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442348843244 = 227112314211723
BaseRepresentation
bin1100110111111100000…
…10111011000011101100
31120021210001101111200112
412123332002323003230
524221412300440434
6535113502515152
743646550062210
oct6337602730354
91507701344615
10442348843244
11160665432100
1271891895ab8
1332937207779
14175a46b4940
15b78e6eddce
hex66fe0bb0ec

442348843244 has 72 divisors (see below), whose sum is σ = 1003805451264. Its totient is φ = 166784191200.

The previous prime is 442348843219. The next prime is 442348843259.

442348843244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442348843192 and 442348843201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2000834 + ... + 2210889.

Almost surely, 2442348843244 is an apocalyptic number.

442348843244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442348843244 is an abundant number, since it is smaller than the sum of its proper divisors (561456608020).

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

442348843244 is a wasteful number, since it uses less digits than its factorization.

442348843244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211787 (or 4211774 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 50.

The spelling of 442348843244 in words is "four hundred forty-two billion, three hundred forty-eight million, eight hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 121 124 154 217 242 308 341 434 484 682 847 868 1364 1694 2387 3388 3751 4774 7502 9548 15004 26257 52514 105028 4211723 8423446 16846892 29482061 46328953 58964122 92657906 117928244 130563413 185315812 261126826 324302671 509618483 522253652 648605342 913943891 1019236966 1297210684 1436197543 1827887782 2038473932 2872395086 3567329381 3655775564 5744790172 7134658762 10053382801 14269317524 15798172973 20106765602 31596345946 40213531204 63192691892 110587210811 221174421622 442348843244