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13525144314 = 23111182717327
BaseRepresentation
bin11001001100010100…
…10101001011111010
31021220120221112000220
430212022111023322
5210144414104224
610114030440510
7656110554423
oct144612251372
937816845026
1013525144314
115810656120
122755663136
13137711b896
149243c864a
155425d5279
hex3262952fa

13525144314 has 32 divisors (see below), whose sum is σ = 29513604096. Its totient is φ = 4097945520.

The previous prime is 13525144313. The next prime is 13525144333. The reversal of 13525144314 is 41344152531.

13525144314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13525144313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771919 + ... + 789245.

It is an arithmetic number, because the mean of its divisors is an integer number (922300128).

Almost surely, 213525144314 is an apocalyptic number.

13525144314 is an abundant number, since it is smaller than the sum of its proper divisors (15988459782).

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

13525144314 is a wasteful number, since it uses less digits than its factorization.

13525144314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29170.

The product of its digits is 28800, while the sum is 33.

Adding to 13525144314 its reverse (41344152531), we get a palindrome (54869296845).

The spelling of 13525144314 in words is "thirteen billion, five hundred twenty-five million, one hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 11827 17327 23654 34654 35481 51981 70962 103962 130097 190597 260194 381194 390291 571791 780582 1143582 204926429 409852858 614779287 1229558574 2254190719 4508381438 6762572157 13525144314