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40666489344 = 29361317229
BaseRepresentation
bin100101110111111010…
…010110001000000000
310212222010011201000000
4211313322112020000
51131241110124334
630403144000000
72636516312265
oct456772261000
9125863151000
1040666489344
111627919a388
127a6b160000
133ab118aa60
141d7ad0126c
1510d028a299
hex977e96200

40666489344 has 840 divisors, whose sum is σ = 144172842660. Its totient is φ = 11370627072.

The previous prime is 40666489343. The next prime is 40666489351. The reversal of 40666489344 is 44398466604.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 24862982400 + 15803506944 = 157680^2 + 125712^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40666489343) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1402292722 + ... + 1402292750.

Almost surely, 240666489344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40666489344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72086421330).

40666489344 is an abundant number, since it is smaller than the sum of its proper divisors (103506353316).

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

40666489344 is an equidigital number, since it uses as much as digits as its factorization.

40666489344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 40666489344 in words is "forty billion, six hundred sixty-six million, four hundred eighty-nine thousand, three hundred forty-four".