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542240323506 = 232717253146743
BaseRepresentation
bin1111110010000000000…
…10101011011110110010
31220211121122211110211200
413321000002223132302
532341002010323011
61053033551552030
754114135462510
oct7710002533662
91824548743750
10542240323506
11199a65587772
128910b22b616
133c1963ac83b
141c35d1674b0
15e18914e856
hex7e400ab7b2

542240323506 has 48 divisors (see below), whose sum is σ = 1421672114304. Its totient is φ = 145812523392.

The previous prime is 542240323459. The next prime is 542240323511. The reversal of 542240323506 is 605323042245.

542240323506 is a `hidden beast` number, since 5 + 42 + 240 + 323 + 50 + 6 = 666.

It is a super-2 number, since 2×5422403235062 (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 126571230 + ... + 126575513.

It is an arithmetic number, because the mean of its divisors is an integer number (29618169048).

Almost surely, 2542240323506 is an apocalyptic number.

542240323506 is an abundant number, since it is smaller than the sum of its proper divisors (879431790798).

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

542240323506 is a wasteful number, since it uses less digits than its factorization.

542240323506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253146775 (or 253146772 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 542240323506 in words is "five hundred forty-two billion, two hundred forty million, three hundred twenty-three thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 253146743 506293486 759440229 1518880458 1772027201 2278320687 3544054402 4303494631 4556641374 5316081603 8606989262 10632163206 12910483893 15948244809 25820967786 30124462417 31896489618 38731451679 60248924834 77462903358 90373387251 180746774502 271120161753 542240323506