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41413122211014 = 23219183166133807
BaseRepresentation
bin10010110101010001111100…
…11100000011110011000110
312102122001111200200012020200
421122220332130003303012
520412003033241223024
6224024531541311330
711502666526461531
oct1132507634036306
9172561450605220
1041413122211014
111221722a939754
12478a182a05546
131a15318992728
14a32597783a18
154bc3b4dbe2c9
hex25aa3e703cc6

41413122211014 has 48 divisors (see below), whose sum is σ = 94502566279680. Its totient is φ = 13070685417840.

The previous prime is 41413122210991. The next prime is 41413122211079. The reversal of 41413122211014 is 41011222131414.

41413122211014 is a `hidden beast` number, since 4 + 1 + 413 + 1 + 2 + 221 + 10 + 14 = 666.

41413122211014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 32440702 + ... + 33693105.

It is an arithmetic number, because the mean of its divisors is an integer number (1968803464160).

Almost surely, 241413122211014 is an apocalyptic number.

41413122211014 is an abundant number, since it is smaller than the sum of its proper divisors (53089444068666).

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

41413122211014 is a wasteful number, since it uses less digits than its factorization.

41413122211014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66135665 (or 66135662 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 41413122211014 its reverse (41011222131414), we get a palindrome (82424344342428).

The spelling of 41413122211014 in words is "forty-one trillion, four hundred thirteen billion, one hundred twenty-two million, two hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 1831 3662 5493 10986 16479 32958 34789 69578 104367 208734 313101 626202 66133807 132267614 198401421 396802842 595204263 1190408526 1256542333 2513084666 3769626999 7539253998 11308880997 22617761994 121091000617 242182001234 363273001851 726546003702 1089819005553 2179638011106 2300729011723 4601458023446 6902187035169 13804374070338 20706561105507 41413122211014