Search a number
-
+
221041656124044 = 22372631448287191
BaseRepresentation
bin110010010000100101000101…
…011001001101001010001100
31001222122101011001212100022020
4302100211011121031022030
5212433021302431432134
62102041045053250140
764362506204321310
oct6220450531151214
91058571131770266
10221041656124044
1164481270379878
122095b42b493950
1396451a5a47452
143c8268a7d9b40
151a84c0275bb49
hexc9094564d28c

221041656124044 has 24 divisors (see below), whose sum is σ = 589444416331008. Its totient is φ = 63154758892560.

The previous prime is 221041656124021. The next prime is 221041656124073. The reversal of 221041656124044 is 440421656140122.

It is a happy number.

It is a super-2 number, since 2×2210416561240442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 221041656123987 and 221041656124005.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1315724143512 + ... + 1315724143679.

It is an arithmetic number, because the mean of its divisors is an integer number (24560184013792).

Almost surely, 2221041656124044 is an apocalyptic number.

It is an amenable number.

221041656124044 is an abundant number, since it is smaller than the sum of its proper divisors (368402760206964).

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

221041656124044 is a wasteful number, since it uses less digits than its factorization.

221041656124044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631448287205 (or 2631448287203 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 221041656124044 in words is "two hundred twenty-one trillion, forty-one billion, six hundred fifty-six million, one hundred twenty-four thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2631448287191 5262896574382 7894344861573 10525793148764 15788689723146 18420138010337 31577379446292 36840276020674 55260414031011 73680552041348 110520828062022 221041656124044