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124002142440 = 2335111312512857
BaseRepresentation
bin111001101111100011…
…0101000100011101000
3102212001220220111211020
41303133012220203220
54012424022024230
6132544340132440
711646613551111
oct1633706504350
9385056814736
10124002142440
1148652a81a60
1220048097120
13b9023a8ca7
146004a97208
15335b500810
hex1cdf1a88e8

124002142440 has 256 divisors, whose sum is σ = 410695971840. Its totient is φ = 29702400000.

The previous prime is 124002142423. The next prime is 124002142447. The reversal of 124002142440 is 44241200421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 124002142440.

It is not an unprimeable number, because it can be changed into a prime (124002142447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43401492 + ... + 43404348.

It is an arithmetic number, because the mean of its divisors is an integer number (1604281140).

Almost surely, 2124002142440 is an apocalyptic number.

124002142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124002142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205347985920).

124002142440 is an abundant number, since it is smaller than the sum of its proper divisors (286693829400).

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

124002142440 is a wasteful number, since it uses less digits than its factorization.

124002142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 124002142440 its reverse (44241200421), we get a palindrome (168243342861).

The spelling of 124002142440 in words is "one hundred twenty-four billion, two million, one hundred forty-two thousand, four hundred forty".