Search a number
-
+
14443728660 = 22325409196193
BaseRepresentation
bin11010111001110100…
…11100111100010100
31101021121102102212100
431130322130330110
5214040043304120
610345123122100
71020633445044
oct153472347424
941247372770
1014443728660
116142121139
122971213330
13149252120a
149b03c1724
15598083490
hex35ce9cf14

14443728660 has 72 divisors (see below), whose sum is σ = 43919988840. Its totient is φ = 3842224128.

The previous prime is 14443728659. The next prime is 14443728671. The reversal of 14443728660 is 6682734441.

14443728660 is a `hidden beast` number, since 1 + 4 + 443 + 72 + 86 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1830641796 + 12613086864 = 42786^2 + 112308^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24477 + ... + 171716.

It is an arithmetic number, because the mean of its divisors is an integer number (609999845).

Almost surely, 214443728660 is an apocalyptic number.

14443728660 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 14443728660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21959994420).

14443728660 is an abundant number, since it is smaller than the sum of its proper divisors (29476260180).

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

14443728660 is a wasteful number, since it uses less digits than its factorization.

14443728660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196617 (or 196612 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 14443728660 in words is "fourteen billion, four hundred forty-three million, seven hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 409 818 1227 1636 2045 2454 3681 4090 4908 6135 7362 8180 12270 14724 18405 24540 36810 73620 196193 392386 588579 784772 980965 1177158 1765737 1961930 2354316 2942895 3531474 3923860 5885790 7062948 8828685 11771580 17657370 35314740 80242937 160485874 240728811 320971748 401214685 481457622 722186433 802429370 962915244 1203644055 1444372866 1604858740 2407288110 2888745732 3610932165 4814576220 7221864330 14443728660