Search a number
-
+
234239544289 = 379212772
BaseRepresentation
bin1101101000100111000…
…0111100101111100001
3211101121120000202022101
43122021300330233201
512314210310404124
6255335210210401
722631450163202
oct3321160745741
9741546022271
10234239544289
1190382130643
1239492423a01
131911cb2725a
14b4a15d75a9
15615e38e644
hex3689c3cbe1

234239544289 has 9 divisors (see below), whose sum is σ = 235043280147. Its totient is φ = 233438552424.

The previous prime is 234239544247. The next prime is 234239544293. The reversal of 234239544289 is 982445932432.

It is a happy number.

The square root of 234239544289 is 483983.

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

It can be written as a sum of positive squares in only one way, i.e., 153871830225 + 80367714064 = 392265^2 + 283492^2 .

It is a de Polignac number, because none of the positive numbers 2k-234239544289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (234239544589) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 183428919 + ... + 183430195.

Almost surely, 2234239544289 is an apocalyptic number.

234239544289 is the 483983-rd square number.

234239544289 is the 241992-nd centered octagonal number.

It is an amenable number.

234239544289 is a deficient number, since it is larger than the sum of its proper divisors (803735858).

234239544289 is an frugal number, since it uses more digits than its factorization.

234239544289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 1656 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 55.

The spelling of 234239544289 in words is "two hundred thirty-four billion, two hundred thirty-nine million, five hundred forty-four thousand, two hundred eighty-nine".

Divisors: 1 379 1277 143641 483983 1630729 183429557 618046291 234239544289