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11344011224 = 23713136711399
BaseRepresentation
bin10101001000010011…
…11101111111011000
31002021120202110220212
422210021331333120
5141213031324344
65113353310252
7551054335010
oct124411757730
932246673825
1011344011224
1148a1442597
122247105388
1310ba2949a0
1479885cc40
15465d9379e
hex2a427dfd8

11344011224 has 64 divisors (see below), whose sum is σ = 26199936000. Its totient is φ = 4484064384.

The previous prime is 11344011197. The next prime is 11344011233. The reversal of 11344011224 is 42211044311.

It is a self number, because there is not a number n which added to its sum of digits gives 11344011224.

It is a congruent number.

It is an unprimeable number.

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, 989477 + ... + 1000875.

It is an arithmetic number, because the mean of its divisors is an integer number (409374000).

Almost surely, 211344011224 is an apocalyptic number.

11344011224 is a gapful number since it is divisible by the number (14) 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 11344011224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13099968000).

11344011224 is an abundant number, since it is smaller than the sum of its proper divisors (14855924776).

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

11344011224 is a wasteful number, since it uses less digits than its factorization.

11344011224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12792 (or 12788 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11344011224 its reverse (42211044311), we get a palindrome (53555055535).

The spelling of 11344011224 in words is "eleven billion, three hundred forty-four million, eleven thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1367 2734 5468 9569 10936 11399 17771 19138 22798 35542 38276 45596 71084 76552 79793 91192 124397 142168 148187 159586 248794 296374 319172 497588 592748 638344 995176 1037309 1185496 2074618 4149236 8298472 15582433 31164866 62329732 109077031 124659464 202571629 218154062 405143258 436308124 810286516 872616248 1418001403 1620573032 2836002806 5672005612 11344011224