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13346142228 = 223519371143
BaseRepresentation
bin11000110110111110…
…11111100000010100
31021110010010021100000
430123133133200110
5204313103022403
610044154051300
7651505223436
oct143337374024
937403107300
1013346142228
115729605211
122705719b30
131349006ca3
14908710656
15531a277a3
hex31b7df814

13346142228 has 72 divisors (see below), whose sum is σ = 35167332928. Its totient is φ = 4425601536.

The previous prime is 13346142223. The next prime is 13346142283. The reversal of 13346142228 is 82224164331.

13346142228 is a `hidden beast` number, since 1 + 3 + 34 + 614 + 2 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13346142192 and 13346142201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13346142223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152025 + ... + 223167.

Almost surely, 213346142228 is an apocalyptic number.

13346142228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13346142228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583666464).

13346142228 is an abundant number, since it is smaller than the sum of its proper divisors (21821190700).

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

13346142228 is a wasteful number, since it uses less digits than its factorization.

13346142228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71355 (or 71341 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 13346142228 in words is "thirteen billion, three hundred forty-six million, one hundred forty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 193 243 324 386 486 579 772 972 1158 1737 2316 3474 5211 6948 10422 15633 20844 31266 46899 62532 71143 93798 142286 187596 213429 284572 426858 640287 853716 1280574 1920861 2561148 3841722 5762583 7683444 11525166 13730599 17287749 23050332 27461198 34575498 41191797 54922396 69150996 82383594 123575391 164767188 247150782 370726173 494301564 741452346 1112178519 1482904692 2224357038 3336535557 4448714076 6673071114 13346142228