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2323135720440 = 233354158219013
BaseRepresentation
bin100001110011100101101…
…011011110101111111000
322020002102022201020202000
4201303211223132233320
5301030240221023230
64535122300541000
7326561316544413
oct41634553365770
98202368636660
102323135720440
118162666062a7
123162a5551760
1313b0bc5c1592
148062452cb7a
154066b859b60
hex21ce5adebf8

2323135720440 has 256 divisors, whose sum is σ = 7934901609600. Its totient is φ = 604222156800.

The previous prime is 2323135720427. The next prime is 2323135720513. The reversal of 2323135720440 is 440275313232.

2323135720440 is a `hidden beast` number, since 2 + 32 + 3 + 13 + 572 + 0 + 4 + 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 = 2323135720395 and 2323135720404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257749374 + ... + 257758386.

Almost surely, 22323135720440 is an apocalyptic number.

2323135720440 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 2323135720440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967450804800).

2323135720440 is an abundant number, since it is smaller than the sum of its proper divisors (5611765889160).

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

2323135720440 is a wasteful number, since it uses less digits than its factorization.

2323135720440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14895 (or 14885 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 2323135720440 in words is "two trillion, three hundred twenty-three billion, one hundred thirty-five million, seven hundred twenty thousand, four hundred forty".