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234144414401 = 1217449342821
BaseRepresentation
bin1101101000010000011…
…0000011101011000001
3211101100221000122122012
43122010012003223001
512314011432230101
6255321531222305
722626213453452
oct3320406035301
9741327018565
10234144414401
11903334660a7
12394665a7995
13191061ca391
14b492b13129
156155d4cbbb
hex3684183ac1

234144414401 has 8 divisors (see below), whose sum is σ = 234394438824. Its totient is φ = 233894487040.

The previous prime is 234144414373. The next prime is 234144414407. The reversal of 234144414401 is 104414441432.

It can be written as a sum of positive squares in 4 ways, for example, as 33060330625 + 201084083776 = 181825^2 + 448424^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 234144414401 - 218 = 234144152257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (234144414407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5446571 + ... + 5489391.

It is an arithmetic number, because the mean of its divisors is an integer number (29299304853).

Almost surely, 2234144414401 is an apocalyptic number.

It is an amenable number.

234144414401 is a deficient number, since it is larger than the sum of its proper divisors (250024423).

234144414401 is a wasteful number, since it uses less digits than its factorization.

234144414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48531.

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 234144414401 its reverse (104414441432), we get a palindrome (338558855833).

The spelling of 234144414401 in words is "two hundred thirty-four billion, one hundred forty-four million, four hundred fourteen thousand, four hundred one".

Divisors: 1 1217 4493 42821 5467981 52113157 192394753 234144414401