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3124140414213 = 3741333363667
BaseRepresentation
bin101101011101100101010…
…001111001010100000101
3102001122221201100201111010
4231131211101321110011
5402141214421223323
610351113231232433
7441466053240000
oct55354521712405
912048851321433
103124140414213
11aa4a388aa325
12425590378719
131987b375c6c0
14ab2d00a4537
15563ece58c93
hex2d765479505

3124140414213 has 40 divisors (see below), whose sum is σ = 5233291507808. Its totient is φ = 1647898191072.

The previous prime is 3124140414211. The next prime is 3124140414253.

It is a happy number.

3124140414213 is nontrivially palindromic in base 10.

3124140414213 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 3124140414213 - 21 = 3124140414211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3124140414211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16588195 + ... + 16775472.

Almost surely, 23124140414213 is an apocalyptic number.

It is an amenable number.

3124140414213 is a deficient number, since it is larger than the sum of its proper divisors (2109151093595).

3124140414213 is an equidigital number, since it uses as much as digits as its factorization.

3124140414213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33363711 (or 33363690 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 3124140 and 414213, that added together give a palindrome (3538353).

The spelling of 3124140414213 in words is "three trillion, one hundred twenty-four billion, one hundred forty million, four hundred fourteen thousand, two hundred thirteen".

Divisors: 1 3 7 13 21 39 49 91 147 273 343 637 1029 1911 2401 4459 7203 13377 31213 93639 33363667 100091001 233545669 433727671 700637007 1301183013 1634819683 3036093697 4904459049 9108281091 11443737781 21252655879 34331213343 63757967637 80106164467 148768591153 240318493401 446305773459 1041380138071 3124140414213