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442456101654244 = 22541481920428019
BaseRepresentation
bin110010010011010010101011…
…0110001001000111011100100
32011000121101112110202200010021
41210212211112301020323210
5430443200044010413434
64205005305501404524
7162124253444421346
oct14446452661107344
92130541473680107
10442456101654244
11118a86640639057
124175ab59269744
1315cb657b8c6112
147b38dbd5b7296
153624472acdcb4
hex1926956c48ee4

442456101654244 has 12 divisors (see below), whose sum is σ = 774298358794800. Its totient is φ = 221227999141448.

The previous prime is 442456101654169. The next prime is 442456101654277.

442456101654244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4424561016542442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442456101654191 and 442456101654200.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11445267 + ... + 31873285.

It is an arithmetic number, because the mean of its divisors is an integer number (64524863232900).

Almost surely, 2442456101654244 is an apocalyptic number.

It is an amenable number.

442456101654244 is a deficient number, since it is larger than the sum of its proper divisors (331842257140556).

442456101654244 is a wasteful number, since it uses less digits than its factorization.

442456101654244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25842842 (or 25842840 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 52.

It can be divided in two parts, 44245610 and 1654244, that added together give a palindrome (45899854).

The spelling of 442456101654244 in words is "four hundred forty-two trillion, four hundred fifty-six billion, one hundred one million, six hundred fifty-four thousand, two hundred forty-four".

Divisors: 1 2 4 5414819 10829638 20428019 21659276 40856038 81712076 110614025413561 221228050827122 442456101654244