Search a number
-
+
11324421144 = 2332255761511
BaseRepresentation
bin10101000101111110…
…01111010000011000
31002020012220012101100
422202333033100120
5141143022434034
65111413351400
7550425664041
oct124277172030
932205805340
1011324421144
114891382243
122240638560
1310b61c601a
14795ddd8c8
154642c4099
hex2a2fcf418

11324421144 has 48 divisors (see below), whose sum is σ = 30682800720. Its totient is φ = 3773269440.

The previous prime is 11324421127. The next prime is 11324421193. The reversal of 11324421144 is 44112442311.

11324421144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 153349 + ... + 214859.

It is an arithmetic number, because the mean of its divisors is an integer number (639225015).

Almost surely, 211324421144 is an apocalyptic number.

It is an amenable number.

11324421144 is an abundant number, since it is smaller than the sum of its proper divisors (19358379576).

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

11324421144 is a wasteful number, since it uses less digits than its factorization.

11324421144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64080 (or 64073 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 11324421144 its reverse (44112442311), we get a palindrome (55436863455).

The spelling of 11324421144 in words is "eleven billion, three hundred twenty-four million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2557 5114 7671 10228 15342 20456 23013 30684 46026 61368 61511 92052 123022 184104 184533 246044 369066 492088 553599 738132 1107198 1476264 2214396 4428792 157283627 314567254 471850881 629134508 943701762 1258269016 1415552643 1887403524 2831105286 3774807048 5662210572 11324421144