Search a number
-
+
1313435463405 = 351311359606783
BaseRepresentation
bin10011000111001110110…
…110101010111011101101
311122120012120112201011220
4103013032312222323231
5133004403434312110
62443214532133553
7163615104142542
oct23071666527355
94576176481156
101313435463405
1146703009475a
12192676a672b9
1396b197763a0
14477dbaaabc9
15242736e3370
hex131cedaaeed

1313435463405 has 32 divisors (see below), whose sum is σ = 2283178254336. Its totient is φ = 640892120064.

The previous prime is 1313435463359. The next prime is 1313435463409. The reversal of 1313435463405 is 5043645343131.

It is not a de Polignac number, because 1313435463405 - 217 = 1313435332333 is a prime.

It is a super-2 number, since 2×13134354634052 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313435463409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29781357 + ... + 29825426.

It is an arithmetic number, because the mean of its divisors is an integer number (71349320448).

Almost surely, 21313435463405 is an apocalyptic number.

1313435463405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1313435463405 is a deficient number, since it is larger than the sum of its proper divisors (969742790931).

1313435463405 is a wasteful number, since it uses less digits than its factorization.

1313435463405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59606917.

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 1313435463405 in words is "one trillion, three hundred thirteen billion, four hundred thirty-five million, four hundred sixty-three thousand, four hundred five".

Divisors: 1 3 5 13 15 39 65 113 195 339 565 1469 1695 4407 7345 22035 59606783 178820349 298033915 774888179 894101745 2324664537 3874440895 6735566479 11623322685 20206699437 33677832395 87562364227 101033497185 262687092681 437811821135 1313435463405