Search a number
-
+
5014790144 = 2137213312
BaseRepresentation
bin1001010101110011…
…11010000000000000
3110221111012201211022
410222321322000000
540232241241034
62145340205012
7235162004300
oct45271720000
913844181738
105014790144
11214379a071
12b7b539768
1361bc39860
14358031600
151e53c8b2e
hex12ae7a000

5014790144 has 252 divisors, whose sum is σ = 12982118562. Its totient is φ = 1919877120.

The previous prime is 5014790129. The next prime is 5014790177. The reversal of 5014790144 is 4410974105.

It can be written as a sum of positive squares in only one way, i.e., 4821913600 + 192876544 = 69440^2 + 13888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 161767409 + ... + 161767439.

Almost surely, 25014790144 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 5014790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491059281).

5014790144 is an abundant number, since it is smaller than the sum of its proper divisors (7967328418).

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

5014790144 is an equidigital number, since it uses as much as digits as its factorization.

5014790144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 5014790144 is about 70815.1830047766. The cubic root of 5014790144 is about 1711.6603396384.

The spelling of 5014790144 in words is "five billion, fourteen million, seven hundred ninety thousand, one hundred forty-four".