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412140041214 = 23116869909091
BaseRepresentation
bin1011111111101010111…
…01011111001111111110
31110101210202012100202220
411333311131133033332
523223030322304324
6513200131230210
741530133356116
oct5776535371776
91411722170686
10412140041214
11149873344010
1267a60a48366
132cb317c5b95
1415d3a636046
15aac25ccb79
hex5ff575f3fe

412140041214 has 32 divisors (see below), whose sum is σ = 899346533760. Its totient is φ = 124872602400.

The previous prime is 412140041171. The next prime is 412140041219.

412140041214 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412140041219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192 + ... + 907899.

It is an arithmetic number, because the mean of its divisors is an integer number (28104579180).

Almost surely, 2412140041214 is an apocalyptic number.

412140041214 is an abundant number, since it is smaller than the sum of its proper divisors (487206492546).

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

412140041214 is a wasteful number, since it uses less digits than its factorization.

412140041214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915976.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4121400 and 41214, that multiplied together give a square (169859379600 = 4121402).

The spelling of 412140041214 in words is "four hundred twelve billion, one hundred forty million, forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 6869 13738 20607 41214 75559 151118 226677 453354 909091 1818182 2727273 5454546 10000001 20000002 30000003 60000006 6244546079 12489092158 18733638237 37467276474 68690006869 137380013738 206070020607 412140041214