a5a927
1551caa9ebb65b
hex284db4393ac7

44314201242311 has 32 divisors (see below), whose sum is σ = 59780772742656. Its totient is φ = 31723287120000.

The previous prime is 44314201242277. The next prime is 44314201242331. The reversal of 44314201242311 is 11324210241344.

44314201242311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-44314201242311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44314201242331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104693840 + ... + 105116261.

It is an arithmetic number, because the mean of its divisors is an integer number (1868149148208).

Almost surely, 244314201242311 is an apocalyptic number.

44314201242311 is a deficient number, since it is larger than the sum of its proper divisors (15466571500345).

44314201242311 is a wasteful number, since it uses less digits than its factorization.

44314201242311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209810343.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 44314201242311 its reverse (11324210241344), we get a palindrome (55638411483655).

The spelling of 44314201242311 in words is "forty-four trillion, three hundred fourteen billion, two hundred one million, two hundred forty-two thousand, three hundred eleven".

Divisors: 1 7 11 13 77 91 143 211 1001 1477 2321 2743 16247 19201 30173 211211 209810101 1468670707 2307911111 2727531313 16155377777 19092719191 30002844443 44269931311 210019911101 309889519177 486969244421 575509107043 3408784710947 4028563749301 6330600177473 44314201242311