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3340073737041 = 3711571814491229
BaseRepresentation
bin110000100110101011111…
…010001001101101010001
3102211022022111000001220020
4300212223322021231101
5414210432334041131
611034224135534053
7463212066220146
oct60465372115521
912738274001806
103340073737041
111078576604818
1245b3b3b2a329
131b2c76a8a842
14b793631c3cd
155bd3a102996
hex309abe89b51

3340073737041 has 64 divisors (see below), whose sum is σ = 4583936448000. Its totient is φ = 2162726092800.

The previous prime is 3340073737037. The next prime is 3340073737051. The reversal of 3340073737041 is 1407373700433.

3340073737041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3340073737041 - 22 = 3340073737037 is a prime.

It is a super-2 number, since 2×33400737370412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3340073736984 and 3340073737002.

It is not an unprimeable number, because it can be changed into a prime (3340073737051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2717716015 + ... + 2717717243.

It is an arithmetic number, because the mean of its divisors is an integer number (71624007000).

Almost surely, 23340073737041 is an apocalyptic number.

It is an amenable number.

3340073737041 is a deficient number, since it is larger than the sum of its proper divisors (1243862710959).

3340073737041 is a wasteful number, since it uses less digits than its factorization.

3340073737041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090.

The product of its (nonzero) digits is 444528, while the sum is 42.

The spelling of 3340073737041 in words is "three trillion, three hundred forty billion, seventy-three million, seven hundred thirty-seven thousand, forty-one".

Divisors: 1 3 71 157 181 213 449 471 543 1229 1347 3687 11147 12851 28417 31879 33441 38553 70493 81269 85251 87259 95637 192953 211479 222449 243807 261777 551821 578859 667347 1655463 2017607 5005003 5770099 6052821 12759233 13699663 15015009 15793879 17310297 34924493 38277699 39179291 41098989 47381637 86635897 99879601 104773479 117537873 259907691 299638803 905905543 2479639003 2717716629 6151148687 7091451671 7438917009 15681097357 18453446061 21274355013 47043292071 1113357912347 3340073737041