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242366182249 = 4321074
BaseRepresentation
bin1110000110111000100…
…1100111001101101001
3212011120220201201211111
43201232021213031221
512432331220312444
6303201432230321
723340026362222
oct3415611471551
9764526651744
10242366182249
1193872433a64
123ab7bb3b3a1
1319b16679779
14ba32a28249
156487a52234
hex386e267369

242366182249 has 15 divisors (see below), whose sum is σ = 250474568493. Its totient is φ = 234517331748.

The previous prime is 242366182237. The next prime is 242366182273. The reversal of 242366182249 is 942281663242.

The square root of 242366182249 is 492307.

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

It is not a de Polignac number, because 242366182249 - 211 = 242366180201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242366182229) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2265104454 + ... + 2265104560.

Almost surely, 2242366182249 is an apocalyptic number.

242366182249 is the 492307-th square number.

242366182249 is the 246154-th centered octagonal number.

It is an amenable number.

242366182249 is a deficient number, since it is larger than the sum of its proper divisors (8108386244).

242366182249 is an frugal number, since it uses more digits than its factorization.

242366182249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 150 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 49.

Multiplying 242366182249 by its sum of digits (49), we get a square (11875942930201 = 34461492).

The spelling of 242366182249 in words is "two hundred forty-two billion, three hundred sixty-six million, one hundred eighty-two thousand, two hundred forty-nine".

Divisors: 1 43 107 1849 4601 11449 197843 492307 1225043 21169201 52676849 131079601 2265104507 5636422843 242366182249