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453231140096 = 287243219541
BaseRepresentation
bin1101001100001101010…
…11100101110100000000
31121022212110100110120002
412212012223211310000
524411204132440341
6544113404135132
744513330061200
oct6460653456400
91538773313502
10453231140096
1116523a187869
1273a0a2374a8
133397c930787
1417d17aa6400
15bbc9c8d29b
hex6986ae5d00

453231140096 has 162 divisors, whose sum is σ = 1077495285762. Its totient is φ = 189714954240.

The previous prime is 453231140039. The next prime is 453231140107. The reversal of 453231140096 is 690041132354.

It can be written as a sum of positive squares in only one way, i.e., 339581245696 + 113649894400 = 582736^2 + 337120^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 23184086 + ... + 23203626.

Almost surely, 2453231140096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453231140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538747642881).

453231140096 is an abundant number, since it is smaller than the sum of its proper divisors (624264145666).

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

453231140096 is an equidigital number, since it uses as much as digits as its factorization.

453231140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19657 (or 19593 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 453231140096 in words is "four hundred fifty-three billion, two hundred thirty-one million, one hundred forty thousand, ninety-six".