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13142413323 = 3313711573359
BaseRepresentation
bin11000011110101100…
…10101000000001011
31020220220202202211000
430033112111000023
5203403424211243
610012035310043
7643452445554
oct141726250013
936826682730
1013142413323
115634605716
12266944b323
131315a45640
148c963b32b
1551dbd35d3
hex30f59500b

13142413323 has 64 divisors (see below), whose sum is σ = 21405081600. Its totient is φ = 7920581760.

The previous prime is 13142413301. The next prime is 13142413331. The reversal of 13142413323 is 32331424131.

It is a happy number.

13142413323 is a `hidden beast` number, since 1 + 314 + 24 + 1 + 3 + 323 = 666.

It is not a de Polignac number, because 13142413323 - 218 = 13142151179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13142413223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3910918 + ... + 3914276.

It is an arithmetic number, because the mean of its divisors is an integer number (334454400).

Almost surely, 213142413323 is an apocalyptic number.

13142413323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13142413323 is a deficient number, since it is larger than the sum of its proper divisors (8262668277).

13142413323 is a wasteful number, since it uses less digits than its factorization.

13142413323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3603 counting only the distinct ones).

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

Adding to 13142413323 its reverse (32331424131), we get a palindrome (45473837454).

The spelling of 13142413323 in words is "thirteen billion, one hundred forty-two million, four hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 9 13 27 39 71 117 157 213 351 471 639 923 1413 1917 2041 2769 3359 4239 6123 8307 10077 11147 18369 24921 30231 33441 43667 55107 90693 100323 131001 144911 238489 300969 393003 434733 527363 715467 1179009 1304199 1582089 2146401 3100357 3912597 4746267 6439203 6855719 9301071 14238801 20567157 27903213 37442773 61701471 83709639 112328319 185104413 336984957 486756049 1010954871 1460268147 4380804441 13142413323