Search a number
-
+
13233134440 = 2351918196199
BaseRepresentation
bin11000101001100000…
…11001101101101000
31021011020110212210101
430110300121231220
5204100140300230
610025035555144
7645633533611
oct142460315550
937136425711
1013233134440
115680839849
1226938bbab4
13132b78a886
148d76d4c08
15526b53aca
hex314c19b68

13233134440 has 64 divisors (see below), whose sum is σ = 31515120000. Its totient is φ = 4986904320.

The previous prime is 13233134419. The next prime is 13233134477. The reversal of 13233134440 is 4443133231.

It is a super-2 number, since 2×132331344402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13233134399 and 13233134408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89461 + ... + 185659.

It is an arithmetic number, because the mean of its divisors is an integer number (492423750).

Almost surely, 213233134440 is an apocalyptic number.

13233134440 is a gapful number since it is divisible by the number (10) 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 13233134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757560000).

13233134440 is an abundant number, since it is smaller than the sum of its proper divisors (18281985560).

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

13233134440 is a wasteful number, since it uses less digits than its factorization.

13233134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96410 (or 96406 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13233134440 its reverse (4443133231), we get a palindrome (17676267671).

The spelling of 13233134440 in words is "thirteen billion, two hundred thirty-three million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 181 190 362 380 724 760 905 1448 1810 3439 3620 6878 7240 13756 17195 27512 34390 68780 96199 137560 192398 384796 480995 769592 961990 1827781 1923980 3655562 3847960 7311124 9138905 14622248 17412019 18277810 34824038 36555620 69648076 73111240 87060095 139296152 174120190 330828361 348240380 661656722 696480760 1323313444 1654141805 2646626888 3308283610 6616567220 13233134440