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123144443640 = 23335595933259
BaseRepresentation
bin111001010101111111…
…0110001011011111000
3102202212010222220021000
41302223332301123320
54004144434144030
6132323300445000
711616430333401
oct1625376613370
9382763886230
10123144443640
1148252912179
121ba489a9760
13b7c67a36ca
145d62bcc9a8
15330b07c860
hex1cabfb16f8

123144443640 has 256 divisors, whose sum is σ = 418271040000. Its totient is φ = 32217606144.

The previous prime is 123144443629. The next prime is 123144443641. The reversal of 123144443640 is 46344441321.

123144443640 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 4 + 4 + 4 + 4 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123144443595 and 123144443604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123144443641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37784331 + ... + 37787589.

It is an arithmetic number, because the mean of its divisors is an integer number (1633871250).

Almost surely, 2123144443640 is an apocalyptic number.

123144443640 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 123144443640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209135520000).

123144443640 is an abundant number, since it is smaller than the sum of its proper divisors (295126596360).

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

123144443640 is a wasteful number, since it uses less digits than its factorization.

123144443640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 123144443640 its reverse (46344441321), we get a palindrome (169488884961).

The spelling of 123144443640 in words is "one hundred twenty-three billion, one hundred forty-four million, four hundred forty-three thousand, six hundred forty".