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40305050304 = 263171011031187
BaseRepresentation
bin100101100010010111…
…100100001011000000
310212000221001200211220
4211202113210023000
51130021043102204
630303233035040
72624540163201
oct454227441300
9125027050756
1040305050304
1116103171932
12798a0b5a80
133a5432acbc
141d44cd75a8
1510ad6921d9
hex9625e42c0

40305050304 has 224 divisors, whose sum is σ = 115235467776. Its totient is φ = 12387532800.

The previous prime is 40305050231. The next prime is 40305050311.

It is a happy number.

40305050304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33954799 + ... + 33955985.

Almost surely, 240305050304 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 40305050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57617733888).

40305050304 is an abundant number, since it is smaller than the sum of its proper divisors (74930417472).

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

40305050304 is a wasteful number, since it uses less digits than its factorization.

40305050304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

It can be divided in two parts, 403050 and 50304, that added together give a palindrome (453354).

The spelling of 40305050304 in words is "forty billion, three hundred five million, fifty thousand, three hundred four".