Search a number
-
+
242044002333 = 33723110095849
BaseRepresentation
bin1110000101101011110…
…0100110000000011101
3212010202110111022002000
43201122330212000131
512431201231033313
6303105442552513
723326035034200
oct3413274460035
9763673438060
10242044002333
1193717590471
123aab0068739
1319a949b4273
14ba01d1d937
156469611673
hex385af2601d

242044002333 has 96 divisors (see below), whose sum is σ = 431084160000. Its totient is φ = 133693701120.

The previous prime is 242044002311. The next prime is 242044002397. The reversal of 242044002333 is 333200440242.

242044002333 is a `hidden beast` number, since 2 + 4 + 20 + 4 + 400 + 233 + 3 = 666.

It is not a de Polignac number, because 242044002333 - 26 = 242044002269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242044002297 and 242044002306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242044000333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41379193 + ... + 41385041.

It is an arithmetic number, because the mean of its divisors is an integer number (4490460000).

Almost surely, 2242044002333 is an apocalyptic number.

It is an amenable number.

242044002333 is a deficient number, since it is larger than the sum of its proper divisors (189040157667).

242044002333 is a wasteful number, since it uses less digits than its factorization.

242044002333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 242044002333 its reverse (333200440242), we get a palindrome (575244442575).

The spelling of 242044002333 in words is "two hundred forty-two billion, forty-four million, two thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 27 31 49 63 93 147 189 217 279 441 651 837 1009 1323 1519 1953 3027 4557 5849 5859 7063 9081 13671 17547 21189 27243 31279 40943 41013 49441 52641 63567 93837 122829 148323 157923 181319 190701 218953 281511 286601 368487 444969 543957 656859 844533 859803 1105461 1269233 1334907 1532671 1631871 1970577 2579409 3807699 4598013 4895613 5901641 5911731 7738227 8884631 11423097 13794039 17704923 26653893 34269291 41311487 41382117 53114769 79961679 123934461 159344307 182950871 239885037 289180409 371803383 548852613 867541227 1115410149 1280656097 1646557839 2602623681 3841968291 4939673517 7807871043 8964592679 11525904873 26893778037 34577714619 80681334111 242044002333