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1432443314412 = 223211173155712323
BaseRepresentation
bin10100110110000100010…
…001100110000011101100
312001221101102210221010100
4110312010101212003230
5141432120442030122
63014015543311100
7205330165163355
oct24660421460354
95057342727110
101432443314412
1150254a9a8630
121b174a44b490
13a5104241c36
144d48b34ad2c
15273db518aac
hex14d844660ec

1432443314412 has 288 divisors, whose sum is σ = 4325447153664. Its totient is φ = 394619443200.

The previous prime is 1432443314411. The next prime is 1432443314437. The reversal of 1432443314412 is 2144133442341.

1432443314412 is a `hidden beast` number, since 1 + 4 + 324 + 4 + 3 + 314 + 4 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1432443314411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116235283 + ... + 116247605.

It is an arithmetic number, because the mean of its divisors is an integer number (15018913728).

Almost surely, 21432443314412 is an apocalyptic number.

1432443314412 is a gapful number since it is divisible by the number (12) 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 1432443314412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162723576832).

1432443314412 is an abundant number, since it is smaller than the sum of its proper divisors (2893003839252).

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

1432443314412 is a wasteful number, since it uses less digits than its factorization.

1432443314412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12949 (or 12944 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 1432443314412 its reverse (2144133442341), we get a palindrome (3576576756753).

The spelling of 1432443314412 in words is "one trillion, four hundred thirty-two billion, four hundred forty-three million, three hundred fourteen thousand, four hundred twelve".