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126130141440000 = 211355431103127
BaseRepresentation
bin11100101011011011110110…
…010001101010100000000000
3121112120220221102101201200000
4130223123312101222200000
5113013004012202040000
61124131215334400000
735365413325531245
oct3453336621524000
9545526842351600
10126130141440000
1137209546700755
1212190a49200000
13554c037a53ba9
142320a350255cc
15e8ae03a90000
hex72b6f646a800

126130141440000 has 2880 divisors, whose sum is σ = 495906283192320. Its totient is φ = 31979888640000.

The previous prime is 126130141439999. The next prime is 126130141440041. The reversal of 126130141440000 is 44141031621.

126130141440000 is a `hidden beast` number, since 1 + 2 + 613 + 0 + 1 + 4 + 1 + 4 + 40 + 0 + 0 + 0 = 666.

126130141440000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 993150719937 + ... + 993150720063.

It is an arithmetic number, because the mean of its divisors is an integer number (172189681664).

Almost surely, 2126130141440000 is an apocalyptic number.

126130141440000 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 126130141440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247953141596160).

126130141440000 is an abundant number, since it is smaller than the sum of its proper divisors (369776141752320).

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

126130141440000 is an equidigital number, since it uses as much as digits as its factorization.

126130141440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 126130141440000 its reverse (44141031621), we get a palindrome (126174282471621).

The spelling of 126130141440000 in words is "one hundred twenty-six trillion, one hundred thirty billion, one hundred forty-one million, four hundred forty thousand".