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11132400444 = 22311389216803
BaseRepresentation
bin10100101111000101…
…01111001100111100
31001201211120112111120
422113202233030330
5140244343303234
65040353550540
7542604561654
oct122742571474
931654515446
1011132400444
1147a2a4a250
1221a8275450
1310854a38c9
147786d7364
154524e4049
hex2978af33c

11132400444 has 48 divisors (see below), whose sum is σ = 28409996160. Its totient is φ = 3364767040.

The previous prime is 11132400437. The next prime is 11132400449. The reversal of 11132400444 is 44400423111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132400449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57054 + ... + 159749.

It is an arithmetic number, because the mean of its divisors is an integer number (591874920).

Almost surely, 211132400444 is an apocalyptic number.

It is an amenable number.

11132400444 is an abundant number, since it is smaller than the sum of its proper divisors (17277595716).

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

11132400444 is a wasteful number, since it uses less digits than its factorization.

11132400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217210 (or 217208 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11132400444 its reverse (44400423111), we get a palindrome (55532823555).

The spelling of 11132400444 in words is "eleven billion, one hundred thirty-two million, four hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 389 778 1167 1556 2334 4279 4668 8558 12837 17116 25674 51348 216803 433606 650409 867212 1300818 2384833 2601636 4769666 7154499 9539332 14308998 28617996 84336367 168672734 253009101 337345468 506018202 927700037 1012036404 1855400074 2783100111 3710800148 5566200222 11132400444