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5114856240 = 2433513199587
BaseRepresentation
bin1001100001101111…
…01000001100110000
3111012110111121201000
410300313220030300
540433400344430
62203313042000
7240515363214
oct46067501460
914173447630
105114856240
11219522621a
12ba8b56300
136368a4470
1436743c944
151ee092e60
hex130de8330

5114856240 has 320 divisors, whose sum is σ = 19973721600. Its totient is φ = 1192651776.

The previous prime is 5114856217. The next prime is 5114856247. The reversal of 5114856240 is 426584115.

It is a happy number.

5114856240 is a `hidden beast` number, since 5 + 11 + 48 + 562 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5114856195 and 5114856204.

It is not an unprimeable number, because it can be changed into a prime (5114856247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528727 + ... + 538313.

It is an arithmetic number, because the mean of its divisors is an integer number (62417880).

Almost surely, 25114856240 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 5114856240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9986860800).

5114856240 is an abundant number, since it is smaller than the sum of its proper divisors (14858865360).

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

5114856240 is a wasteful number, since it uses less digits than its factorization.

5114856240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9641 (or 9629 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5114856240 is about 71518.2231322899. The cubic root of 5114856240 is about 1722.9703766004.

The spelling of 5114856240 in words is "five billion, one hundred fourteen million, eight hundred fifty-six thousand, two hundred forty".