Search a number
-
+
13343434104 = 23371113555421
BaseRepresentation
bin11000110110101010…
…01010010101111000
31021102221000200111010
430123111022111320
5204311404342404
610044020033520
7651443214150
oct143325122570
937387020433
1013343434104
1157280255a0
1227048328a0
131348599450
14908207760
15531690189
hex31b54a578

13343434104 has 128 divisors (see below), whose sum is σ = 44789230080. Its totient is φ = 3199219200.

The previous prime is 13343434099. The next prime is 13343434123. The reversal of 13343434104 is 40143434331.

13343434104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 253687 + ... + 301734.

It is an arithmetic number, because the mean of its divisors is an integer number (349915860).

Almost surely, 213343434104 is an apocalyptic number.

13343434104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13343434104 is an abundant number, since it is smaller than the sum of its proper divisors (31445795976).

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

13343434104 is a wasteful number, since it uses less digits than its factorization.

13343434104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555461 (or 555457 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13343434104 its reverse (40143434331), we get a palindrome (53486868435).

The spelling of 13343434104 in words is "thirteen billion, three hundred forty-three million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 555421 1110842 1666263 2221684 3332526 3887947 4443368 6109631 6665052 7220473 7775894 11663841 12219262 13330104 14440946 15551788 18328893 21661419 23327682 24438524 28881892 31103576 36657786 42767417 43322838 46655364 48877048 50543311 57763784 73315572 79425203 85534834 86645676 93310728 101086622 128302251 146631144 151629933 158850406 171069668 173291352 202173244 238275609 256604502 303259866 317700812 342139336 404346488 476551218 513209004 555976421 606519732 635401624 953102436 1026418008 1111952842 1213039464 1667929263 1906204872 2223905684 3335858526 4447811368 6671717052 13343434104