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123002915040 = 25335188915073
BaseRepresentation
bin111001010001110001…
…0111000100011100000
3102202111021200111112000
41302203202320203200
54003402221240130
6132301243204000
711613061345515
oct1624342704340
9382437614460
10123002915040
114818aa36695
121ba09516600
13b7a337c685
145d4c0ab30c
1532ed923260
hex1ca38b88e0

123002915040 has 192 divisors, whose sum is σ = 430766683200. Its totient is φ = 32781238272.

The previous prime is 123002915029. The next prime is 123002915071. The reversal of 123002915040 is 40519200321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123002914995 and 123002915013.

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, 8152944 + ... + 8168016.

It is an arithmetic number, because the mean of its divisors is an integer number (2243576475).

Almost surely, 2123002915040 is an apocalyptic number.

123002915040 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 123002915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215383341600).

123002915040 is an abundant number, since it is smaller than the sum of its proper divisors (307763768160).

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

123002915040 is a wasteful number, since it uses less digits than its factorization.

123002915040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16986 (or 16972 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 123002915040 in words is "one hundred twenty-three billion, two million, nine hundred fifteen thousand, forty".