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140044011131440 = 245132891129103087
BaseRepresentation
bin11111110101111010001001…
…100010010101001000110000
3200100212002001220221200000101
4133311322021202111020300
5121323440113322201230
61213503155222202144
741332563101524453
oct3765721142251060
9610762056850011
10140044011131440
1140693371386749
1213859573b83354
13601b12a7b1200
1426822484a949a
15112cced1e6aca
hex7f5e89895230

140044011131440 has 240 divisors, whose sum is σ = 356856080284800. Its totient is φ = 51081781690368.

The previous prime is 140044011131419. The next prime is 140044011131443. The reversal of 140044011131440 is 44131110440041.

It is a happy number.

It is a super-2 number, since 2×1400440111314402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140044011131399 and 140044011131408.

It is not an unprimeable number, because it can be changed into a prime (140044011131443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358451577 + ... + 1358554663.

It is an arithmetic number, because the mean of its divisors is an integer number (1486900334520).

Almost surely, 2140044011131440 is an apocalyptic number.

140044011131440 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 140044011131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178428040142400).

140044011131440 is an abundant number, since it is smaller than the sum of its proper divisors (216812069153360).

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

140044011131440 is a wasteful number, since it uses less digits than its factorization.

140044011131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104344 (or 104325 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 140044011131440 its reverse (44131110440041), we get a palindrome (184175121571481).

The spelling of 140044011131440 in words is "one hundred forty trillion, forty-four billion, eleven million, one hundred thirty-one thousand, four hundred forty".