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2523345422040 = 23325371015413467
BaseRepresentation
bin100100101110000011000…
…110111000011011011000
322221020012021120212202100
4210232003012320123120
5312320302412001130
65211113041403400
7350206565123352
oct44560306703330
98836167525670
102523345422040
11893165786403
1234905b339560
13153c481b3831
148a1b83da0d2
1545988402c60
hex24b831b86d8

2523345422040 has 384 divisors, whose sum is σ = 8524089587520. Its totient is φ = 646838784000.

The previous prime is 2523345422023. The next prime is 2523345422053. The reversal of 2523345422040 is 402245433252.

2523345422040 is a `hidden beast` number, since 2 + 5 + 23 + 34 + 542 + 20 + 40 = 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 = 2523345421986 and 2523345422004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 727816387 + ... + 727819853.

Almost surely, 22523345422040 is an apocalyptic number.

2523345422040 is a gapful number since it is divisible by the number (20) 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 2523345422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262044793760).

2523345422040 is an abundant number, since it is smaller than the sum of its proper divisors (6000744165480).

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

2523345422040 is a wasteful number, since it uses less digits than its factorization.

2523345422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 2523345422040 in words is "two trillion, five hundred twenty-three billion, three hundred forty-five million, four hundred twenty-two thousand, forty".