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3412140141201 = 3111729434877503
BaseRepresentation
bin110001101001110011011…
…001101010101010010001
3110002012022220122201101020
4301221303121222222101
5421401030334004301
611131303205030053
7501343004440551
oct61516331525221
913065286581336
103412140141201
1110a6098178920
124713669b5329
131b99c035c43c
14bb211557161
155db56d41436
hex31a7366aa91

3412140141201 has 64 divisors (see below), whose sum is σ = 5562695761920. Its totient is φ = 1835501552640.

The previous prime is 3412140141187. The next prime is 3412140141359. The reversal of 3412140141201 is 1021410412143.

It is a happy number.

3412140141201 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 3412140141201 - 210 = 3412140140177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3412140145201) 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, 1739185 + ... + 3138318.

It is an arithmetic number, because the mean of its divisors is an integer number (86917121280).

Almost surely, 23412140141201 is an apocalyptic number.

It is an amenable number.

3412140141201 is a deficient number, since it is larger than the sum of its proper divisors (2150555620719).

3412140141201 is a wasteful number, since it uses less digits than its factorization.

3412140141201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877606.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 3412140141201 its reverse (1021410412143), we get a palindrome (4433550553344).

The spelling of 3412140141201 in words is "three trillion, four hundred twelve billion, one hundred forty million, one hundred forty-one thousand, two hundred one".

Divisors: 1 3 11 17 29 33 43 51 87 129 187 319 473 493 561 731 957 1247 1419 1479 2193 3741 5423 8041 13717 16269 21199 24123 41151 63597 233189 699567 4877503 14632509 53652533 82917551 141447587 160957599 209732629 248752653 424342761 629197887 912093061 1555923457 2307058919 2404608979 2736279183 3565454693 4667770371 6082246241 6921176757 7213826937 10696364079 18246738723 26450698769 39220001623 66904708651 79352096307 103398186097 117660004869 200714125953 310194558291 1137380047067 3412140141201