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41124322342114 = 21119318338236901
BaseRepresentation
bin10010101100111000000001…
…00111111111010011100010
312101121110001201202202222221
421112130000213333103202
520342240103004421424
6223244130342021254
711443064021213464
oct1126340047772342
9171543051682887
1041124322342114
11121157aa942750
12474220441782a
1319c401239033b
14a225dbd2a134
154b4b10b329e4
hex2567009ff4e2

41124322342114 has 64 divisors (see below), whose sum is σ = 74002170654720. Its totient is φ = 16931299320000.

The previous prime is 41124322342111. The next prime is 41124322342153.

41124322342114 is nontrivially palindromic in base 10.

41124322342114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41124322342114.

It is not an unprimeable number, because it can be changed into a prime (41124322342111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18042937 + ... + 20193964.

It is an arithmetic number, because the mean of its divisors is an integer number (1156283916480).

Almost surely, 241124322342114 is an apocalyptic number.

41124322342114 is a deficient number, since it is larger than the sum of its proper divisors (32877848312606).

41124322342114 is a wasteful number, since it uses less digits than its factorization.

41124322342114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38237047.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 4112432 and 2342114, that added together give a palindrome (6454546).

The spelling of 41124322342114 in words is "forty-one trillion, one hundred twenty-four billion, three hundred twenty-two million, three hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 11 19 22 31 38 62 83 166 209 341 418 589 682 913 1178 1577 1826 2573 3154 5146 6479 12958 17347 28303 34694 48887 56606 97774 537757 1075514 38236901 76473802 420605911 726501119 841211822 1185343931 1453002238 2370687862 3173662783 6347325566 7991512309 13038783241 15983024618 22521534689 26077566482 34910290613 45043069378 60299592877 69820581226 98383546273 120599185754 196767092546 247736881579 495473763158 663295521647 1082219009003 1326591043294 1869287379187 2164438018006 3738574758374 20562161171057 41124322342114