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242045541405 = 3255378789809
BaseRepresentation
bin1110000101101100001…
…0011101110000011101
3212010202120101111021200
43201123002131300131
512431202124311110
6303105535550113
723326054104243
oct3413302356035
9763676344250
10242045541405
1193718441828
123aab068b339
1319a95102965
14ba02200793
1564698176c0
hex385b09dc1d

242045541405 has 12 divisors (see below), whose sum is σ = 419545605180. Its totient is φ = 129090955392.

The previous prime is 242045541403. The next prime is 242045541499. The reversal of 242045541405 is 504145540242.

242045541405 is a `hidden beast` number, since 2 + 4 + 204 + 5 + 5 + 41 + 405 = 666.

242045541405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 144927921636 + 97117619769 = 380694^2 + 311637^2 .

It is not a de Polignac number, because 242045541405 - 21 = 242045541403 is a prime.

It is a super-2 number, since 2×2420455414052 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242045541405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242045541403) 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 11 ways as a sum of consecutive naturals, for example, 2689394860 + ... + 2689394949.

It is an arithmetic number, because the mean of its divisors is an integer number (34962133765).

Almost surely, 2242045541405 is an apocalyptic number.

It is an amenable number.

242045541405 is a deficient number, since it is larger than the sum of its proper divisors (177500063775).

242045541405 is a wasteful number, since it uses less digits than its factorization.

242045541405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378789820 (or 5378789817 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 242045541405 in words is "two hundred forty-two billion, forty-five million, five hundred forty-one thousand, four hundred five".

Divisors: 1 3 5 9 15 45 5378789809 16136369427 26893949045 48409108281 80681847135 242045541405