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239190443041 = 11217322572
BaseRepresentation
bin1101111011000011011…
…1001000010000100001
3211212101121000110121211
43132300313020100201
512404330223134131
6301514345150121
723165235135304
oct3366067102041
9755347013554
10239190443041
1192492851100
123a43448b341
131972b753844
14b810d56b3b
15634dd475b1
hex37b0dc8421

239190443041 has 27 divisors (see below), whose sum is σ = 265473269593. Its totient is φ = 215347742720.

The previous prime is 239190443039. The next prime is 239190443057. The reversal of 239190443041 is 140344091932.

The square root of 239190443041 is 489071.

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 197598919441 + 41591523600 = 444521^2 + 203940^2 .

It is not a de Polignac number, because 239190443041 - 21 = 239190443039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 239190442985 and 239190443003.

It is not an unprimeable number, because it can be changed into a prime (239190443081) 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 26 ways as a sum of consecutive naturals, for example, 930701985 + ... + 930702241.

Almost surely, 2239190443041 is an apocalyptic number.

239190443041 is the 489071-st square number.

239190443041 is the 244536-th centered octagonal number.

It is an amenable number.

239190443041 is a deficient number, since it is larger than the sum of its proper divisors (26282826552).

239190443041 is an frugal number, since it uses more digits than its factorization.

239190443041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 239190443041 in words is "two hundred thirty-nine billion, one hundred ninety million, four hundred forty-three thousand, forty-one".

Divisors: 1 11 121 173 257 1903 2827 20933 29929 31097 44461 66049 329219 489071 726539 3621409 5379781 7691753 7991929 11426477 84609283 125691247 930702113 1382603717 1976780521 21744585731 239190443041