Search a number
-
+
23043405864960 = 21336513232989
BaseRepresentation
bin1010011110101001101100…
…00001010110000000000000
310000120221001120112012000000
411033110312001112000000
511010020343400134320
6121001554452000000
74565555036032155
oct517246601260000
9100527046465000
1023043405864960
117384720963588
122701b72000000
13cb1ca36936b0
14599441bb822c
1529e62a0c6c90
hex14f536056000

23043405864960 has 3136 divisors, whose sum is σ = 97469308540800. Its totient is φ = 5179655061504.

The previous prime is 23043405864923. The next prime is 23043405864977. The reversal of 23043405864960 is 6946850434032.

23043405864960 is a `hidden beast` number, since 2 + 30 + 4 + 3 + 40 + 5 + 86 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23043405864897 and 23043405864906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 258914672596 + ... + 258914672684.

Almost surely, 223043405864960 is an apocalyptic number.

23043405864960 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 23043405864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48734654270400).

23043405864960 is an abundant number, since it is smaller than the sum of its proper divisors (74425902675840).

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

23043405864960 is an equidigital number, since it uses as much as digits as its factorization.

23043405864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 23043405864960 in words is "twenty-three trillion, forty-three billion, four hundred five million, eight hundred sixty-four thousand, nine hundred sixty".