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242212314042 = 2351591331319
BaseRepresentation
bin1110000110010011111…
…0101001101110111010
3212011012012012102100000
43201210332221232322
512432022323022132
6303134254253430
723333150461656
oct3414476515672
9764165172300
10242212314042
11937a359a556
123ab384b7276
1319ac0824caa
14ba1a413a66
1564792ab87c
hex3864fa9bba

242212314042 has 48 divisors (see below), whose sum is σ = 544281716160. Its totient is φ = 80729786592.

The previous prime is 242212314041. The next prime is 242212314107. The reversal of 242212314042 is 240413212242.

It is a happy number.

242212314042 is a `hidden beast` number, since 2 + 4 + 2 + 21 + 231 + 404 + 2 = 666.

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 = 242212313997 and 242212314015.

It is not an unprimeable number, because it can be changed into a prime (242212314041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7718059 + ... + 7749377.

It is an arithmetic number, because the mean of its divisors is an integer number (11339202420).

Almost surely, 2242212314042 is an apocalyptic number.

242212314042 is an abundant number, since it is smaller than the sum of its proper divisors (302069402118).

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

242212314042 is a wasteful number, since it uses less digits than its factorization.

242212314042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47249 (or 47237 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 242212314042 its reverse (240413212242), we get a palindrome (482625526284).

The spelling of 242212314042 in words is "two hundred forty-two billion, two hundred twelve million, three hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 15913 31319 31826 47739 62638 93957 95478 143217 187914 281871 286434 429651 563742 845613 859302 1288953 1691226 2536839 2577906 3866859 5073678 7610517 7733718 15221034 498379247 996758494 1495137741 2990275482 4485413223 8970826446 13456239669 26912479338 40368719007 80737438014 121106157021 242212314042