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5042000040 = 23357211137569
BaseRepresentation
bin1001011001000011…
…01101000010101000
3111000101102010210020
410230201231002220
540311223000130
62152151320440
7235642202400
oct45441550250
914011363706
105042000040
112158094290
12b88680120
1362477589c
1435b8b5800
151e79a0e10
hex12c86d0a8

5042000040 has 384 divisors, whose sum is σ = 19369238400. Its totient is φ = 1038213120.

The previous prime is 5042000021. The next prime is 5042000107. The reversal of 5042000040 is 400002405.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 5041999983 and 5042000019.

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 95 ways as a sum of consecutive naturals, for example, 8860876 + ... + 8861444.

It is an arithmetic number, because the mean of its divisors is an integer number (50440725).

Almost surely, 25042000040 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 5042000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9684619200).

5042000040 is an abundant number, since it is smaller than the sum of its proper divisors (14327238360).

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

5042000040 is a wasteful number, since it uses less digits than its factorization.

5042000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 5042000040 is about 71007.0421859691. The cubic root of 5042000040 is about 1714.7505398647.

Adding to 5042000040 its reverse (400002405), we get a palindrome (5442002445).

The spelling of 5042000040 in words is "five billion, forty-two million, forty", and thus it is an aban number and an uban number.