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242042262305 = 53783123712743
BaseRepresentation
bin1110000101101011010…
…1111101001100100001
3212010202100012220012112
43201122311331030201
512431200304343210
6303105341405105
723326014166214
oct3413265751441
9763670186175
10242042262305
1193716602128
123aaab569795
1319a9452526c
14ba019c977b
1564693bad05
hex385ad7d321

242042262305 has 32 divisors (see below), whose sum is σ = 302162482944. Its totient is φ = 185965514496.

The previous prime is 242042262271. The next prime is 242042262307. The reversal of 242042262305 is 503262240242.

It is a cyclic number.

It is not a de Polignac number, because 242042262305 - 222 = 242038068001 is a prime.

It is a super-3 number, since 3×2420422623053 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242042262307) 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, 18987764 + ... + 19000506.

It is an arithmetic number, because the mean of its divisors is an integer number (9442577592).

Almost surely, 2242042262305 is an apocalyptic number.

It is an amenable number.

242042262305 is a deficient number, since it is larger than the sum of its proper divisors (60120220639).

242042262305 is a wasteful number, since it uses less digits than its factorization.

242042262305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14105.

The product of its (nonzero) digits is 46080, while the sum is 32.

The spelling of 242042262305 in words is "two hundred forty-two billion, forty-two million, two hundred sixty-two thousand, three hundred five".

Divisors: 1 5 37 83 185 415 1237 3071 6185 12743 15355 45769 63715 102671 228845 471491 513355 1057669 2357455 3798827 5288345 15763091 18994135 39133753 78815455 195668765 583234367 1308336553 2916171835 6541682765 48408452461 242042262305