Search a number
-
+
144241044556 = 227191313176529
BaseRepresentation
bin1000011001010101101…
…1111010110001001100
3111210022101222021011111
42012111123322301030
54330401201411211
6150132522101404
713264266435460
oct2062533726114
9453271867144
10144241044556
1156199344744
1223b5604a864
13107a940bb0b
146da49aa4a0
153b4320c421
hex21956fac4c

144241044556 has 96 divisors (see below), whose sum is σ = 306995673600. Its totient is φ = 57924771840.

The previous prime is 144241044547. The next prime is 144241044589. The reversal of 144241044556 is 655440142441.

144241044556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 22089100 + ... + 22095628.

It is an arithmetic number, because the mean of its divisors is an integer number (3197871600).

Almost surely, 2144241044556 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 144241044556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153497836800).

144241044556 is an abundant number, since it is smaller than the sum of its proper divisors (162754629044).

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

144241044556 is a wasteful number, since it uses less digits than its factorization.

144241044556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 144241044556 its reverse (655440142441), we get a palindrome (799681186997).

The spelling of 144241044556 in words is "one hundred forty-four billion, two hundred forty-one million, forty-four thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 76 131 133 262 266 317 524 532 634 917 1268 1834 2219 2489 3668 4438 4978 6023 6529 8876 9956 12046 13058 17423 24092 26116 34846 41527 42161 45703 69692 83054 84322 91406 124051 166108 168644 182812 248102 290689 496204 581378 789013 855299 868357 1162756 1578026 1710598 1736714 2069693 3156052 3421196 3473428 4139386 5523091 5987093 8278772 11046182 11974186 14487851 16250681 22092364 23948372 28975702 32501362 39324167 57951404 65002724 78648334 113754767 157296668 227509534 271129783 275269169 455019068 542259566 550538338 1084519132 1101076676 1897908481 3795816962 5151465877 7591633924 10302931754 20605863508 36060261139 72120522278 144241044556