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42272182404 = 2232342672
BaseRepresentation
bin100111010111100111…
…100101000010000100
311001010000120100210100
4213113213211002010
51143033134314104
631230343324100
73024354423204
oct472747450204
9131100510710
1042272182404
1116a225aa341
128238a50630
133ca8a37baa
142090278404
151176211139
hex9d79e5084

42272182404 has 27 divisors (see below), whose sum is σ = 106857801687. Its totient is φ = 14090316264.

The previous prime is 42272182367. The next prime is 42272182411. The reversal of 42272182404 is 40428127224.

The square root of 42272182404 is 205602.

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

42272182404 is a `hidden beast` number, since 4 + 2 + 2 + 72 + 182 + 404 = 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 (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1216479 + ... + 1250745.

Almost surely, 242272182404 is an apocalyptic number.

42272182404 is the 205602-nd square number.

It is an amenable number.

42272182404 is an abundant number, since it is smaller than the sum of its proper divisors (64585619283).

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

42272182404 is an frugal number, since it uses more digits than its factorization.

42272182404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68544 (or 34272 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

Multiplying 42272182404 by its sum of digits (36), we get a square (1521798566544 = 12336122).

42272182404 divided by its sum of digits (36) gives a square (1174227289 = 342672).

It can be divided in two parts, 42272 and 182404, that added together give a square (224676 = 4742).

The spelling of 42272182404 in words is "forty-two billion, two hundred seventy-two million, one hundred eighty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 34267 68534 102801 137068 205602 308403 411204 616806 1233612 1174227289 2348454578 3522681867 4696909156 7045363734 10568045601 14090727468 21136091202 42272182404