Search a number
-
+
40942679040 = 2103352379163
BaseRepresentation
bin100110001000010111…
…111011010000000000
310220200100212121001000
4212020113323100000
51132322311212130
630450411412000
72646412013124
oct461027732000
9126610777030
1040942679040
111640009082a
127b27754000
133b26470003
141da5877584
1510e9644260
hex9885fb400

40942679040 has 704 divisors, whose sum is σ = 154694246400. Its totient is φ = 10247897088.

The previous prime is 40942679039. The next prime is 40942679059. The reversal of 40942679040 is 4097624904.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251181999 + ... + 251182161.

Almost surely, 240942679040 is an apocalyptic number.

40942679040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40942679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77347123200).

40942679040 is an abundant number, since it is smaller than the sum of its proper divisors (113751567360).

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

40942679040 is a wasteful number, since it uses less digits than its factorization.

40942679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40942679040 in words is "forty billion, nine hundred forty-two million, six hundred seventy-nine thousand, forty".