Search a number
-
+
44322011022344 = 2311503659216163
BaseRepresentation
bin10100001001111100001011…
…01110010000010000001000
312210221010212011011112021112
422010332011232100100020
521302132434310203334
6234133130100025452
712223105515426146
oct1204760556202010
9183833764145245
1044322011022344
111313894a8278a0
124b79a9b992288
131b96717402a73
14ad32a7d6a596
1551cdb59404ce
hex284f85b90408

44322011022344 has 16 divisors (see below), whose sum is σ = 90658658909520. Its totient is φ = 20146368646480.

The previous prime is 44322011022329. The next prime is 44322011022347.

It is a happy number.

44322011022344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×443220110223442 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44322011022344.

It is not an unprimeable number, because it can be changed into a prime (44322011022347) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 251829607994 + ... + 251829608169.

It is an arithmetic number, because the mean of its divisors is an integer number (5666166181845).

Almost surely, 244322011022344 is an apocalyptic number.

44322011022344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44322011022344 is an abundant number, since it is smaller than the sum of its proper divisors (46336647887176).

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

44322011022344 is a wasteful number, since it uses less digits than its factorization.

44322011022344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503659216180 (or 503659216176 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 4432201 and 1022344, that added together give a palindrome (5454545).

The spelling of 44322011022344 in words is "forty-four trillion, three hundred twenty-two billion, eleven million, twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 503659216163 1007318432326 2014636864652 4029273729304 5540251377793 11080502755586 22161005511172 44322011022344