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312141404013441 = 31006110341629527
BaseRepresentation
bin100011011111001000001010…
…1100000011000001110000001
31111221012102112010121211202120
41012332100111200120032001
5311403111043411412231
63023511440441034453
7122514320656001412
oct10676202540301601
91457172463554676
10312141404013441
1190504476068552
122b013118785a29
1310522a6750bb72
145711a202bb809
1526147aa889d96
hex11be415818381

312141404013441 has 8 divisors (see below), whose sum is σ = 416229905242944. Its totient is φ = 208073586063120.

The previous prime is 312141404013419. The next prime is 312141404013473. The reversal of 312141404013441 is 144310404141213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312141404013441 - 214 = 312141403997057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312141404013941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5170784581 + ... + 5170844946.

It is an arithmetic number, because the mean of its divisors is an integer number (52028738155368).

Almost surely, 2312141404013441 is an apocalyptic number.

It is an amenable number.

312141404013441 is a deficient number, since it is larger than the sum of its proper divisors (104088501229503).

312141404013441 is a wasteful number, since it uses less digits than its factorization.

312141404013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341639591.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 312141404013441 its reverse (144310404141213), we get a palindrome (456451808154654).

The spelling of 312141404013441 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred four million, thirteen thousand, four hundred forty-one".

Divisors: 1 3 10061 30183 10341629527 31024888581 104047134671147 312141404013441