Search a number
-
+
13411034340 = 22351129700681
BaseRepresentation
bin11000111110101110…
…00010010011100100
31021121122020010120120
430133113002103210
5204431211044330
610054433001540
7653223624324
oct143727022344
937548203516
1013411034340
1157621a7660
1227233b32b0
1313595a78a2
149131a3284
15537594c10
hex31f5c24e4

13411034340 has 96 divisors (see below), whose sum is σ = 42377247360. Its totient is φ = 3139046400.

The previous prime is 13411034339. The next prime is 13411034387. The reversal of 13411034340 is 4343011431.

13411034340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13411034340.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 331201 + ... + 369480.

It is an arithmetic number, because the mean of its divisors is an integer number (441429660).

Almost surely, 213411034340 is an apocalyptic number.

13411034340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13411034340 is an abundant number, since it is smaller than the sum of its proper divisors (28966213020).

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

13411034340 is a wasteful number, since it uses less digits than its factorization.

13411034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700733 (or 700731 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13411034340 its reverse (4343011431), we get a palindrome (17754045771).

The spelling of 13411034340 in words is "thirteen billion, four hundred eleven million, thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 19140 700681 1401362 2102043 2802724 3503405 4204086 7006810 7707491 8408172 10510215 14013620 15414982 20319749 21020430 23122473 30829964 38537455 40639498 42040860 46244946 60959247 77074910 81278996 92489892 101598745 115612365 121918494 154149820 203197490 223517239 231224730 243836988 304796235 406394980 447034478 462449460 609592470 670551717 894068956 1117586195 1219184940 1341103434 2235172390 2682206868 3352758585 4470344780 6705517170 13411034340