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440534404435044 = 22355765908797791
BaseRepresentation
bin110010000101010011110100…
…0101100000000110001100100
32010202210200022002102020002210
41210022213220230000301210
5430220203430013410134
64200534413405003420
7161535363134524053
oct14412475054006144
92122720262366083
10440534404435044
11118405656660457
12414aa628853570
1315ba72a6981c4a
147aadd9c30239a
1535de49e0ba2e9
hex190a9e8b00c64

440534404435044 has 24 divisors (see below), whose sum is σ = 1029759056702208. Its totient is φ = 146581166284960.

The previous prime is 440534404435039. The next prime is 440534404435057.

440534404435044 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4405344044350442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440534404434984 and 440534404435002.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32954392212 + ... + 32954405579.

It is an arithmetic number, because the mean of its divisors is an integer number (42906627362592).

Almost surely, 2440534404435044 is an apocalyptic number.

It is an amenable number.

440534404435044 is an abundant number, since it is smaller than the sum of its proper divisors (589224652267164).

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

440534404435044 is a wasteful number, since it uses less digits than its factorization.

440534404435044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65908798355 (or 65908798353 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 48.

It can be divided in two parts, 44053440 and 4435044, that added together give a palindrome (48488484).

The spelling of 440534404435044 in words is "four hundred forty trillion, five hundred thirty-four billion, four hundred four million, four hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 12 557 1114 1671 2228 3342 6684 65908797791 131817595582 197726393373 263635191164 395452786746 790905573492 36711200369587 73422400739174 110133601108761 146844801478348 220267202217522 440534404435044