Search a number
-
+
14044223520 = 2532531093137
BaseRepresentation
bin11010001010001100…
…11101100000100000
31100020202200110211200
431011012131200200
5212230310123040
610241332241200
71005012634035
oct150506354040
940222613750
1014044223520
115a57663aa8
12287b470200
13142a823c42
1497330938c
15572e6b630
hex34519d820

14044223520 has 144 divisors (see below), whose sum is σ = 47956610520. Its totient is φ = 3742728192.

The previous prime is 14044223509. The next prime is 14044223527. The reversal of 14044223520 is 2532244041.

14044223520 is a `hidden beast` number, since 1 + 404 + 4 + 2 + 235 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13086444816 + 957778704 = 114396^2 + 30948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (14044223527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4475392 + ... + 4478528.

Almost surely, 214044223520 is an apocalyptic number.

14044223520 is a gapful number since it is divisible by the number (10) 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 14044223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23978305260).

14044223520 is an abundant number, since it is smaller than the sum of its proper divisors (33912387000).

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

14044223520 is a wasteful number, since it uses less digits than its factorization.

14044223520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14044223520 its reverse (2532244041), we get a palindrome (16576467561).

The spelling of 14044223520 in words is "fourteen billion, forty-four million, two hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3109 3137 6218 6274 9327 9411 12436 12548 15545 15685 18654 18822 24872 25096 27981 28233 31090 31370 37308 37644 46635 47055 49744 50192 55962 56466 62180 62740 74616 75288 93270 94110 99488 100384 111924 112932 124360 125480 139905 141165 149232 150576 186540 188220 223848 225864 248720 250960 279810 282330 298464 301152 373080 376440 447696 451728 497440 501920 559620 564660 746160 752880 895392 903456 1119240 1129320 1492320 1505760 2238480 2258640 4476960 4517280 9752933 19505866 29258799 39011732 48764665 58517598 78023464 87776397 97529330 117035196 146293995 156046928 175552794 195058660 234070392 292587990 312093856 351105588 390117320 438881985 468140784 585175980 702211176 780234640 877763970 936281568 1170351960 1404422352 1560469280 1755527940 2340703920 2808844704 3511055880 4681407840 7022111760 14044223520