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202040311842 = 232171933421049
BaseRepresentation
bin1011110000101010001…
…0101000000000100010
3201022111112111021011200
42330022202220000202
511302234304434332
6232452133022030
720411514213015
oct2741242500042
9638445437150
10202040311842
1178759541736
12331a6a84916
131608ac3bca5
149ac907137c
1553c764b17c
hex2f0a8a8022

202040311842 has 48 divisors (see below), whose sum is σ = 465905957400. Its totient is φ = 63056756736.

The previous prime is 202040311831. The next prime is 202040311849. The reversal of 202040311842 is 248113040202.

202040311842 is a `hidden beast` number, since 202 + 0 + 403 + 1 + 18 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199452453201 + 2587858641 = 446601^2 + 50871^2 .

It is not an unprimeable number, because it can be changed into a prime (202040311849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1651467 + ... + 1769582.

Almost surely, 2202040311842 is an apocalyptic number.

202040311842 is an abundant number, since it is smaller than the sum of its proper divisors (263865645558).

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

202040311842 is a wasteful number, since it uses less digits than its factorization.

202040311842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421267 (or 3421264 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 202040311842 in words is "two hundred two billion, forty million, three hundred eleven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 193 306 386 579 1158 1737 3281 3474 6562 9843 19686 29529 59058 3421049 6842098 10263147 20526294 30789441 58157833 61578882 116315666 174473499 348946998 523420497 660262457 1046840994 1320524914 1980787371 3961574742 5942362113 11224461769 11884724226 22448923538 33673385307 67346770614 101020155921 202040311842