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4314320541117 = 365918135173
BaseRepresentation
bin111110110010000001100…
…010110001010110111101
3120021110000102020121000000
4332302001202301112331
51031141212024303432
613101545502024513
7623461612345266
oct76620142612675
916243012217000
104314320541117
111413769520414
12598189278139
13253ab97767c2
1410cb5835796d
157735a9b757c
hex3ec818b15bd

4314320541117 has 14 divisors (see below), whose sum is σ = 6468521745182. Its totient is φ = 2876213693592.

The previous prime is 4314320541049. The next prime is 4314320541119. The reversal of 4314320541117 is 7111450234134.

4314320541117 is a `hidden beast` number, since 4 + 31 + 4 + 3 + 205 + 411 + 1 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4233672492921 + 80648048196 = 2057589^2 + 283986^2 .

It is not a de Polignac number, because 4314320541117 - 215 = 4314320508349 is a prime.

It is a super-2 number, since 2×43143205411172 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314320541119) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2959066858 + ... + 2959068315.

It is an arithmetic number, because the mean of its divisors is an integer number (462037267513).

Almost surely, 24314320541117 is an apocalyptic number.

It is an amenable number.

4314320541117 is a deficient number, since it is larger than the sum of its proper divisors (2154201204065).

4314320541117 is an frugal number, since it uses more digits than its factorization.

4314320541117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918135191 (or 5918135176 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 4314320541117 in words is "four trillion, three hundred fourteen billion, three hundred twenty million, five hundred forty-one thousand, one hundred seventeen".

Divisors: 1 3 9 27 81 243 729 5918135173 17754405519 53263216557 159789649671 479368949013 1438106847039 4314320541117