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12144233304 = 233273617797
BaseRepresentation
bin10110100111101101…
…00100101101011000
31011100100111222020200
423103312210231120
5144332410431204
65325021022200
7606642165000
oct132366445530
934310458220
1012144233304
115172115255
12242b0b4960
1311b6cc4988
14832c45000
154b1261539
hex2d3da4b58

12144233304 has 192 divisors, whose sum is σ = 38466792000. Its totient is φ = 3459810816.

The previous prime is 12144233293. The next prime is 12144233327. The reversal of 12144233304 is 40333244121.

12144233304 is a `hidden beast` number, since 121 + 4 + 4 + 233 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15237034 + ... + 15237830.

It is an arithmetic number, because the mean of its divisors is an integer number (200347875).

Almost surely, 212144233304 is an apocalyptic number.

12144233304 is a gapful number since it is divisible by the number (14) 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 12144233304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233396000).

12144233304 is an abundant number, since it is smaller than the sum of its proper divisors (26322558696).

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

12144233304 is a wasteful number, since it uses less digits than its factorization.

12144233304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12144233304 its reverse (40333244121), we get a palindrome (52477477425).

The spelling of 12144233304 in words is "twelve billion, one hundred forty-four million, two hundred thirty-three thousand, three hundred four".