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11103444040 = 23513112918913
BaseRepresentation
bin10100101011101000…
…10001110001001000
31001122211002101210011
422111310101301020
5140214440202130
65033441201304
7542103500653
oct122564216110
931584071704
1011103444040
114788671937
12219a630234
13107c4a5940
1477491a89a
1544ebc452a
hex295d11c48

11103444040 has 64 divisors (see below), whose sum is σ = 26929753200. Its totient is φ = 4095885312.

The previous prime is 11103444019. The next prime is 11103444043. The reversal of 11103444040 is 4044430111.

It can be written as a sum of positive squares in 8 ways, for example, as 3330905796 + 7772538244 = 57714^2 + 88162^2 .

It is not an unprimeable number, because it can be changed into a prime (11103444043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577624 + ... + 596536.

Almost surely, 211103444040 is an apocalyptic number.

11103444040 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 11103444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464876600).

11103444040 is an abundant number, since it is smaller than the sum of its proper divisors (15826309160).

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

11103444040 is a wasteful number, since it uses less digits than its factorization.

11103444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20066 (or 20062 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11103444040 its reverse (4044430111), we get a palindrome (15147874151).

The spelling of 11103444040 in words is "eleven billion, one hundred three million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1129 2258 4516 5645 9032 11290 14677 18913 22580 29354 37826 45160 58708 73385 75652 94565 117416 146770 151304 189130 245869 293540 378260 491738 587080 756520 983476 1229345 1966952 2458690 4917380 9834760 21352777 42705554 85411108 106763885 170822216 213527770 277586101 427055540 555172202 854111080 1110344404 1387930505 2220688808 2775861010 5551722020 11103444040