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242340033045 = 35117927496763
BaseRepresentation
bin1110000110110010010…
…1110111001000010101
3212011112002112012212110
43201230211313020111
512432303022024140
6303155055541233
723336261202405
oct3415445671025
9764462465773
10242340033045
11938596a3750
123ab7322a819
1319b11122476
14ba2d37c805
1564855d9380
hex386c977215

242340033045 has 64 divisors (see below), whose sum is σ = 428567040000. Its totient is φ = 115951530240.

The previous prime is 242340033043. The next prime is 242340033049. The reversal of 242340033045 is 540330043242.

242340033045 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 242340033045 - 21 = 242340033043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242340033043) 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 63 ways as a sum of consecutive naturals, for example, 35829834 + ... + 35836596.

It is an arithmetic number, because the mean of its divisors is an integer number (6696360000).

Almost surely, 2242340033045 is an apocalyptic number.

It is an amenable number.

242340033045 is a deficient number, since it is larger than the sum of its proper divisors (186227006955).

242340033045 is a wasteful number, since it uses less digits than its factorization.

242340033045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610.

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 242340033045 its reverse (540330043242), we get a palindrome (782670076287).

The spelling of 242340033045 in words is "two hundred forty-two billion, three hundred forty million, thirty-three thousand, forty-five".

Divisors: 1 3 5 11 15 33 55 79 165 237 395 869 1185 2607 2749 4345 6763 8247 13035 13745 20289 30239 33815 41235 74393 90717 101445 151195 217171 223179 371965 453585 534277 651513 1085855 1115895 1602831 2388881 2671385 3257565 5877047 7166643 8014155 11944405 17631141 18591487 29385235 35833215 55774461 88155705 92957435 204506357 278872305 613519071 1022531785 1468727473 3067595355 4406182419 7343637365 16156002203 22030912095 48468006609 80780011015 242340033045