Search a number
-
+
21234043344 = 2431134498719
BaseRepresentation
bin10011110001101001…
…011100100111010000
32000210211121011110210
4103301221130213100
5321441403341334
613431011124120
71351125250623
oct236151344720
960724534423
1021234043344
119007078058
1241472a3640
13200525b5b7
141056157dba
1584427d5e9
hex4f1a5c9d0

21234043344 has 80 divisors (see below), whose sum is σ = 55469664000. Its totient is φ = 6998949888.

The previous prime is 21234043283. The next prime is 21234043357. The reversal of 21234043344 is 44334043212.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 2431017 + ... + 2439735.

It is an arithmetic number, because the mean of its divisors is an integer number (693370800).

Almost surely, 221234043344 is an apocalyptic number.

21234043344 is a gapful number since it is divisible by the number (24) 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 21234043344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27734832000).

21234043344 is an abundant number, since it is smaller than the sum of its proper divisors (34235620656).

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

21234043344 is a wasteful number, since it uses less digits than its factorization.

21234043344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9292 (or 9286 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 21234043344 its reverse (44334043212), we get a palindrome (65568086556).

The spelling of 21234043344 in words is "twenty-one billion, two hundred thirty-four million, forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 449 452 678 898 904 1347 1356 1796 1808 2694 2712 3592 5388 5424 7184 8719 10776 17438 21552 26157 34876 50737 52314 69752 101474 104628 139504 152211 202948 209256 304422 405896 418512 608844 811792 985247 1217688 1970494 2435376 2955741 3914831 3940988 5911482 7829662 7881976 11744493 11822964 15659324 15763952 23488986 23645928 31318648 46977972 47291856 62637296 93955944 187911888 442375903 884751806 1327127709 1769503612 2654255418 3539007224 5308510836 7078014448 10617021672 21234043344