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4112311341324 = 2232921732355389
BaseRepresentation
bin111011110101111000110…
…110110101000100001100
3112120010121001021222112110
4323311320312311010030
51014334003200410244
612425100355504020
7603050623442034
oct73657066650414
915503531258473
104112311341324
1113460265a971a
12564bb08b8010
1323aa3510ba14
141030734a48c4
1571e85e649b9
hex3bd78db510c

4112311341324 has 72 divisors (see below), whose sum is σ = 9995125729680. Its totient is φ = 1315851638528.

The previous prime is 4112311341319. The next prime is 4112311341367. The reversal of 4112311341324 is 4231431132114.

It is a super-2 number, since 2×41123113413242 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4112311341291 and 4112311341300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568222 + ... + 2923610.

It is an arithmetic number, because the mean of its divisors is an integer number (138821190690).

Almost surely, 24112311341324 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 4112311341324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997562864840).

4112311341324 is an abundant number, since it is smaller than the sum of its proper divisors (5882814388356).

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

4112311341324 is a wasteful number, since it uses less digits than its factorization.

4112311341324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355627 (or 2355596 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 4112311341324 its reverse (4231431132114), we get a palindrome (8343742473438).

The spelling of 4112311341324 in words is "four trillion, one hundred twelve billion, three hundred eleven million, three hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 173 174 346 348 519 692 841 1038 1682 2076 2523 3364 5017 5046 10034 10092 15051 20068 30102 60204 145493 290986 436479 581972 872958 1745916 2355389 4710778 7066167 9421556 14132334 28264668 68306281 136612562 204918843 273225124 407482297 409837686 814964594 819675372 1222446891 1629929188 1980882149 2444893782 3961764298 4889787564 5942646447 7923528596 11816986613 11885292894 23633973226 23770585788 35450959839 47267946452 70901919678 141803839356 342692611777 685385223554 1028077835331 1370770447108 2056155670662 4112311341324