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442020404004 = 22348023767029
BaseRepresentation
bin1100110111010100111…
…10000001101100100100
31120020221011101001202020
412123222132001230210
524220224210412004
6535021131143140
743635451304334
oct6335236015444
91506834331666
10442020404004
11160506aa3913
12717bb8a4ab0
13328b416021a
1417572c1b0c4
15b7709738d9
hex66ea781b24

442020404004 has 24 divisors (see below), whose sum is σ = 1031403764160. Its totient is φ = 147336874464.

The previous prime is 442020403933. The next prime is 442020404011. The reversal of 442020404004 is 400404020244.

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, 192762 + ... + 959790.

It is an arithmetic number, because the mean of its divisors is an integer number (42975156840).

Almost surely, 2442020404004 is an apocalyptic number.

It is an amenable number.

442020404004 is an abundant number, since it is smaller than the sum of its proper divisors (589383360156).

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

442020404004 is a wasteful number, since it uses less digits than its factorization.

442020404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815059 (or 815057 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 442020404004 its reverse (400404020244), we get a palindrome (842424424248).

The spelling of 442020404004 in words is "four hundred forty-two billion, twenty million, four hundred four thousand, four".

Divisors: 1 2 3 4 6 12 48023 96046 144069 192092 288138 576276 767029 1534058 2301087 3068116 4602174 9204348 36835033667 73670067334 110505101001 147340134668 221010202002 442020404004