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11440917138 = 2377113612819
BaseRepresentation
bin10101010011110111…
…01000101010010010
31002112100002210211210
422221323220222102
5141412333322023
65131134320550
7553342122360
oct125173505222
932470083753
1011440917138
114941110422
122273659156
131104394071
147a7686630
1546e636593
hex2a9ee8a92

11440917138 has 64 divisors (see below), whose sum is σ = 26547886080. Its totient is φ = 3219283200.

The previous prime is 11440917101. The next prime is 11440917139. The reversal of 11440917138 is 83171904411.

It is a happy number.

11440917138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114409171382 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11440917096 and 11440917105.

It is not an unprimeable number, because it can be changed into a prime (11440917139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4057093 + ... + 4059911.

It is an arithmetic number, because the mean of its divisors is an integer number (414810720).

Almost surely, 211440917138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11440917138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273943040).

11440917138 is an abundant number, since it is smaller than the sum of its proper divisors (15106968942).

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

11440917138 is a wasteful number, since it uses less digits than its factorization.

11440917138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263.

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 11440917138 in words is "eleven billion, four hundred forty million, nine hundred seventeen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1361 1491 2722 2819 2982 4083 5638 8166 8457 9527 16914 19054 19733 28581 39466 57162 59199 96631 118398 193262 200149 289893 400298 579786 600447 676417 1200894 1352834 1401043 2029251 2802086 3836659 4058502 4203129 7673318 8406258 11509977 23019954 26856613 53713226 80569839 161139678 272402789 544805578 817208367 1634416734 1906819523 3813639046 5720458569 11440917138