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814344104380 = 2251979241112559
BaseRepresentation
bin10111101100110101011…
…00001110100110111100
32212211222001002202000211
423312122230032212330
5101320234042320010
61422034324202204
7112556130451222
oct13663254164674
92784861082024
10814344104380
112943a8020714
121119aa239364
135ba3b9590c1
142b5b3412b12
15162b274708a
hexbd9ab0e9bc

814344104380 has 96 divisors (see below), whose sum is σ = 1830495744000. Its totient is φ = 303420349440.

The previous prime is 814344104377. The next prime is 814344104419. The reversal of 814344104380 is 83401443418.

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 31 ways as a sum of consecutive naturals, for example, 7178541 + ... + 7291099.

It is an arithmetic number, because the mean of its divisors is an integer number (19067664000).

Almost surely, 2814344104380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814344104380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915247872000).

814344104380 is an abundant number, since it is smaller than the sum of its proper divisors (1016151639620).

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

814344104380 is a wasteful number, since it uses less digits than its factorization.

814344104380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112907 (or 112905 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

Adding to 814344104380 its reverse (83401443418), we get a palindrome (897745547798).

It can be divided in two parts, 81434 and 4104380, that added together give a palindrome (4185814).

The spelling of 814344104380 in words is "eight hundred fourteen billion, three hundred forty-four million, one hundred four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 158 190 241 316 380 395 482 790 964 1205 1501 1580 2410 3002 4579 4820 6004 7505 9158 15010 18316 19039 22895 30020 38078 45790 76156 91580 95195 112559 190390 225118 361741 380780 450236 562795 723482 1125590 1446964 1808705 2138621 2251180 3617410 4277242 7234820 8554484 8892161 10693105 17784322 21386210 27126719 35568644 42772420 44460805 54253438 88921610 108506876 135633595 168951059 177843220 271267190 337902118 515407661 542534380 675804236 844755295 1030815322 1689510590 2061630644 2143010801 2577038305 3379021180 4286021602 5154076610 8572043204 10308153220 10715054005 21430108010 40717205219 42860216020 81434410438 162868820876 203586026095 407172052190 814344104380