Search a number
-
+
5142138048 = 263237892711
BaseRepresentation
bin1001100100111111…
…01100110011000000
3111021100211200022100
410302133230303000
541012341404143
62210125510400
7241266311055
oct46237546300
914240750270
105142138048
1121a966a473
12bb6112400
1363c437148
1436ad0102c
152016816d3
hex1327eccc0

5142138048 has 168 divisors, whose sum is σ = 15313091040. Its totient is φ = 1648373760.

The previous prime is 5142137981. The next prime is 5142138049. The reversal of 5142138048 is 8408312415.

5142138048 is a `hidden beast` number, since 514 + 2 + 138 + 0 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5142138049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1895413 + ... + 1898123.

Almost surely, 25142138048 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 5142138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656545520).

5142138048 is an abundant number, since it is smaller than the sum of its proper divisors (10170952992).

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

5142138048 is a wasteful number, since it uses less digits than its factorization.

5142138048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5142138048 is about 71708.7027354421. The cubic root of 5142138048 is about 1726.0282937679.

The spelling of 5142138048 in words is "five billion, one hundred forty-two million, one hundred thirty-eight thousand, forty-eight".