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123520242144 = 253131911346099
BaseRepresentation
bin111001100001001100…
…0010101000111100000
3102210211100010102220010
41303002120111013200
54010432140222034
6132424443244520
711631642510015
oct1630230250740
9383740112803
10123520242144
1148425a58152
121bb32819740
13b8565c03a0
145d9aa9370c
15332e0603e9
hex1cc26151e0

123520242144 has 192 divisors, whose sum is σ = 370821024000. Its totient is φ = 35686490112.

The previous prime is 123520242133. The next prime is 123520242203. The reversal of 123520242144 is 441242025321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2656407 + ... + 2702505.

It is an arithmetic number, because the mean of its divisors is an integer number (1931359500).

Almost surely, 2123520242144 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 123520242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185410512000).

123520242144 is an abundant number, since it is smaller than the sum of its proper divisors (247300781856).

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

123520242144 is a wasteful number, since it uses less digits than its factorization.

123520242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46257 (or 46249 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 123520242144 its reverse (441242025321), we get a palindrome (564762267465).

The spelling of 123520242144 in words is "one hundred twenty-three billion, five hundred twenty million, two hundred forty-two thousand, one hundred forty-four".