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311444334312 = 23373621128621
BaseRepresentation
bin1001000100000111000…
…01110110011011101000
31002202220002110110001220
410202003201312123220
520100314222144222
6355024152542040
731333611106446
oct4420341663350
91082802413056
10311444334312
111100a0231031
125043a0b1920
13234a4b1b167
1411107037b96
15817c26cb5c
hex48838766e8

311444334312 has 64 divisors (see below), whose sum is σ = 789431396160. Its totient is φ = 102372595200.

The previous prime is 311444334293. The next prime is 311444334359. The reversal of 311444334312 is 213433444113.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 10867362 + ... + 10895982.

It is an arithmetic number, because the mean of its divisors is an integer number (12334865565).

Almost surely, 2311444334312 is an apocalyptic number.

It is an amenable number.

311444334312 is an abundant number, since it is smaller than the sum of its proper divisors (477987061848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311444334312 is a wasteful number, since it uses less digits than its factorization.

311444334312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34914 (or 34910 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 311444334312 its reverse (213433444113), we get a palindrome (524877778425).

The spelling of 311444334312 in words is "three hundred eleven billion, four hundred forty-four million, three hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 6211 12422 18633 24844 28621 37266 49688 57242 74532 85863 114484 149064 171726 228968 343452 453403 686904 906806 1360209 1813612 2089333 2720418 3627224 4178666 5440836 6267999 8357332 10881672 12535998 16714664 25071996 50143992 177765031 355530062 533295093 711060124 1066590186 1422120248 2133180372 4266360744 12976847263 25953694526 38930541789 51907389052 77861083578 103814778104 155722167156 311444334312