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442014132021 = 371111031734797
BaseRepresentation
bin1100110111010100001…
…10000110011100110101
31120020220201120102012120
412123222012012130311
524220221104211041
6535020344510153
743635344062560
oct6335206063465
91506821512176
10442014132021
111605034aa660
12717b977b359
13328b2a754a7
14175720674d7
15b770135366
hex66ea186735

442014132021 has 32 divisors (see below), whose sum is σ = 735443324928. Its totient is φ = 229409423040.

The previous prime is 442014132013. The next prime is 442014132097. The reversal of 442014132021 is 120231410244.

It is not a de Polignac number, because 442014132021 - 23 = 442014132013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442014131982 and 442014132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442014112021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612606 + ... + 1122191.

It is an arithmetic number, because the mean of its divisors is an integer number (22982603904).

Almost surely, 2442014132021 is an apocalyptic number.

It is an amenable number.

442014132021 is a deficient number, since it is larger than the sum of its proper divisors (293429192907).

442014132021 is a wasteful number, since it uses less digits than its factorization.

442014132021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735921.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 442014132021 its reverse (120231410244), we get a palindrome (562245542265).

The spelling of 442014132021 in words is "four hundred forty-two billion, fourteen million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 7 11 21 33 77 231 1103 3309 7721 12133 23163 36399 84931 254793 1734797 5204391 12143579 19082767 36430737 57248301 133579369 400738107 1913481091 5740443273 13394367637 21048292001 40183102911 63144876003 147338044007 442014132021