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442135501434 = 23311744335861
BaseRepresentation
bin1100110111100010101…
…01000101101001111010
31120021020011221121202000
412123301111011221322
524220443142021214
6535040402121430
743641346516344
oct6336125055172
91507204847660
10442135501434
11160565a67260
1271832350276
1332901c5b803
141758421c294
15b77ab0b809
hex66f1545a7a

442135501434 has 32 divisors (see below), whose sum is σ = 1071843641280. Its totient is φ = 133980454800.

The previous prime is 442135501351. The next prime is 442135501477. The reversal of 442135501434 is 434105531244.

442135501434 is a `hidden beast` number, since 4 + 4 + 213 + 5 + 5 + 0 + 1 + 434 = 666.

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, 372167337 + ... + 372168524.

It is an arithmetic number, because the mean of its divisors is an integer number (33495113790).

Almost surely, 2442135501434 is an apocalyptic number.

442135501434 is an abundant number, since it is smaller than the sum of its proper divisors (629708139846).

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

442135501434 is a wasteful number, since it uses less digits than its factorization.

442135501434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744335883 (or 744335877 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 442135501434 in words is "four hundred forty-two billion, one hundred thirty-five million, five hundred one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 744335861 1488671722 2233007583 4466015166 6699022749 8187694471 13398045498 16375388942 20097068247 24563083413 40194136494 49126166826 73689250239 147378500478 221067750717 442135501434