Search a number
-
+
14410341296 = 2413533833413
BaseRepresentation
bin11010110101110110…
…00101101110110000
31101012021121012000022
431122323011232300
5214003021410141
610341531343012
71020046610561
oct153273055660
941167535008
1014410341296
11612529777a
122961bb1a68
131488631490
149a9bb0168
1559518ab4b
hex35aec5bb0

14410341296 has 80 divisors (see below), whose sum is σ = 30724033536. Its totient is φ = 6506492928.

The previous prime is 14410341293. The next prime is 14410341311. The reversal of 14410341296 is 69214301441.

It is not an unprimeable number, because it can be changed into a prime (14410341293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4220486 + ... + 4223898.

Almost surely, 214410341296 is an apocalyptic number.

14410341296 is a gapful number since it is divisible by the number (16) 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 14410341296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15362016768).

14410341296 is an abundant number, since it is smaller than the sum of its proper divisors (16313692240).

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

14410341296 is a wasteful number, since it uses less digits than its factorization.

14410341296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 14410341296 in words is "fourteen billion, four hundred ten million, three hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 383 424 689 766 848 1378 1532 2756 3064 3413 4979 5512 6128 6826 9958 11024 13652 19916 20299 27304 39832 40598 44369 54608 79664 81196 88738 162392 177476 180889 263887 324784 354952 361778 527774 709904 723556 1055548 1307179 1447112 2111096 2351557 2614358 2894224 4222192 4703114 5228716 9406228 10457432 16993327 18812456 20914864 33986654 37624912 67973308 69280487 135946616 138560974 271893232 277121948 554243896 900646331 1108487792 1801292662 3602585324 7205170648 14410341296