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242202144314 = 213181191467577
BaseRepresentation
bin1110000110010001011…
…1110110111000111010
3212011011111001202002102
43201210113312320322
512432012222104224
6303133252303402
723332665154424
oct3414427667072
9764144052072
10242202144314
1193798883919
123ab35011b62
1319abb6a40c0
14ba18d27814
15647844d4ae
hex38645f6e3a

242202144314 has 64 divisors (see below), whose sum is σ = 397004654592. Its totient is φ = 110157926400.

The previous prime is 242202144257. The next prime is 242202144319. The reversal of 242202144314 is 413441202242.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242202144319) 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, 419760794 + ... + 419761370.

It is an arithmetic number, because the mean of its divisors is an integer number (6203197728).

Almost surely, 2242202144314 is an apocalyptic number.

242202144314 is a deficient number, since it is larger than the sum of its proper divisors (154802510278).

242202144314 is a wasteful number, since it uses less digits than its factorization.

242202144314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 242202144314 its reverse (413441202242), we get a palindrome (655643346556).

The spelling of 242202144314 in words is "two hundred forty-two billion, two hundred two million, one hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 13 26 181 191 362 382 467 577 934 1154 2353 2483 4706 4966 6071 7501 12142 15002 34571 69142 84527 89197 104437 110207 169054 178394 208874 220414 269459 449423 538918 898846 1098851 1159561 1357681 1432691 2197702 2319122 2715362 2865382 3502967 7005934 16144657 19947467 32289314 39894934 48772079 51466669 97544158 102933338 209880541 259317071 419761082 518634142 634037027 669066697 1268074054 1338133394 9315467089 18630934178 121101072157 242202144314