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2420045220241 = 112124571605553
BaseRepresentation
bin100011001101110101111…
…011111000100110010001
322120100120010000220201101
4203031311323320212101
5304122223034021431
65051430423504401
7336561655652305
oct43156573704621
98510503026641
102420045220241
11853376488900
123310302b8101
13147294a50c7c
14851b8d49d05
1542e3e5c5961
hex23375ef8991

2420045220241 has 12 divisors (see below), whose sum is σ = 2660264900356. Its totient is φ = 2199863128320.

The previous prime is 2420045220239. The next prime is 2420045220301. The reversal of 2420045220241 is 1420225400242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1963582835841 + 456462384400 = 1401279^2 + 675620^2 .

It is not a de Polignac number, because 2420045220241 - 21 = 2420045220239 is a prime.

It is a super-6 number, since 6×24200452202416 (a number of 76 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2420045220211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 704521 + ... + 2310073.

Almost surely, 22420045220241 is an apocalyptic number.

It is an amenable number.

2420045220241 is a deficient number, since it is larger than the sum of its proper divisors (240219680115).

2420045220241 is a wasteful number, since it uses less digits than its factorization.

2420045220241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618032 (or 1618021 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The spelling of 2420045220241 in words is "two trillion, four hundred twenty billion, forty-five million, two hundred twenty thousand, two hundred forty-one".

Divisors: 1 11 121 12457 137027 1507297 1605553 17661083 194271913 20000373721 220004110931 2420045220241