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11424133003240 = 2351752553319681
BaseRepresentation
bin1010011000111110001101…
…1000111011011111101000
31111110010200110201122011001
42212033203120323133220
52444133111022100430
640144101345444344
72256236444214346
oct246174330733750
944403613648131
1011424133003240
113704a47287891
1213460a70406b4
1364b3a2789169
142b6d068b6996
1514c27bab73ca
hexa63e363b7e8

11424133003240 has 64 divisors (see below), whose sum is σ = 27216919881360. Its totient is φ = 4300754780160.

The previous prime is 11424133003237. The next prime is 11424133003247. The reversal of 11424133003240 is 4230033142411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5432339624644 + 5991793378596 = 2330738^2 + 2447814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11424133003199 and 11424133003208.

It is not an unprimeable number, because it can be changed into a prime (11424133003247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35576200 + ... + 35895880.

Almost surely, 211424133003240 is an apocalyptic number.

11424133003240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11424133003240 is an abundant number, since it is smaller than the sum of its proper divisors (15792786878120).

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

11424133003240 is a wasteful number, since it uses less digits than its factorization.

11424133003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372262 (or 372258 counting only the distinct ones).

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

Adding to 11424133003240 its reverse (4230033142411), we get a palindrome (15654166145651).

The spelling of 11424133003240 in words is "eleven trillion, four hundred twenty-four billion, one hundred thirty-three million, three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 52553 105106 210212 262765 319681 420424 525530 639362 893401 1051060 1278724 1598405 1786802 2102120 2557448 3196810 3573604 4467005 5434577 6393620 7147208 8934010 10869154 12787240 17868020 21738308 27172885 35736040 43476616 54345770 108691540 217383080 16800195593 33600391186 67200782372 84000977965 134401564744 168001955930 285603325081 336003911860 571206650162 672007823720 1142413300324 1428016625405 2284826600648 2856033250810 5712066501620 11424133003240