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1432121043312 = 24324710710918143
BaseRepresentation
bin10100110101110001000…
…100001110100101110000
312001220112222101212021200
4110311301010032211300
5141430440441341222
63013523552051200
7205316203005441
oct24656104164560
95056488355250
101432121043312
115023a4aa2583
121b167a533b00
13a508254708b
144d45a61b2c8
15273bd0aaeac
hex14d7110e970

1432121043312 has 240 divisors, whose sum is σ = 4169613127680. Its totient is φ = 458578672128.

The previous prime is 1432121043293. The next prime is 1432121043361. The reversal of 1432121043312 is 2133401212341.

1432121043312 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 1 + 210 + 433 + 12 = 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, 78926113 + ... + 78944255.

It is an arithmetic number, because the mean of its divisors is an integer number (17373388032).

Almost surely, 21432121043312 is an apocalyptic number.

1432121043312 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 1432121043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084806563840).

1432121043312 is an abundant number, since it is smaller than the sum of its proper divisors (2737492084368).

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

1432121043312 is a wasteful number, since it uses less digits than its factorization.

1432121043312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18420 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1432121043312 its reverse (2133401212341), we get a palindrome (3565522255653).

The spelling of 1432121043312 in words is "one trillion, four hundred thirty-two billion, one hundred twenty-one million, forty-three thousand, three hundred twelve".