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4340135035413 = 321767772727941
BaseRepresentation
bin111111001010000100001…
…101010000001000010101
3120100220122110202202221100
4333022010031100020111
51032102044032113123
613121455220140313
7625364410051512
oct77120415201025
916326573682840
104340135035413
111423706098021
125a1192537699
132563719692b8
141100c6960309
1577d6be26643
hex3f284350215

4340135035413 has 12 divisors (see below), whose sum is σ = 6269121701388. Its totient is φ = 2893405928640.

The previous prime is 4340135035387. The next prime is 4340135035429. The reversal of 4340135035413 is 3145305310434.

4340135035413 is a `hidden beast` number, since 43 + 40 + 1 + 35 + 0 + 3 + 541 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3811092648804 + 529042386609 = 1952202^2 + 727353^2 .

It is not a de Polignac number, because 4340135035413 - 25 = 4340135035381 is a prime.

It is a super-3 number, since 3×43401350354133 (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340135035013) 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 11 ways as a sum of consecutive naturals, for example, 227023 + ... + 2954963.

It is an arithmetic number, because the mean of its divisors is an integer number (522426808449).

Almost surely, 24340135035413 is an apocalyptic number.

It is an amenable number.

4340135035413 is a deficient number, since it is larger than the sum of its proper divisors (1928986665975).

4340135035413 is a wasteful number, since it uses less digits than its factorization.

4340135035413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904724 (or 2904721 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 4340135035413 in words is "four trillion, three hundred forty billion, one hundred thirty-five million, thirty-five thousand, four hundred thirteen".

Divisors: 1 3 9 176777 530331 1590993 2727941 8183823 24551469 482237226157 1446711678471 4340135035413