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11443313440 = 255135501593
BaseRepresentation
bin10101010100001001…
…10001101100100000
31002112111121112221201
422222010301230200
5141413442012230
65131301530544
7553401362566
oct125204615440
932474545851
1011443313440
1149424a7839
122274413a54
131104a229b0
147a7b0ba36
1546e95b5ca
hex2aa131b20

11443313440 has 48 divisors (see below), whose sum is σ = 29114435448. Its totient is φ = 4225222656.

The previous prime is 11443313419. The next prime is 11443313471. The reversal of 11443313440 is 4431334411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6970914064 + 4472399376 = 83492^2 + 66876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11443313399 and 11443313408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2748717 + ... + 2752876.

Almost surely, 211443313440 is an apocalyptic number.

11443313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11443313440 is an abundant number, since it is smaller than the sum of its proper divisors (17671122008).

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

11443313440 is a wasteful number, since it uses less digits than its factorization.

11443313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5501621 (or 5501613 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 11443313440 its reverse (4431334411), we get a palindrome (15874647851).

The spelling of 11443313440 in words is "eleven billion, four hundred forty-three million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5501593 11003186 22006372 27507965 44012744 55015930 71520709 88025488 110031860 143041418 176050976 220063720 286082836 357603545 440127440 572165672 715207090 880254880 1144331344 1430414180 2288662688 2860828360 5721656720 11443313440