Search a number
-
+
242307706050 = 232524113133209
BaseRepresentation
bin1110000110101010101…
…0100010110011000010
3212011102211200211120100
43201222222202303002
512432221233043200
6303151543023230
723335416342534
oct3415252426302
9764384624510
10242307706050
1193842423a23
123ab6443ab16
1319b07514277
14ba28d65854
156482850d00
hex386aaa2cc2

242307706050 has 72 divisors (see below), whose sum is σ = 666878137380. Its totient is φ = 63039398400.

The previous prime is 242307705979. The next prime is 242307706057. The reversal of 242307706050 is 50607703242.

It is a happy number.

242307706050 is a `hidden beast` number, since 2 + 42 + 3 + 0 + 7 + 7 + 0 + 605 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 45041148441 + 197266557609 = 212229^2 + 444147^2 .

It is a super-2 number, since 2×2423077060502 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242307705996 and 242307706014.

It is not an unprimeable number, because it can be changed into a prime (242307706057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6548155 + ... + 6585054.

Almost surely, 2242307706050 is an apocalyptic number.

242307706050 is an abundant number, since it is smaller than the sum of its proper divisors (424570431330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242307706050 is a wasteful number, since it uses less digits than its factorization.

242307706050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13133268 (or 13133260 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 242307706050 in words is "two hundred forty-two billion, three hundred seven million, seven hundred six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3690 6150 9225 18450 13133209 26266418 39399627 65666045 78799254 118198881 131332090 196998135 236397762 328330225 393996270 538461569 590994405 656660450 984990675 1076923138 1181988810 1615384707 1969981350 2692307845 2954972025 3230769414 4846154121 5384615690 5909944050 8076923535 9692308242 13461539225 16153847070 24230770605 26923078450 40384617675 48461541210 80769235350 121153853025 242307706050