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443235046081 = 151244092
BaseRepresentation
bin1100111001100101101…
…11100001001011000001
31120101001210221021102211
412130302313201023001
524230221132433311
6535341441142121
744010530505022
oct6346267411301
91511053837384
10443235046081
11160a7a6a0443
1271a9a62a941
1332a489b0149
141764a27cc49
15b7e2402821
hex6732de12c1

443235046081 has 9 divisors (see below), whose sum is σ = 446291039523. Its totient is φ = 440199850800.

The previous prime is 443235046069. The next prime is 443235046109. The reversal of 443235046081 is 180640532344.

The square root of 443235046081 is 665759.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33327788481 + 409907257600 = 182559^2 + 640240^2 .

It is not a de Polignac number, because 443235046081 - 217 = 443234915009 is a prime.

It is a super-2 number, since 2×4432350460812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (443235046031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100527405 + ... + 100531813.

Almost surely, 2443235046081 is an apocalyptic number.

443235046081 is the 665759-th square number.

443235046081 is the 332880-th centered octagonal number.

It is an amenable number.

443235046081 is a deficient number, since it is larger than the sum of its proper divisors (3055993442).

443235046081 is an frugal number, since it uses more digits than its factorization.

443235046081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 443235046081 in words is "four hundred forty-three billion, two hundred thirty-five million, forty-six thousand, eighty-one".

Divisors: 1 151 4409 22801 665759 19439281 100529609 2935331431 443235046081