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14265565306014 = 23112432931559611
BaseRepresentation
bin1100111110010111010111…
…1100111101110010011110
31212111202220202220021122010
43033211311330331302132
53332211334204243024
650201302113132050
73001440002250201
oct317456574756236
955452822807563
1014265565306014
1145aaaa0792700
121724918b5a026
137c63109cb089
143746581b9938
1519b130494b29
hexcf975f3dc9e

14265565306014 has 96 divisors (see below), whose sum is σ = 32199524767872. Its totient is φ = 4207952548800.

The previous prime is 14265565306007. The next prime is 14265565306033. The reversal of 14265565306014 is 41060356556241.

It is a happy number.

It is a super-3 number, since 3×142655653060143 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8367069 + ... + 9926679.

It is an arithmetic number, because the mean of its divisors is an integer number (335411716332).

Almost surely, 214265565306014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14265565306014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099762383936).

14265565306014 is an abundant number, since it is smaller than the sum of its proper divisors (17933959461858).

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

14265565306014 is a wasteful number, since it uses less digits than its factorization.

14265565306014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559974 (or 1559963 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 14265565306014 in words is "fourteen trillion, two hundred sixty-five billion, five hundred sixty-five million, three hundred six thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 43 66 86 121 129 242 258 293 363 473 586 726 879 946 1419 1758 2838 3223 5203 6446 9669 10406 12599 15609 19338 25198 31218 35453 37797 70906 75594 106359 138589 212718 277178 415767 831534 1524479 1559611 3048958 3119222 4573437 4678833 9146874 9357666 17155721 34311442 51467163 67063273 102934326 134126546 188712931 201189819 377425862 402379638 456966023 566138793 737696003 913932046 1132277586 1370898069 1475392006 2213088009 2741796138 4426176018 5026626253 8114656033 10053252506 15079878759 16229312066 19649538989 24343968099 30159757518 39299077978 48687936198 55292888783 58948616967 110585777566 117897233934 165878666349 216144928879 331757332698 432289857758 648434786637 1296869573274 2377594217669 4755188435338 7132782653007 14265565306014