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11130024444 = 223721110915787
BaseRepresentation
bin10100101110110011…
…01011000111111100
31001201200002211020120
422113121223013330
5140243241240234
65040231014540
7542545434600
oct122731530774
931650084216
1011130024444
1147a1677110
1221a750a450
131084b512a6
14778279500
154521c5049
hex29766b1fc

11130024444 has 144 divisors (see below), whose sum is σ = 33260895360. Its totient is φ = 2864211840.

The previous prime is 11130024439. The next prime is 11130024467. The reversal of 11130024444 is 44442003111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697119 + ... + 712905.

It is an arithmetic number, because the mean of its divisors is an integer number (230978440).

Almost surely, 211130024444 is an apocalyptic number.

11130024444 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 11130024444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16630447680).

11130024444 is an abundant number, since it is smaller than the sum of its proper divisors (22130870916).

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

11130024444 is a wasteful number, since it uses less digits than its factorization.

11130024444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15928 (or 15919 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11130024444 its reverse (44442003111), we get a palindrome (55572027555).

The spelling of 11130024444 in words is "eleven billion, one hundred thirty million, twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 109 132 147 154 196 218 231 294 308 327 436 462 539 588 654 763 924 1078 1199 1308 1526 1617 2156 2289 2398 3052 3234 3597 4578 4796 5341 6468 7194 8393 9156 10682 14388 15787 16023 16786 21364 25179 31574 32046 33572 47361 50358 58751 63148 64092 94722 100716 110509 117502 173657 176253 189444 221018 235004 331527 347314 352506 442036 520971 663054 694628 705012 773563 1041942 1215599 1326108 1547126 1720783 2083884 2320689 2431198 3094252 3441566 3646797 4641378 4862396 5162349 6883132 7293594 8509193 9282756 10324698 12045481 14587188 17018386 18928613 20649396 24090962 25527579 34036772 36136443 37857226 48181924 51055158 56785839 72272886 75714452 84318367 102110316 113571678 132500291 144545772 168636734 227143356 252955101 265000582 337273468 397500873 505910202 530001164 795001746 927502037 1011820404 1590003492 1855004074 2782506111 3710008148 5565012222 11130024444