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40018402116 = 2232721124332
BaseRepresentation
bin100101010001010010…
…000101101101000100
310211021221200110110100
4211101102011231010
51123424202331431
630214553124100
72614456543200
oct452122055504
9124257613410
1040018402116
1115a76387900
12790a0b9630
133a09b265a4
141d18bdbb00
15109341e4e6
hex951485b44

40018402116 has 243 divisors, whose sum is σ = 129642627933. Its totient is φ = 10370384640.

The previous prime is 40018402079. The next prime is 40018402133. The reversal of 40018402116 is 61120481004.

It is a happy number.

The square root of 40018402116 is 200046.

It is a perfect power (a square), and thus also a powerful number.

40018402116 is a `hidden beast` number, since 400 + 1 + 8 + 40 + 211 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4487660100 + 35530742016 = 66990^2 + 188496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40018402116.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 92421036 + ... + 92421468.

Almost surely, 240018402116 is an apocalyptic number.

40018402116 is the 200046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40018402116

40018402116 is an abundant number, since it is smaller than the sum of its proper divisors (89624225817).

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

40018402116 is a wasteful number, since it uses less digits than its factorization.

40018402116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 40018402116 in words is "forty billion, eighteen million, four hundred two thousand, one hundred sixteen".