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11121464440 = 2353710770229
BaseRepresentation
bin10100101101110010…
…00001010001111000
31001201001222221010101
422112321001101320
5140234043330230
65035323325144
7542412613402
oct122671012170
931631887111
1011121464440
11479785a929
1221a46807b4
131083144cb8
1477708bb72
15451583aca
hex296e41478

11121464440 has 64 divisors (see below), whose sum is σ = 25940152800. Its totient is φ = 4287840768.

The previous prime is 11121464339. The next prime is 11121464467. The reversal of 11121464440 is 4446412111.

It is a junction number, because it is equal to n+sod(n) for n = 11121464399 and 11121464408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123246 + ... + 193474.

Almost surely, 211121464440 is an apocalyptic number.

11121464440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121464440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970076400).

11121464440 is an abundant number, since it is smaller than the sum of its proper divisors (14818688360).

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

11121464440 is a wasteful number, since it uses less digits than its factorization.

11121464440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70384 (or 70380 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 11121464440 its reverse (4446412111), we get a palindrome (15567876551).

The spelling of 11121464440 in words is "eleven billion, one hundred twenty-one million, four hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 107 148 185 214 296 370 428 535 740 856 1070 1480 2140 3959 4280 7918 15836 19795 31672 39590 70229 79180 140458 158360 280916 351145 561832 702290 1404580 2598473 2809160 5196946 7514503 10393892 12992365 15029006 20787784 25984730 30058012 37572515 51969460 60116024 75145030 103938920 150290060 278036611 300580120 556073222 1112146444 1390183055 2224292888 2780366110 5560732220 11121464440