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102423913093440 = 26345171012301421
BaseRepresentation
bin10111010010011101101100…
…111101001101100101000000
3111102122122000121102202120000
4113102131230331031211000
5101411103133222442230
61001500521320320000
730400612022402031
oct2722355475154500
9442578017382500
10102423913093440
112a6a98128343a4
12b5a2535313000
13451c6c2306a83
141b414b571aa88
15bc943371bb60
hex5d276cf4d940

102423913093440 has 560 divisors, whose sum is σ = 389591325843984. Its totient is φ = 25451864064000.

The previous prime is 102423913093297. The next prime is 102423913093459. The reversal of 102423913093440 is 44390319324201.

102423913093440 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 3 + 91 + 30 + 93 + 440 = 666.

102423913093440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11956878768384 + 90467034325056 = 3457872^2 + 9511416^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43353930 + ... + 45655350.

Almost surely, 2102423913093440 is an apocalyptic number.

102423913093440 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 102423913093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194795662921992).

102423913093440 is an abundant number, since it is smaller than the sum of its proper divisors (287167412750544).

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

102423913093440 is a wasteful number, since it uses less digits than its factorization.

102423913093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301568 (or 2301549 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 102423913093440 in words is "one hundred two trillion, four hundred twenty-three billion, nine hundred thirteen million, ninety-three thousand, four hundred forty".