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1014230111040 = 263251926968903
BaseRepresentation
bin11101100001001001101…
…00110101001101000000
310120221220102212222001200
432300210310311031000
5113104120402023130
62053533023101200
7133163365462146
oct16604464651500
93527812788050
101014230111040
11361150502a43
12144693741800
13748454753a3
14371362dd596
151b5b0ba0760
hexec24d35340

1014230111040 has 336 divisors, whose sum is σ = 3685840329600. Its totient is φ = 255270334464.

The previous prime is 1014230110997. The next prime is 1014230111047. The reversal of 1014230111040 is 401110324101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014230111047) 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 47 ways as a sum of consecutive naturals, for example, 14685229 + ... + 14754131.

Almost surely, 21014230111040 is an apocalyptic number.

1014230111040 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 1014230111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842920164800).

1014230111040 is an abundant number, since it is smaller than the sum of its proper divisors (2671610218560).

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

1014230111040 is a wasteful number, since it uses less digits than its factorization.

1014230111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69214 (or 69201 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1014230111040 its reverse (401110324101), we get a palindrome (1415340435141).

The spelling of 1014230111040 in words is "one trillion, fourteen billion, two hundred thirty million, one hundred eleven thousand, forty".