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41312114343 = 36295873329
BaseRepresentation
bin100110011110011001…
…001101011010100111
310221122010000212000000
4212132121031122213
51134101400124333
630551205552343
72661516115023
oct463631153247
9127563025000
1041312114343
111657a67aa65
12800b4156b3
133b84b6c596
141ddc963383
15111bcbb713
hex99e64d6a7

41312114343 has 56 divisors (see below), whose sum is σ = 64204131600. Its totient is φ = 26538430464.

The previous prime is 41312114297. The next prime is 41312114351. The reversal of 41312114343 is 34341121314.

41312114343 is a `hidden beast` number, since 4 + 1 + 312 + 1 + 1 + 4 + 343 = 666.

It is not a de Polignac number, because 41312114343 - 26 = 41312114279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41312112343) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12408103 + ... + 12411431.

It is an arithmetic number, because the mean of its divisors is an integer number (1146502350).

Almost surely, 241312114343 is an apocalyptic number.

41312114343 is a deficient number, since it is larger than the sum of its proper divisors (22892017257).

41312114343 is an equidigital number, since it uses as much as digits as its factorization.

41312114343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3948 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 41312114343 its reverse (34341121314), we get a palindrome (75653235657).

The spelling of 41312114343 in words is "forty-one billion, three hundred twelve million, one hundred fourteen thousand, three hundred forty-three".

Divisors: 1 3 9 27 29 81 87 243 261 587 729 783 1761 2349 3329 5283 7047 9987 15849 17023 21141 29961 47547 51069 89883 96541 142641 153207 269649 289623 427923 459621 808947 868869 1378863 1954123 2426841 2606607 4136589 5862369 7819821 12409767 17587107 23459463 52761321 56669567 70378389 158283963 170008701 474851889 510026103 1424555667 1530078309 4590234927 13770704781 41312114343