Search a number
-
+
11442389232 = 2432310995087
BaseRepresentation
bin10101010100000010…
…10000000011110000
31002112102212121011210
422222001100003300
5141413222423412
65131230040120
7553360463241
oct125201200360
932472777153
1011442389232
114941a2642a
122274049040
13110478b121
147a794acc8
1546e82783c
hex2aa0500f0

11442389232 has 80 divisors (see below), whose sum is σ = 31128007680. Its totient is φ = 3614789376.

The previous prime is 11442389197. The next prime is 11442389237. The reversal of 11442389232 is 23298324411.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442389237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72793 + ... + 167879.

It is an arithmetic number, because the mean of its divisors is an integer number (389100096).

Almost surely, 211442389232 is an apocalyptic number.

11442389232 is a gapful number since it is divisible by the number (12) 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 11442389232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15564003840).

11442389232 is an abundant number, since it is smaller than the sum of its proper divisors (19685618448).

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

11442389232 is a wasteful number, since it uses less digits than its factorization.

11442389232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95230 (or 95224 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The spelling of 11442389232 in words is "eleven billion, four hundred forty-two million, three hundred eighty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 109 138 184 218 276 327 368 436 552 654 872 1104 1308 1744 2507 2616 5014 5232 7521 10028 15042 20056 30084 40112 60168 95087 120336 190174 285261 380348 570522 760696 1141044 1521392 2187001 2282088 4374002 4564176 6561003 8748004 10364483 13122006 17496008 20728966 26244012 31093449 34992016 41457932 52488024 62186898 82915864 104976048 124373796 165831728 238383109 248747592 476766218 497495184 715149327 953532436 1430298654 1907064872 2860597308 3814129744 5721194616 11442389232