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242234261929 = 11210124432
BaseRepresentation
bin1110000110011001001…
…0011000000110101001
3212011020201111111011201
43201212102120012221
512432043432340204
6303140400524201
723333535152662
oct3414622300651
9764221444151
10242234261929
1193804a20300
123ab43920661
1319ac523abca
14ba1d2c8369
15647b1949a4
hex38664981a9

242234261929 has 27 divisors (see below), whose sum is σ = 269528221207. Its totient is φ = 217540466000.

The previous prime is 242234261879. The next prime is 242234261933. The reversal of 242234261929 is 929162432242.

The square root of 242234261929 is 492173.

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., 232735810329 + 9498451600 = 482427^2 + 97460^2 .

It is not a de Polignac number, because 242234261929 - 221 = 242232164777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242234261989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 546803982 + ... + 546804424.

Almost surely, 2242234261929 is an apocalyptic number.

242234261929 is the 492173-rd square number.

242234261929 is the 246087-th centered octagonal number.

It is an amenable number.

242234261929 is a deficient number, since it is larger than the sum of its proper divisors (27293959278).

242234261929 is an frugal number, since it uses more digits than its factorization.

242234261929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 555 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The spelling of 242234261929 in words is "two hundred forty-two billion, two hundred thirty-four million, two hundred sixty-one thousand, nine hundred twenty-nine".

Divisors: 1 11 101 121 443 1111 4873 10201 12221 44743 53603 112211 196249 492173 1234321 2158739 4519043 5413903 19821149 23746129 49709473 218032639 546804203 2001936049 2398359029 22021296539 242234261929