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414305934343 = 7619587101207
BaseRepresentation
bin1100000011101101000…
…11101101110000000111
31110121101200201010120221
412001312203231300013
523241444304344333
6514155102005211
741634613223260
oct6016643556007
91417350633527
10414305934343
1114a784998634
1268366276807
13300b8445152
14160a4155967
15ab9c80dd2d
hex60768edc07

414305934343 has 16 divisors (see below), whose sum is σ = 481309622784. Its totient is φ = 349257857760.

The previous prime is 414305934319. The next prime is 414305934377. The reversal of 414305934343 is 343439503414.

It is not a de Polignac number, because 414305934343 - 221 = 414303837191 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414305934343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414305934643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4043046 + ... + 4144252.

It is an arithmetic number, because the mean of its divisors is an integer number (30081851424).

Almost surely, 2414305934343 is an apocalyptic number.

414305934343 is a deficient number, since it is larger than the sum of its proper divisors (67003688441).

414305934343 is a wasteful number, since it uses less digits than its factorization.

414305934343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110862.

The product of its (nonzero) digits is 933120, while the sum is 43.

The spelling of 414305934343 in words is "four hundred fourteen billion, three hundred five million, nine hundred thirty-four thousand, three hundred forty-three".

Divisors: 1 7 61 427 9587 67109 101207 584807 708449 4093649 6173627 43215389 970271509 6791900563 59186562049 414305934343