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140411841024 = 293731321983
BaseRepresentation
bin1000001011000100110…
…0101010101000000000
3111102102112122120102110
42002301030222220000
54300030412403044
6144300533015320
713100351646000
oct2026114525000
9442375576373
10140411841024
1154603907424
1223267784540
1310318cbb100
146b201d6000
1539bbe736b9
hex20b132aa00

140411841024 has 960 divisors, whose sum is σ = 503217792000. Its totient is φ = 34659975168.

The previous prime is 140411840957. The next prime is 140411841049. The reversal of 140411841024 is 420148114041.

It is a junction number, because it is equal to n+sod(n) for n = 140411840982 and 140411841000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1691708887 + ... + 1691708969.

It is an arithmetic number, because the mean of its divisors is an integer number (524185200).

Almost surely, 2140411841024 is an apocalyptic number.

140411841024 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 140411841024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251608896000).

140411841024 is an abundant number, since it is smaller than the sum of its proper divisors (362805950976).

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

140411841024 is an equidigital number, since it uses as much as digits as its factorization.

140411841024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 140411841024 its reverse (420148114041), we get a palindrome (560559955065).

The spelling of 140411841024 in words is "one hundred forty billion, four hundred eleven million, eight hundred forty-one thousand, twenty-four".