Search a number
-
+
13334431014 = 2322953796101
BaseRepresentation
bin11000110101100101…
…10100010100100110
31021102022002021120100
430122302310110212
5204302103243024
610043055044530
7651303536112
oct143262642446
937368067510
1013334431014
115722a36423
122701810746
131346766588
14906d42742
155309b27c9
hex31acb4526

13334431014 has 96 divisors (see below), whose sum is σ = 30841948800. Its totient is φ = 4156588800.

The previous prime is 13334431007. The next prime is 13334431037. The reversal of 13334431014 is 41013443331.

13334431014 is a `hidden beast` number, since 1 + 3 + 3 + 344 + 310 + 1 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2182564 + ... + 2188664.

It is an arithmetic number, because the mean of its divisors is an integer number (321270300).

Almost surely, 213334431014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13334431014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420974400).

13334431014 is an abundant number, since it is smaller than the sum of its proper divisors (17507517786).

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

13334431014 is a wasteful number, since it uses less digits than its factorization.

13334431014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6270 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13334431014 its reverse (41013443331), we get a palindrome (54347874345).

The spelling of 13334431014 in words is "thirteen billion, three hundred thirty-four million, four hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 29 53 58 79 87 106 158 159 174 237 261 318 474 477 522 711 954 1422 1537 2291 3074 4187 4582 4611 6101 6873 8374 9222 12202 12561 13746 13833 18303 20619 25122 27666 36606 37683 41238 54909 75366 109818 121423 176929 242846 323353 353858 364269 481979 530787 646706 728538 963958 970059 1061574 1092807 1445937 1592361 1940118 2185614 2891874 2910177 3184722 4337811 5820354 8675622 9377237 13977391 18754474 25544887 27954782 28131711 41932173 51089774 56263422 76634661 83864346 84395133 125796519 153269322 168790266 229903983 251593038 459807966 740801723 1481603446 2222405169 4444810338 6667215507 13334431014