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11244421344 = 2531370112853
BaseRepresentation
bin10100111100011100…
…00100000011100000
31002000122100210021210
422132032010003200
5141012032440334
65055434550120
7545435001342
oct123616040340
932018323253
1011244421344
114850201202
122219898340
1310a2765a70
14789537292
1545c2705e9
hex29e3840e0

11244421344 has 96 divisors (see below), whose sum is σ = 31834936224. Its totient is φ = 3454617600.

The previous prime is 11244421273. The next prime is 11244421373. The reversal of 11244421344 is 44312444211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112444213442 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 868422 + ... + 881274.

It is an arithmetic number, because the mean of its divisors is an integer number (331613919).

Almost surely, 211244421344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11244421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15917468112).

11244421344 is an abundant number, since it is smaller than the sum of its proper divisors (20590514880).

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

11244421344 is a wasteful number, since it uses less digits than its factorization.

11244421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13580 (or 13572 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 11244421344 its reverse (44312444211), we get a palindrome (55556865555).

The spelling of 11244421344 in words is "eleven billion, two hundred forty-four million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 701 1248 1402 2103 2804 4206 5608 8412 9113 11216 12853 16824 18226 22432 25706 27339 33648 36452 38559 51412 54678 67296 72904 77118 102824 109356 145808 154236 167089 205648 218712 291616 308472 334178 411296 437424 501267 616944 668356 874848 1002534 1233888 1336712 2005068 2673424 4010136 5346848 8020272 9009953 16040544 18019906 27029859 36039812 54059718 72079624 108119436 117129389 144159248 216238872 234258778 288318496 351388167 432477744 468517556 702776334 864955488 937035112 1405552668 1874070224 2811105336 3748140448 5622210672 11244421344