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42319484089 = 172121012
BaseRepresentation
bin100111011010011100…
…000001010010111001
311001020022120112111121
4213122130001102321
51143132241442324
631235153225241
73025500452041
oct473234012271
9131208515447
1042319484089
1116a47277843
128250862221
133cb578a05c
14209666c721
15117a4565e4
hex9da7014b9

42319484089 has 9 divisors (see below), whose sum is σ = 44959015021. Its totient is φ = 39826811200.

The previous prime is 42319484063. The next prime is 42319484101. The reversal of 42319484089 is 98048491324.

The square root of 42319484089 is 205717.

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

It can be written as a sum of positive squares in 4 ways, for example, as 32301075625 + 10018408464 = 179725^2 + 100092^2 .

It is not a de Polignac number, because 42319484089 - 213 = 42319475897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42319481089) by changing a digit.

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, 3491139 + ... + 3503239.

Almost surely, 242319484089 is an apocalyptic number.

42319484089 is the 205717-th square number.

42319484089 is the 102859-th centered octagonal number.

It is an amenable number.

42319484089 is a deficient number, since it is larger than the sum of its proper divisors (2639530932).

42319484089 is an frugal number, since it uses more digits than its factorization.

42319484089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24236 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 42319484089 in words is "forty-two billion, three hundred nineteen million, four hundred eighty-four thousand, eighty-nine".

Divisors: 1 17 289 12101 205717 3497189 146434201 2489381417 42319484089