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311114334344 = 2311101226915427
BaseRepresentation
bin1001000011011111101…
…11000000000010001000
31002202001002111201012212
410201233313000002020
520044130232144334
6354531323524252
731322463131432
oct4415767000210
91082032451185
10311114334344
1110aa40a27190
1250367689688
13234516483c8
14110b5295652
15815d2d4ece
hex486fdc0088

311114334344 has 64 divisors (see below), whose sum is σ = 642995841600. Its totient is φ = 139944672000.

The previous prime is 311114334341. The next prime is 311114334359. The reversal of 311114334344 is 443433411113.

It is a self number, because there is not a number n which added to its sum of digits gives 311114334344.

It is not an unprimeable number, because it can be changed into a prime (311114334341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20159159 + ... + 20174585.

It is an arithmetic number, because the mean of its divisors is an integer number (10046810025).

Almost surely, 2311114334344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311114334344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321497920800).

311114334344 is an abundant number, since it is smaller than the sum of its proper divisors (331881507256).

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

311114334344 is a wasteful number, since it uses less digits than its factorization.

311114334344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17814 (or 17810 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 311114334344 its reverse (443433411113), we get a palindrome (754547745457).

The spelling of 311114334344 in words is "three hundred eleven billion, one hundred fourteen million, three hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 2269 4444 4538 8888 9076 15427 18152 24959 30854 49918 61708 99836 123416 169697 199672 229169 339394 458338 678788 916676 1357576 1558127 1833352 2520859 3116254 5041718 6232508 10083436 12465016 17139397 20166872 34278794 35003863 68557588 70007726 137115176 140015452 280030904 385042493 770084986 1540169972 3080339944 3535390163 7070780326 14141560652 28283121304 38889291793 77778583586 155557167172 311114334344