Search a number
-
+
32442414201 = 327095084221
BaseRepresentation
bin11110001101101101…
…111111010001111001
310002201222010101210100
4132031231333101321
51012420224223301
622523121310013
72225644653651
oct361555772171
9102658111710
1032442414201
1112838995a6a
126354a95309
1330a03b13c2
1417da989361
15c9d27c286
hex78db7f479

32442414201 has 12 divisors (see below), whose sum is σ = 46927369060. Its totient is φ = 21597766560.

The previous prime is 32442414197. The next prime is 32442414211. The reversal of 32442414201 is 10241424423.

32442414201 is a `hidden beast` number, since 3 + 2 + 4 + 42 + 414 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8657372025 + 23785042176 = 93045^2 + 154224^2 .

It is not a de Polignac number, because 32442414201 - 22 = 32442414197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32442414211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2535730 + ... + 2548491.

Almost surely, 232442414201 is an apocalyptic number.

It is an amenable number.

32442414201 is a deficient number, since it is larger than the sum of its proper divisors (14484954859).

32442414201 is a wasteful number, since it uses less digits than its factorization.

32442414201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084936 (or 5084933 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 32442414201 its reverse (10241424423), we get a palindrome (42683838624).

The spelling of 32442414201 in words is "thirty-two billion, four hundred forty-two million, four hundred fourteen thousand, two hundred one".

Divisors: 1 3 9 709 2127 6381 5084221 15252663 45757989 3604712689 10814138067 32442414201