Search a number
-
+
40337466624 = 2832713192391
BaseRepresentation
bin100101100100010011…
…001110010100000000
310212010012001121200100
4211210103032110000
51130102342412444
630310351522400
72625412544340
oct454423162400
9125105047610
1040337466624
111611a4a2784
127998b29400
133a5ac6aa60
141d49334d20
1510b1446e69
hex9644ce500

40337466624 has 216 divisors, whose sum is σ = 143142726272. Its totient is φ = 10638397440.

The previous prime is 40337466613. The next prime is 40337466641. The reversal of 40337466624 is 42666473304.

It is a super-2 number, since 2×403374666242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40337466624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113469 + ... + 305859.

Almost surely, 240337466624 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 40337466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71571363136).

40337466624 is an abundant number, since it is smaller than the sum of its proper divisors (102805259648).

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

40337466624 is a wasteful number, since it uses less digits than its factorization.

40337466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192433 (or 192416 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 40337466624 in words is "forty billion, three hundred thirty-seven million, four hundred sixty-six thousand, six hundred twenty-four".