Search a number
-
+
11040440404 = 2272343421947
BaseRepresentation
bin10100100100000111…
…11100000001010100
31001111102112111001011
422102003330001110
5140102323043104
65023310542004
7540410123620
oct122203740124
931442474034
1011040440404
11475604a314
122181507904
13106c416796
1476a3da180
154493cb904
hex2920fc054

11040440404 has 96 divisors (see below), whose sum is σ = 23657711616. Its totient is φ = 4405484160.

The previous prime is 11040440393. The next prime is 11040440417. The reversal of 11040440404 is 40404404011.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 11657859 + ... + 11658805.

It is an arithmetic number, because the mean of its divisors is an integer number (246434496).

Almost surely, 211040440404 is an apocalyptic number.

11040440404 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 11040440404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828855808).

11040440404 is an abundant number, since it is smaller than the sum of its proper divisors (12617271212).

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

11040440404 is a wasteful number, since it uses less digits than its factorization.

11040440404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 11040440404 its reverse (40404404011), we get a palindrome (51444844415).

The spelling of 11040440404 in words is "eleven billion, forty million, four hundred forty thousand, four hundred four".

Divisors: 1 2 4 7 14 23 28 43 46 86 92 161 172 301 322 421 602 644 842 947 989 1204 1684 1894 1978 2947 3788 3956 5894 6629 6923 9683 11788 13258 13846 18103 19366 21781 26516 27692 36206 38732 40721 43562 67781 72412 81442 87124 126721 135562 152467 162884 253442 271124 285047 304934 398687 416369 506884 570094 609868 797374 832738 936583 1140188 1594748 1665476 1873166 2790809 2914583 3746332 5581618 5829166 6556081 9169801 11163236 11658332 13112162 17143541 18339602 26224324 34287082 36679204 64188607 68574164 120004787 128377214 240009574 256754428 394301443 480019148 788602886 1577205772 2760110101 5520220202 11040440404