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242863386435 = 325171448921911
BaseRepresentation
bin1110001000101111001…
…0010010111101000011
3212012212120022022202100
43202023302102331003
512434341011331220
6303323033121443
723355244503135
oct3421362227503
9765776268670
10242863386435
1193aa806090a
123b09a559283
1319b95693127
14ba7ca93055
1564b6516d90
hex388bc92f43

242863386435 has 48 divisors (see below), whose sum is σ = 445776851520. Its totient is φ = 121893918720.

The previous prime is 242863386431. The next prime is 242863386497. The reversal of 242863386435 is 534683368242.

242863386435 is a `hidden beast` number, since 24 + 2 + 86 + 33 + 86 + 435 = 666.

242863386435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242863386435 - 22 = 242863386431 is a prime.

It is a super-2 number, since 2×2428633864352 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242863386431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11073130 + ... + 11095040.

It is an arithmetic number, because the mean of its divisors is an integer number (9287017740).

Almost surely, 2242863386435 is an apocalyptic number.

242863386435 is a deficient number, since it is larger than the sum of its proper divisors (202913465085).

242863386435 is a wasteful number, since it uses less digits than its factorization.

242863386435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36428 (or 36425 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 242863386435 in words is "two hundred forty-two billion, eight hundred sixty-three million, three hundred eighty-six thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 14489 21911 43467 65733 72445 109555 130401 197199 217335 246313 328665 372487 652005 738939 985995 1117461 1231565 1862435 2216817 3352383 3694695 5587305 11084085 16761915 317468479 952405437 1587342395 2857216311 4762027185 5396964143 14286081555 16190892429 26984820715 48572677287 80954462145 242863386435