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123144443240 = 235713181311601
BaseRepresentation
bin111001010101111111…
…0110001010101101000
3102202212010222212201012
41302223332301111220
54004144434140430
6132323300443052
711616430332260
oct1625376612550
9382763885635
10123144443240
1148252911945
121ba489a9488
13b7c67a3480
145d62bcc7a0
15330b07c695
hex1cabfb1568

123144443240 has 256 divisors, whose sum is σ = 344574397440. Its totient is φ = 38568960000.

The previous prime is 123144443231. The next prime is 123144443263. The reversal of 123144443240 is 42344441321.

It is a junction number, because it is equal to n+sod(n) for n = 123144443197 and 123144443206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204898940 + ... + 204899540.

It is an arithmetic number, because the mean of its divisors is an integer number (1345993740).

Almost surely, 2123144443240 is an apocalyptic number.

123144443240 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 123144443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172287198720).

123144443240 is an abundant number, since it is smaller than the sum of its proper divisors (221429954200).

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

123144443240 is a wasteful number, since it uses less digits than its factorization.

123144443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 123144443240 its reverse (42344441321), we get a palindrome (165488884561).

The spelling of 123144443240 in words is "one hundred twenty-three billion, one hundred forty-four million, four hundred forty-three thousand, two hundred forty".