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11134240404 = 22372471013989
BaseRepresentation
bin10100101111010011…
…10000011010010100
31001201222001000110020
422113221300122110
5140300331143104
65040501225140
7542626324200
oct122751603224
931658030406
1011134240404
1147a3a96681
1221a8a021b0
131085999241
14778a55b00
154527592d9
hex297a70694

11134240404 has 144 divisors (see below), whose sum is σ = 31177923840. Its totient is φ = 3081926400.

The previous prime is 11134240339. The next prime is 11134240417. The reversal of 11134240404 is 40404243111.

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, 2789242 + ... + 2793230.

It is an arithmetic number, because the mean of its divisors is an integer number (216513360).

Almost surely, 211134240404 is an apocalyptic number.

11134240404 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 11134240404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15588961920).

11134240404 is an abundant number, since it is smaller than the sum of its proper divisors (20043683436).

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

11134240404 is a wasteful number, since it uses less digits than its factorization.

11134240404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4149 counting only the distinct ones).

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

Adding to 11134240404 its reverse (40404243111), we get a palindrome (51538483515).

The spelling of 11134240404 in words is "eleven billion, one hundred thirty-four million, two hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 101 141 147 188 196 202 282 294 303 329 404 564 588 606 658 707 987 1212 1316 1414 1974 2121 2303 2828 3948 3989 4242 4606 4747 4949 6909 7978 8484 9212 9494 9898 11967 13818 14241 14847 15956 18988 19796 23934 27636 27923 28482 29694 33229 47868 55846 56964 59388 66458 83769 99687 111692 132916 167538 187483 195461 199374 232603 335076 374966 390922 398748 402889 465206 562449 586383 697809 749932 781844 805778 930412 1124898 1172766 1208667 1312381 1395618 1611556 2249796 2345532 2417334 2624762 2791236 2820223 3937143 4834668 5249524 5640446 7874286 8460669 9186667 11280892 15748572 16921338 18373334 18935783 19741561 27560001 33842676 36746668 37871566 39483122 55120002 56807349 59224683 75743132 78966244 110240004 113614698 118449366 132550481 227229396 236898732 265100962 397651443 530201924 795302886 927853367 1590605772 1855706734 2783560101 3711413468 5567120202 11134240404