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41342466424314 = 23112223255361193
BaseRepresentation
bin10010110011001110010110…
…00001100111110111111010
312102101022010120100100010210
421121213023001213313322
520404323332401034224
6223532244502451550
711464615600264356
oct1131471301476772
9172338116310123
1041342466424314
111219a272556400
124778544433bb6
131a0b768719213
14a2cdb3a22466
154ba62be21429
hex2599cb067dfa

41342466424314 has 48 divisors (see below), whose sum is σ = 91292648299776. Its totient is φ = 12471840617280.

The previous prime is 41342466424313. The next prime is 41342466424331.

41342466424314 is nontrivially palindromic in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41342466424313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127518699 + ... + 127842494.

It is an arithmetic number, because the mean of its divisors is an integer number (1901930172912).

Almost surely, 241342466424314 is an apocalyptic number.

41342466424314 is an abundant number, since it is smaller than the sum of its proper divisors (49950181875462).

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

41342466424314 is a wasteful number, since it uses less digits than its factorization.

41342466424314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255361443 (or 255361432 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 41342466424314 in words is "forty-one trillion, three hundred forty-two billion, four hundred sixty-six million, four hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 223 242 363 446 669 726 1338 2453 4906 7359 14718 26983 53966 80949 161898 255361193 510722386 766083579 1532167158 2808973123 5617946246 8426919369 16853838738 30898704353 56945546039 61797408706 92696113059 113891092078 170836638117 185392226118 341673276234 626401006429 1252802012858 1879203019287 3758406038574 6890411070719 13780822141438 20671233212157 41342466424314