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1111431423144 = 2337371638591277
BaseRepresentation
bin10000001011000110011…
…110011010010010101000
310221020210120022020021010
4100023012132122102220
5121202202421020034
62210330132343520
7143204210135550
oct20130636322250
93836716266233
101111431423144
113993a0077439
1215b4a0174ba0
1380a661c6b93
143bb1779c160
151dd9e35e3e9
hex102c679a4a8

1111431423144 has 256 divisors, whose sum is σ = 3287743948800. Its totient is φ = 306476172288.

The previous prime is 1111431423127. The next prime is 1111431423163. The reversal of 1111431423144 is 4413241341111.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 870345034 + ... + 870346310.

It is an arithmetic number, because the mean of its divisors is an integer number (12842749800).

Almost surely, 21111431423144 is an apocalyptic number.

1111431423144 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 1111431423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643871974400).

1111431423144 is an abundant number, since it is smaller than the sum of its proper divisors (2176312525656).

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

1111431423144 is a wasteful number, since it uses less digits than its factorization.

1111431423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2348 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 1111431423144 its reverse (4413241341111), we get a palindrome (5524672764255).

The spelling of 1111431423144 in words is "one trillion, one hundred eleven billion, four hundred thirty-one million, four hundred twenty-three thousand, one hundred forty-four".