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442104401244 = 223114577328831
BaseRepresentation
bin1100110111011110111…
…10011100110101011100
31120021011000102120022010
412123233132130311130
524220412211314434
6535033331351220
743640521256262
oct6335736346534
91507130376263
10442104401244
1116054a455220
1271823a52510
13328c868cb2c
1417580044432
15b7780169e9
hex66ef79cd5c

442104401244 has 48 divisors (see below), whose sum is σ = 1127819298816. Its totient is φ = 133677859200.

The previous prime is 442104401203. The next prime is 442104401261.

442104401244 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3604092 + ... + 3724739.

It is an arithmetic number, because the mean of its divisors is an integer number (23496235392).

Almost surely, 2442104401244 is an apocalyptic number.

442104401244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442104401244 is an abundant number, since it is smaller than the sum of its proper divisors (685714897572).

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

442104401244 is a wasteful number, since it uses less digits than its factorization.

442104401244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329306 (or 7329304 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 442104 and 401244, that added together give a palindrome (843348).

The spelling of 442104401244 in words is "four hundred forty-two billion, one hundred four million, four hundred one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 457 914 1371 1828 2742 5027 5484 10054 15081 20108 30162 60324 7328831 14657662 21986493 29315324 43972986 80617141 87945972 161234282 241851423 322468564 483702846 967405692 3349275767 6698551534 10047827301 13397103068 20095654602 36842033437 40191309204 73684066874 110526100311 147368133748 221052200622 442104401244