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234201441441 = 31123382380713
BaseRepresentation
bin1101101000011101111…
…1100110010010100001
3211101111220022221000210
43122013133212102201
512314121032111231
6255331325404333
722630505256162
oct3320737462241
9741456287023
10234201441441
1190362676390
12394817096a9
1319114c760a6
14b49a519769
15615ad64a46
hex36877e64a1

234201441441 has 32 divisors (see below), whose sum is σ = 355565187072. Its totient is φ = 135731756160.

The previous prime is 234201441347. The next prime is 234201441449. The reversal of 234201441441 is 144144102432.

It is a happy number.

It is not a de Polignac number, because 234201441441 - 218 = 234201179297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 234201441399 and 234201441408.

It is not an unprimeable number, because it can be changed into a prime (234201441449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2861301 + ... + 2942013.

It is an arithmetic number, because the mean of its divisors is an integer number (11111412096).

Almost surely, 2234201441441 is an apocalyptic number.

It is an amenable number.

234201441441 is a deficient number, since it is larger than the sum of its proper divisors (121363745631).

234201441441 is a wasteful number, since it uses less digits than its factorization.

234201441441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84573.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 234201441441 its reverse (144144102432), we get a palindrome (378345543873).

The spelling of 234201441441 in words is "two hundred thirty-four billion, two hundred one million, four hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 11 23 33 69 253 759 3823 11469 42053 80713 87929 126159 242139 263787 887843 967219 1856399 2663529 2901657 5569197 20420389 61261167 308565799 925697397 3394223789 7097013377 10182671367 21291040131 78067147147 234201441441