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1139971838720 = 285111331200903
BaseRepresentation
bin10000100101101011100…
…111011101001100000000
311000222110121010120012212
4100211223213131030000
5122134130242314340
62231410144441252
7145234364515331
oct20455347351400
94028417116185
101139971838720
113aa506425050
12164b26319228
138366407a750
143d264024288
151e9bec73a65
hex1096b9dd300

1139971838720 has 288 divisors, whose sum is σ = 3311463665664. Its totient is φ = 370302566400.

The previous prime is 1139971838683. The next prime is 1139971838729. The reversal of 1139971838720 is 278381799311.

It is a self number, because there is not a number n which added to its sum of digits gives 1139971838720.

It is not an unprimeable number, because it can be changed into a prime (1139971838729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5573789 + ... + 5774691.

It is an arithmetic number, because the mean of its divisors is an integer number (11498137728).

Almost surely, 21139971838720 is an apocalyptic number.

1139971838720 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 1139971838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655731832832).

1139971838720 is an abundant number, since it is smaller than the sum of its proper divisors (2171491826944).

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

1139971838720 is a wasteful number, since it uses less digits than its factorization.

1139971838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200979 (or 200965 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 59.

The spelling of 1139971838720 in words is "one trillion, one hundred thirty-nine billion, nine hundred seventy-one million, eight hundred thirty-eight thousand, seven hundred twenty".