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312041334240141 = 311431327571656427
BaseRepresentation
bin100011011110011001100100…
…0111000011111001110001101
31111220211212020002200122112120
41012330303020320133032031
5311344441123031141031
63023353450542323153
7122504146103652252
oct10674631070371615
91456755202618476
10312041334240141
1190475a94306770
122abb784b5894b9
13105164aa40cb5c
14570ac49c97429
152611da046ba96
hex11bccc8e1f38d

312041334240141 has 32 divisors (see below), whose sum is σ = 464437392511488. Its totient is φ = 184716411647040.

The previous prime is 312041334240107. The next prime is 312041334240211. The reversal of 312041334240141 is 141042433140213.

It is a happy number.

It is not a de Polignac number, because 312041334240141 - 227 = 312041200022413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312041334240241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187553970 + ... + 189210396.

It is an arithmetic number, because the mean of its divisors is an integer number (14513668515984).

Almost surely, 2312041334240141 is an apocalyptic number.

It is an amenable number.

312041334240141 is a deficient number, since it is larger than the sum of its proper divisors (152396058271347).

312041334240141 is a wasteful number, since it uses less digits than its factorization.

312041334240141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789241.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 312041334240141 its reverse (141042433140213), we get a palindrome (453083767380354).

The spelling of 312041334240141 in words is "three hundred twelve trillion, forty-one billion, three hundred thirty-four million, two hundred forty thousand, one hundred forty-one".

Divisors: 1 3 11 33 43 129 473 1419 132757 398271 1460327 1656427 4380981 4969281 5708551 17125653 18220697 54662091 62794061 71226361 188382183 213679083 783489971 2350469913 219902279239 659706837717 2418925071629 7256775214887 9455798007277 28367394021831 104013778080047 312041334240141