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11321404240 = 245787179819
BaseRepresentation
bin10101000101100111…
…01110101101010000
31002020000012220222011
422202303232231100
5141141234413430
65111224552304
7550361230306
oct124263565520
932200186864
1011321404240
11488a701633
12223b622694
1310b56aaa83
14795856276
15463dca22a
hex2a2ceeb50

11321404240 has 40 divisors (see below), whose sum is σ = 26355857760. Its totient is φ = 4522782336.

The previous prime is 11321404231. The next prime is 11321404243. The reversal of 11321404240 is 4240412311.

It is a happy number.

11321404240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×113214042403 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321404243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26950 + ... + 152869.

It is an arithmetic number, because the mean of its divisors is an integer number (658896444).

Almost surely, 211321404240 is an apocalyptic number.

11321404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11321404240 is an abundant number, since it is smaller than the sum of its proper divisors (15034453520).

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

11321404240 is a wasteful number, since it uses less digits than its factorization.

11321404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180619 (or 180613 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11321404240 its reverse (4240412311), we get a palindrome (15561816551).

The spelling of 11321404240 in words is "eleven billion, three hundred twenty-one million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 787 1574 3148 3935 6296 7870 12592 15740 31480 62960 179819 359638 719276 899095 1438552 1798190 2877104 3596380 7192760 14385520 141517553 283035106 566070212 707587765 1132140424 1415175530 2264280848 2830351060 5660702120 11321404240