Search a number
-
+
5142327120 = 243557233153
BaseRepresentation
bin1001100101000000…
…11010111101010000
3111021101012021200000
410302200122331100
541012413431440
62210133530000
7241301026230
oct46240327520
914241167600
105142327120
1121a9789527
12bb61a3900
1363c4a2218
1436ad4dcc0
152016bc730
hex13281af50

5142327120 has 960 divisors, whose sum is σ = 22462562304. Its totient is φ = 1067489280.

The previous prime is 5142327103. The next prime is 5142327139. The reversal of 5142327120 is 217232415.

5142327120 is a `hidden beast` number, since 514 + 2 + 3 + 27 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97025014 + ... + 97025066.

Almost surely, 25142327120 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 5142327120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11231281152).

5142327120 is an abundant number, since it is smaller than the sum of its proper divisors (17320235184).

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

5142327120 is a wasteful number, since it uses less digits than its factorization.

5142327120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5142327120 is about 71710.0210570322. The cubic root of 5142327120 is about 1726.0494483680.

Adding to 5142327120 its reverse (217232415), we get a palindrome (5359559535).

The spelling of 5142327120 in words is "five billion, one hundred forty-two million, three hundred twenty-seven thousand, one hundred twenty".