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3414543306441 = 33497394413077
BaseRepresentation
bin110001101100000010101…
…001000000111011001001
3110002102112101122011100020
4301230002221000323021
5421420441041301231
611132341453131053
7501456365136321
oct61540251007311
913072471564306
103414543306441
1110a71107524a3
12471917789a89
131b9cb41b59c7
14bb39c79c281
155dc47ce0396
hex31b02a40ec9

3414543306441 has 16 divisors (see below), whose sum is σ = 4571948808000. Its totient is φ = 2266767661248.

The previous prime is 3414543306431. The next prime is 3414543306479. The reversal of 3414543306441 is 1446033454143.

It is a de Polignac number, because none of the positive numbers 2k-3414543306441 is a prime.

It is a super-2 number, since 2×34145433064412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3414543306393 and 3414543306402.

It is not an unprimeable number, because it can be changed into a prime (3414543306431) 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 15 ways as a sum of consecutive naturals, for example, 1432806 + ... + 2980271.

It is an arithmetic number, because the mean of its divisors is an integer number (285746800500).

Almost surely, 23414543306441 is an apocalyptic number.

It is an amenable number.

3414543306441 is a deficient number, since it is larger than the sum of its proper divisors (1157405501559).

3414543306441 is a wasteful number, since it uses less digits than its factorization.

3414543306441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414168.

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 3414543306441 in words is "three trillion, four hundred fourteen billion, five hundred forty-three million, three hundred six thousand, four hundred forty-one".

Divisors: 1 3 349 739 1047 2217 257911 773733 4413077 13239231 1540163873 3261263903 4620491619 9783791709 1138181102147 3414543306441