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11344044400 = 2452132181547
BaseRepresentation
bin10101001000010100…
…00110000101110000
31002021120211011102121
422210022012011300
5141213033410100
65113354124024
7551054533513
oct124412060560
932246734377
1011344044400
1148a1465507
122247120614
1310ba2a6b10
1479886ad7a
15465d9d51a
hex2a4286170

11344044400 has 60 divisors (see below), whose sum is σ = 29350546792. Its totient is φ = 4188568320.

The previous prime is 11344044379. The next prime is 11344044407. The reversal of 11344044400 is 444044311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344044407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1085574 + ... + 1095973.

Almost surely, 211344044400 is an apocalyptic number.

11344044400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11344044400 is an abundant number, since it is smaller than the sum of its proper divisors (18006502392).

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

11344044400 is a wasteful number, since it uses less digits than its factorization.

11344044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181578 (or 2181567 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 11344044400 its reverse (444044311), we get a palindrome (11788088711).

The spelling of 11344044400 in words is "eleven billion, three hundred forty-four million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 2181547 4363094 8726188 10907735 17452376 21815470 28360111 34904752 43630940 54538675 56720222 87261880 109077350 113440444 141800555 174523760 218154700 226880888 283601110 436309400 453761776 567202220 709002775 872618800 1134404440 1418005550 2268808880 2836011100 5672022200 11344044400