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3040435030401 = 324173112872073
BaseRepresentation
bin101100001111101000000…
…011001100100110000001
3101202122220010220122110200
4230033220003030212001
5344303302331433101
610244431230315413
7432443546226066
oct54175003144601
911678803818420
103040435030401
11a7249434657a
1241130b658b69
13190933a6a5b2
14a722d186c6d
155414e50d986
hex2c3e80cc981

3040435030401 has 24 divisors (see below), whose sum is σ = 4560483277896. Its totient is φ = 1950429404160.

The previous prime is 3040435030379. The next prime is 3040435030421. The reversal of 3040435030401 is 1040305340403.

3040435030401 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 4 + 350 + 304 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76101498225 + 2964333532176 = 275865^2 + 1721724^2 .

It is not a de Polignac number, because 3040435030401 - 217 = 3040434899329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3040435030421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56409100 + ... + 56462973.

It is an arithmetic number, because the mean of its divisors is an integer number (190020136579).

Almost surely, 23040435030401 is an apocalyptic number.

It is an amenable number.

3040435030401 is a deficient number, since it is larger than the sum of its proper divisors (1520048247495).

3040435030401 is a wasteful number, since it uses less digits than its factorization.

3040435030401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112872193 (or 112872190 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 3040435030401 in words is "three trillion, forty billion, four hundred thirty-five million, thirty thousand, four hundred one".

Divisors: 1 3 9 41 73 123 219 369 657 2993 8979 26937 112872073 338616219 1015848657 4627754993 8239661329 13883264979 24718983987 41649794937 74156951961 337826114489 1013478343467 3040435030401