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542116403442 = 23271862349193
BaseRepresentation
bin1111110001110001010…
…01111101100011110010
31220211022000122200110200
413320320221331203302
532340223244402232
61053013403540030
754111102253515
oct7707051754362
91824260580420
10542116403442
11199a01638799
128909582a616
133c176812563
141c34a90ad7c
15e17d32277c
hex7e38a7d8f2

542116403442 has 48 divisors (see below), whose sum is σ = 1191291349248. Its totient is φ = 178136038080.

The previous prime is 542116403441. The next prime is 542116403449. The reversal of 542116403442 is 244304611245.

542116403442 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 1 + 640 + 3 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 542116403397 and 542116403406.

It is not an unprimeable number, because it can be changed into a prime (542116403441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10995598 + ... + 11044790.

It is an arithmetic number, because the mean of its divisors is an integer number (24818569776).

Almost surely, 2542116403442 is an apocalyptic number.

542116403442 is an abundant number, since it is smaller than the sum of its proper divisors (649174945806).

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

542116403442 is a wasteful number, since it uses less digits than its factorization.

542116403442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57895 (or 57892 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 542116403442 in words is "five hundred forty-two billion, one hundred sixteen million, four hundred three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 8623 17246 25869 49193 51738 77607 98386 147579 155214 295158 442737 612233 885474 1224466 1836699 3492703 3673398 5510097 6985406 10478109 11020194 20956218 31434327 62868654 424191239 848382478 1272573717 2545147434 3817721151 7635442302 30117577969 60235155938 90352733907 180705467814 271058201721 542116403442