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12442404030 = 23571937271311
BaseRepresentation
bin10111001011010000…
…00000010010111110
31012010010120121120220
423211220000102332
5200440223412110
65414351522210
7620222455260
oct134550002276
935103517526
1012442404030
11530545a341
1224b2b29366
131233a01c64
1486069db30
154cc50d370
hex2e5a004be

12442404030 has 256 divisors, whose sum is σ = 37150064640. Its totient is φ = 2603404800.

The previous prime is 12442403927. The next prime is 12442404053. The reversal of 12442404030 is 3040424421.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40007575 + ... + 40007885.

It is an arithmetic number, because the mean of its divisors is an integer number (145117440).

Almost surely, 212442404030 is an apocalyptic number.

12442404030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12442404030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18575032320).

12442404030 is an abundant number, since it is smaller than the sum of its proper divisors (24707660610).

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

12442404030 is a wasteful number, since it uses less digits than its factorization.

12442404030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12442404030 its reverse (3040424421), we get a palindrome (15482828451).

The spelling of 12442404030 in words is "twelve billion, four hundred forty-two million, four hundred four thousand, thirty".