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11144224410 = 235113110710181
BaseRepresentation
bin10100110000011111…
…10101111010011010
31001202122211020221020
422120033311322122
5140310410140120
65041455223310
7543110226114
oct123017657232
931678736836
1011144224410
1147a9695820
1221b0217b36
131087a83737
1477a0d43b4
1545357c640
hex2983f5e9a

11144224410 has 128 divisors (see below), whose sum is σ = 30403289088. Its totient is φ = 2589792000.

The previous prime is 11144224393. The next prime is 11144224417. The reversal of 11144224410 is 1442244111.

It is not an unprimeable number, because it can be changed into a prime (11144224417) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1089520 + ... + 1099700.

It is an arithmetic number, because the mean of its divisors is an integer number (237525696).

Almost surely, 211144224410 is an apocalyptic number.

11144224410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144224410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201644544).

11144224410 is an abundant number, since it is smaller than the sum of its proper divisors (19259064678).

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

11144224410 is a wasteful number, since it uses less digits than its factorization.

11144224410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10340.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11144224410 its reverse (1442244111), we get a palindrome (12586468521).

It can be divided in two parts, 1 and 1144224410, that added together give a palindrome (1144224411).

The spelling of 11144224410 in words is "eleven billion, one hundred forty-four million, two hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 107 110 155 165 186 214 310 321 330 341 465 535 642 682 930 1023 1070 1177 1605 1705 2046 2354 3210 3317 3410 3531 5115 5885 6634 7062 9951 10181 10230 11770 16585 17655 19902 20362 30543 33170 35310 36487 49755 50905 61086 72974 99510 101810 109461 111991 152715 182435 218922 223982 305430 315611 335973 364870 547305 559955 631222 671946 946833 1089367 1094610 1119910 1578055 1679865 1893666 2178734 3156110 3268101 3359730 3471721 4734165 5446835 6536202 6943442 9468330 10415163 10893670 11983037 16340505 17358605 20830326 23966074 32681010 33770377 34717210 35949111 52075815 59915185 67540754 71898222 101311131 104151630 119830370 168851885 179745555 202622262 337703770 359491110 371474147 506555655 742948294 1013111310 1114422441 1857370735 2228844882 3714741470 5572112205 11144224410