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42411640032 = 2532147262639
BaseRepresentation
bin100111011111111011…
…100100010011100000
311001110201222112200200
4213133323210103200
51143324334440112
631252244345200
73030666664206
oct473773442340
9131421875620
1042411640032
1116a942a0983
1282776a5200
133ccb8b53b8
1420a49bb076
1511835abcdc
hex9dfee44e0

42411640032 has 36 divisors (see below), whose sum is σ = 120608102160. Its totient is φ = 14137213248.

The previous prime is 42411640021. The next prime is 42411640043. The reversal of 42411640032 is 23004611424.

It is a happy number.

42411640032 is a `hidden beast` number, since 4 + 2 + 4 + 11 + 640 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42411640021) and next prime (42411640043).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×424116400322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42411639978 and 42411640005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73631032 + ... + 73631607.

It is an arithmetic number, because the mean of its divisors is an integer number (3350225060).

Almost surely, 242411640032 is an apocalyptic number.

It is an amenable number.

42411640032 is an abundant number, since it is smaller than the sum of its proper divisors (78196462128).

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

42411640032 is a wasteful number, since it uses less digits than its factorization.

42411640032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147262655 (or 147262644 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42411640032 in words is "forty-two billion, four hundred eleven million, six hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 147262639 294525278 441787917 589050556 883575834 1178101112 1325363751 1767151668 2356202224 2650727502 3534303336 4712404448 5301455004 7068606672 10602910008 14137213344 21205820016 42411640032