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14283620352 = 2143447229
BaseRepresentation
bin11010100110101111…
…01100000000000000
31100212110011002120000
431103113230000000
5213223101322402
610321203320000
71013650525011
oct152327540000
940773132500
1014283620352
11606a805421
122927680000
1314682c3381
14997025008
15588ea8c1c
hex3535ec000

14283620352 has 300 divisors, whose sum is σ = 43771469280. Its totient is φ = 4639555584.

The previous prime is 14283620311. The next prime is 14283620381. The reversal of 14283620352 is 25302638241.

14283620352 is a `hidden beast` number, since 1 + 4 + 28 + 3 + 620 + 3 + 5 + 2 = 666.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 62373774 + ... + 62374002.

Almost surely, 214283620352 is an apocalyptic number.

14283620352 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 14283620352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21885734640).

14283620352 is an abundant number, since it is smaller than the sum of its proper divisors (29487848928).

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

14283620352 is an frugal number, since it uses more digits than its factorization.

14283620352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14283620352 in words is "fourteen billion, two hundred eighty-three million, six hundred twenty thousand, three hundred fifty-two".