Search a number
-
+
124002515142 = 2331129471031487
BaseRepresentation
bin111001101111100100…
…0000011100011000110
3102212001221121110002000
41303133020003203012
54012424120441032
6132544352130130
711646616662522
oct1633710034306
9385057543060
10124002515142
1148653206a80
1220048236946
13b9024a981c
146004b52d82
15335b575e7c
hex1cdf2038c6

124002515142 has 256 divisors, whose sum is σ = 320893747200. Its totient is φ = 35140452480.

The previous prime is 124002515129. The next prime is 124002515191. The reversal of 124002515142 is 241515200421.

It is a happy number.

124002515142 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 0 + 2 + 515 + 142 = 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 127 ways as a sum of consecutive naturals, for example, 83390323 + ... + 83391809.

It is an arithmetic number, because the mean of its divisors is an integer number (1253491200).

Almost surely, 2124002515142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124002515142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160446873600).

124002515142 is an abundant number, since it is smaller than the sum of its proper divisors (196891232058).

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

124002515142 is a wasteful number, since it uses less digits than its factorization.

124002515142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 124002515142 its reverse (241515200421), we get a palindrome (365517715563).

The spelling of 124002515142 in words is "one hundred twenty-four billion, two million, five hundred fifteen thousand, one hundred forty-two".