Search a number
-
+
13306152314 = 271317191511499
BaseRepresentation
bin11000110010001101…
…11100010101111010
31021100022212120111002
430121012330111322
5204222333333224
610040205005002
7650511266660
oct143106742572
937308776432
1013306152314
115708a811a4
1226b4253762
131340944c10
149032a0c30
1552d2789ae
hex3191bc57a

13306152314 has 128 divisors (see below), whose sum is σ = 27578880000. Its totient is φ = 4659379200.

The previous prime is 13306152311. The next prime is 13306152323. The reversal of 13306152314 is 41325160331.

It is not an unprimeable number, because it can be changed into a prime (13306152311) 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, 8875937 + ... + 8877435.

It is an arithmetic number, because the mean of its divisors is an integer number (215460000).

Almost surely, 213306152314 is an apocalyptic number.

13306152314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13306152314 is an abundant number, since it is smaller than the sum of its proper divisors (14272727686).

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

13306152314 is a wasteful number, since it uses less digits than its factorization.

13306152314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708.

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 13306152314 in words is "thirteen billion, three hundred six million, one hundred fifty-two thousand, three hundred fourteen".

Divisors: 1 2 7 13 14 17 19 26 34 38 91 119 133 151 182 221 238 247 266 302 323 442 494 646 1057 1499 1547 1729 1963 2114 2261 2567 2869 2998 3094 3458 3926 4199 4522 5134 5738 8398 10493 13741 17969 19487 20083 20986 25483 27482 28481 29393 33371 35938 37297 38974 40166 48773 50966 56962 58786 66742 74594 97546 136409 178381 199367 226349 233597 261079 272818 331279 341411 356762 370253 398734 452698 467194 484177 522158 634049 662558 682822 740506 968354 1268098 1584443 2318953 2591771 2942537 3168886 3389239 3847933 4300631 4438343 4637906 5183542 5885074 6294301 6778478 7695866 8601262 8876686 12588602 20597759 26935531 30104417 41195518 44060107 50023129 53871062 55908203 60208834 73110727 88120214 100046258 111816406 146221454 350161903 391357421 511775089 700323806 782714842 950439451 1023550178 1900878902 6653076157 13306152314