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12423997440 = 2113251131193
BaseRepresentation
bin10111001001000011…
…10010100000000000
31012001211221110111100
423210201302200000
5200421020404230
65412453214400
7616610143611
oct134441624000
935054843440
1012423997440
1152a6028188
1224a8931400
13122cc58b9a
1485c06bc08
154caac4660
hex2e4872800

12423997440 has 288 divisors, whose sum is σ = 43476811560. Its totient is φ = 3280994304.

The previous prime is 12423997403. The next prime is 12423997447. The reversal of 12423997440 is 4479932421.

It can be written as a sum of positive squares in 4 ways, for example, as 6242264064 + 6181733376 = 79008^2 + 78624^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12423997447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10413484 + ... + 10414676.

Almost surely, 212423997440 is an apocalyptic number.

12423997440 is a gapful number since it is divisible by the number (10) 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 12423997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21738405780).

12423997440 is an abundant number, since it is smaller than the sum of its proper divisors (31052814120).

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

12423997440 is a wasteful number, since it uses less digits than its factorization.

12423997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12423997440 in words is "twelve billion, four hundred twenty-three million, nine hundred ninety-seven thousand, four hundred forty".