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23266008302040 = 233257231190122381
BaseRepresentation
bin1010100101001000010100…
…01010010000000111011000
310001101012122010021122021200
411102210022022100013120
511022142241111131130
6121252131234434200
74620625242364200
oct522441212200730
9101335563248250
1023266008302040
117460071163249
122739137132960
13cc9c8a5a479a
145a611ba59400
152a53079c9760
hex15290a2901d8

23266008302040 has 576 divisors, whose sum is σ = 90848989221120. Its totient is φ = 5143461120000.

The previous prime is 23266008302039. The next prime is 23266008302113. The reversal of 23266008302040 is 4020380066232.

23266008302040 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 600 + 8 + 3 + 0 + 2 + 0 + 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 = 23266008301986 and 23266008302004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1039531650 + ... + 1039554030.

It is an arithmetic number, because the mean of its divisors is an integer number (157723939620).

Almost surely, 223266008302040 is an apocalyptic number.

23266008302040 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 23266008302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45424494610560).

23266008302040 is an abundant number, since it is smaller than the sum of its proper divisors (67582980919080).

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

23266008302040 is a wasteful number, since it uses less digits than its factorization.

23266008302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24344 (or 24330 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 23266008302040 its reverse (4020380066232), we get a palindrome (27286388368272).

The spelling of 23266008302040 in words is "twenty-three trillion, two hundred sixty-six billion, eight million, three hundred two thousand, forty".