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11113224144140 = 22529732111243961
BaseRepresentation
bin1010000110110111111111…
…0001110000010100001100
31110100102011200212010222102
42201231333301300110030
52424034340340103030
635345202241534232
72224622024423036
oct241557761602414
943312150763872
1011113224144140
1135a5101343258
1212b5998344378
13627c84894251
142a5c50a2ac56
1514413186dc45
hexa1b7fc7050c

11113224144140 has 96 divisors (see below), whose sum is σ = 24589247578560. Its totient is φ = 4213143244800.

The previous prime is 11113224144131. The next prime is 11113224144149. The reversal of 11113224144140 is 4144142231111.

11113224144140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11113224144131) and next prime (11113224144149).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (11113224144149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8311760 + ... + 9555720.

It is an arithmetic number, because the mean of its divisors is an integer number (256137995610).

Almost surely, 211113224144140 is an apocalyptic number.

11113224144140 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 11113224144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294623789280).

11113224144140 is an abundant number, since it is smaller than the sum of its proper divisors (13476023434420).

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

11113224144140 is a wasteful number, since it uses less digits than its factorization.

11113224144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244283 (or 1244281 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 11113224144140 its reverse (4144142231111), we get a palindrome (15257366375251).

The spelling of 11113224144140 in words is "eleven trillion, one hundred thirteen billion, two hundred twenty-four million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 211 290 292 365 422 580 730 844 1055 1460 2110 2117 4220 4234 6119 8468 10585 12238 15403 21170 24476 30595 30806 42340 61190 61612 77015 122380 154030 308060 446687 893374 1243961 1786748 2233435 2487922 4466870 4975844 6219805 8933740 12439610 24879220 36074869 72149738 90809153 144299476 180374345 181618306 262475771 360748690 363236612 454045765 524951542 721497380 908091530 1049903084 1312378855 1816183060 2624757710 2633465437 5249515420 5266930874 7611797359 10533861748 13167327185 15223594718 19160731283 26334654370 30447189436 38058986795 38321462566 52669308740 76117973590 76642925132 95803656415 152235947180 191607312830 383214625660 555661207207 1111322414414 2222644828828 2778306036035 5556612072070 11113224144140