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40658843443712 = 291325324092
BaseRepresentation
bin10010011111010100111111…
…11010111010001000000000
312022221221120201002201120212
421033222133322322020000
520312123302410144322
6222250225333453252
711364335020651154
oct1117523772721000
9168857521081525
1040658843443712
1111a5635617188a
124687b584a1228
13198c16018bb00
14a07c81791064
154a796a9d40e2
hex24fa9feba200

40658843443712 has 270 divisors, whose sum is σ = 89878916031597. Its totient is φ = 18366535729152.

The previous prime is 40658843443711. The next prime is 40658843443721. The reversal of 40658843443712 is 21734434885604.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40658843443712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 4165452411136 + 36493391032576 = 2040944^2 + 6040976^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4508816.

It is not an unprimeable number, because it can be changed into a prime (40658843443711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99410374964 + ... + 99410375372.

Almost surely, 240658843443712 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 40658843443712

40658843443712 is an abundant number, since it is smaller than the sum of its proper divisors (49220072587885).

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

40658843443712 is an frugal number, since it uses more digits than its factorization.

40658843443712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 59.

The spelling of 40658843443712 in words is "forty trillion, six hundred fifty-eight billion, eight hundred forty-three million, four hundred forty-three thousand, seven hundred twelve".