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23124445344 = 25327311131637
BaseRepresentation
bin10101100010010100…
…110000100010100000
32012200120201112111200
4111202110300202200
5334324324222334
614342341041200
71446021354000
oct254224604240
965616645450
1023124445344
119897168060
1245943b6200
132246ab1570
141195244000
159051e2799
hex5625308a0

23124445344 has 576 divisors, whose sum is σ = 90150278400. Its totient is φ = 5540935680.

The previous prime is 23124445307. The next prime is 23124445367. The reversal of 23124445344 is 44354442132.

23124445344 is a `hidden beast` number, since 2 + 31 + 244 + 45 + 344 = 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 = 23124445299 and 23124445308.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14125294 + ... + 14126930.

It is an arithmetic number, because the mean of its divisors is an integer number (156510900).

Almost surely, 223124445344 is an apocalyptic number.

23124445344 is a gapful number since it is divisible by the number (24) 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 23124445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45075139200).

23124445344 is an abundant number, since it is smaller than the sum of its proper divisors (67025833056).

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

23124445344 is a wasteful number, since it uses less digits than its factorization.

23124445344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1673 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 23124445344 its reverse (44354442132), we get a palindrome (67478887476).

The spelling of 23124445344 in words is "twenty-three billion, one hundred twenty-four million, four hundred forty-five thousand, three hundred forty-four".