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40294941696 = 21034172412
BaseRepresentation
bin100101100001110001…
…000000010000000000
310212000020001010110000
4211201301000100000
51130011001113241
630302232240000
72624355232062
oct454161002000
9125006033400
1040294941696
11160a8498109
127986840000
133a521cbb89
141d43825732
1510ac846eb6
hex961c40400

40294941696 has 495 divisors, whose sum is σ = 131016763207. Its totient is φ = 12333219840.

The previous prime is 40294941683. The next prime is 40294941697. The reversal of 40294941696 is 69614949204.

It is a happy number.

The square root of 40294941696 is 200736.

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

40294941696 is a `hidden beast` number, since 40 + 29 + 494 + 1 + 6 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2838758400 + 37456183296 = 53280^2 + 193536^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40294941697) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 982803436 + ... + 982803476.

Almost surely, 240294941696 is an apocalyptic number.

40294941696 is the 200736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40294941696

40294941696 is an abundant number, since it is smaller than the sum of its proper divisors (90721821511).

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

40294941696 is an equidigital number, since it uses as much as digits as its factorization.

40294941696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 40294941696 in words is "forty billion, two hundred ninety-four million, nine hundred forty-one thousand, six hundred ninety-six".