Search a number
-
+
5142514608 = 2433711314987
BaseRepresentation
bin1001100101000010…
…01000101110110000
3111021101112210212000
410302201020232300
541012440431413
62210141534000
7241302436650
oct46241105660
914241483760
105142514608
1121a98a7380
12bb6274300
1363c53966a
1436ad9c360
15201708073
hex132848bb0

5142514608 has 320 divisors, whose sum is σ = 19000688640. Its totient is φ = 1292371200.

The previous prime is 5142514591. The next prime is 5142514613. The reversal of 5142514608 is 8064152415.

It is a happy number.

5142514608 is a `hidden beast` number, since 5 + 1 + 42 + 5 + 1 + 4 + 608 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 1028691 + ... + 1033677.

It is an arithmetic number, because the mean of its divisors is an integer number (59377152).

Almost surely, 25142514608 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 5142514608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9500344320).

5142514608 is an abundant number, since it is smaller than the sum of its proper divisors (13858174032).

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

5142514608 is a wasteful number, since it uses less digits than its factorization.

5142514608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5041 counting only the distinct ones).

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

The square root of 5142514608 is about 71711.3283101073. The cubic root of 5142514608 is about 1726.0704252279.

The spelling of 5142514608 in words is "five billion, one hundred forty-two million, five hundred fourteen thousand, six hundred eight".