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11434404344 = 23111072395081
BaseRepresentation
bin10101010011000101…
…10010100111111000
31002111212211220222012
422221202302213320
5141404201414334
65130342545052
7553232555546
oct125142624770
932455756865
1011434404344
114938472250
122271438188
131102c2383c
147a686cd96
1546dc9b9ce
hex2a98b29f8

11434404344 has 64 divisors (see below), whose sum is σ = 23710579200. Its totient is φ = 5126329600.

The previous prime is 11434404341. The next prime is 11434404361. The reversal of 11434404344 is 44340443411.

11434404344 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 11434404344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434404341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2247884 + ... + 2252964.

It is an arithmetic number, because the mean of its divisors is an integer number (370477800).

Almost surely, 211434404344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11434404344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855289600).

11434404344 is an abundant number, since it is smaller than the sum of its proper divisors (12276174856).

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

11434404344 is a wasteful number, since it uses less digits than its factorization.

11434404344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 11434404344 its reverse (44340443411), we get a palindrome (55774847755).

The spelling of 11434404344 in words is "eleven billion, four hundred thirty-four million, four hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 107 214 239 428 478 856 956 1177 1912 2354 2629 4708 5081 5258 9416 10162 10516 20324 21032 25573 40648 51146 55891 102292 111782 204584 223564 281303 447128 543667 562606 1087334 1125212 1214359 2174668 2250424 2428718 4349336 4857436 5980337 9714872 11960674 13357949 23921348 26715898 47842696 53431796 106863592 129936413 259872826 519745652 1039491304 1429300543 2858601086 5717202172 11434404344