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242461102242 = 23237130898011
BaseRepresentation
bin1110000111001111001…
…1101101000010100010
3212011211112100011120210
43201303303231002202
512433030020232432
6303215102514550
723342261236002
oct3416363550242
9764745304523
10242461102242
1193910a75837
123aba7895a56
1319b30231c48
14ba41496002
1564910518cc
hex3873ced0a2

242461102242 has 64 divisors (see below), whose sum is σ = 513362810880. Its totient is φ = 76183430400.

The previous prime is 242461102241. The next prime is 242461102259. The reversal of 242461102242 is 242201164242.

242461102242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2424611022422 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242461102241) 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 31 ways as a sum of consecutive naturals, for example, 30262017 + ... + 30270027.

It is an arithmetic number, because the mean of its divisors is an integer number (8021293920).

Almost surely, 2242461102242 is an apocalyptic number.

242461102242 is an abundant number, since it is smaller than the sum of its proper divisors (270901708638).

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

242461102242 is a wasteful number, since it uses less digits than its factorization.

242461102242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11199.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 242461102242 its reverse (242201164242), we get a palindrome (484662266484).

The spelling of 242461102242 in words is "two hundred forty-two billion, four hundred sixty-one million, one hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 23 46 69 71 138 142 213 426 1633 3089 3266 4899 6178 8011 9267 9798 16022 18534 24033 48066 71047 142094 184253 213141 219319 368506 426282 438638 552759 568781 657957 1105518 1137562 1315914 1706343 3412686 5044337 10088674 13081963 15133011 24745979 26163926 30266022 39245889 49491958 74237937 78491778 148475874 569157517 1138315034 1707472551 1756964509 3414945102 3513929018 5270893527 10541787054 40410183707 80820367414 121230551121 242461102242