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1412322912 = 2533711132371
BaseRepresentation
bin101010000101110…
…0101011001100000
310122102112102211000
41110023211121200
510343023313122
6352050552000
746666355340
oct12413453140
93572472730
101412322912
11665246120
12334b98600
131967a4740
14d57dcd20
1583ecb0ac
hex542e5660

1412322912 has 768 divisors, whose sum is σ = 5852528640. Its totient is φ = 319334400.

The previous prime is 1412322911. The next prime is 1412322913. The reversal of 1412322912 is 2192232141.

1412322912 is a `hidden beast` number, since 141 + 232 + 291 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1412322911) and next prime (1412322913).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (1728) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412322911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19891837 + ... + 19891907.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 21412322912 is an apocalyptic number.

1412322912 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 1412322912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926264320).

1412322912 is an abundant number, since it is smaller than the sum of its proper divisors (4440205728).

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

1412322912 is a wasteful number, since it uses less digits than its factorization.

1412322912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1412322912 is about 37580.8849283782. The cubic root of 1412322912 is about 1121.9616218392.

The spelling of 1412322912 in words is "one billion, four hundred twelve million, three hundred twenty-two thousand, nine hundred twelve".