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40142016 = 263269691
BaseRepresentation
bin1001100100100…
…0010011000000
32210112102111100
42121020103000
540234021031
63552214400
7665126055
oct231102300
983472440
1040142016
1120728322
121153a400
138416395
14548d02c
1537cdde6
hex26484c0

40142016 has 42 divisors (see below), whose sum is σ = 115061492. Its totient is φ = 13380480.

The previous prime is 40141987. The next prime is 40142021. The reversal of 40142016 is 61024104.

It is a super-2 number, since 2×401420162 = 3222762897088512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 40142016.

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, 34270 + ... + 35421.

Almost surely, 240142016 is an apocalyptic number.

It is an amenable number.

40142016 is an abundant number, since it is smaller than the sum of its proper divisors (74919476).

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

40142016 is a wasteful number, since it uses less digits than its factorization.

40142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69709 (or 69696 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40142016 is about 6335.7727231964. The cubic root of 40142016 is about 342.3994511885.

The spelling of 40142016 in words is "forty million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 69691 139382 209073 278764 418146 557528 627219 836292 1115056 1254438 1672584 2230112 2508876 3345168 4460224 5017752 6690336 10035504 13380672 20071008 40142016