Search a number
-
+
40321370880 = 2832572611171
BaseRepresentation
bin100101100011010101…
…110100101100000000
310212002001202212110200
4211203111310230000
51130034232332010
630305014525200
72625125666100
oct454325645400
9125061685420
1040321370880
11161113a980a
127993666800
133a5782374b
141d47145200
1510aed17cc0
hex963574b00

40321370880 has 648 divisors, whose sum is σ = 165085777584. Its totient is φ = 9057484800.

The previous prime is 40321370861. The next prime is 40321370893. The reversal of 40321370880 is 8807312304.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34432695 + ... + 34433865.

Almost surely, 240321370880 is an apocalyptic number.

40321370880 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 40321370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82542888792).

40321370880 is an abundant number, since it is smaller than the sum of its proper divisors (124764406704).

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

40321370880 is a wasteful number, since it uses less digits than its factorization.

40321370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 40321370880 in words is "forty billion, three hundred twenty-one million, three hundred seventy thousand, eight hundred eighty".