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141057126000 = 243753717271
BaseRepresentation
bin1000001101011110101…
…0001110111001110000
3111111002111212110000000
42003113222032321300
54302341111013000
6144444543430000
713122345534210
oct2032752167160
9444074773000
10141057126000
115490508559a
12234078b5300
13103bc8b0c3b
146b81baa240
153a08939000
hex20d7a8ee70

141057126000 has 1280 divisors, whose sum is σ = 621285949440. Its totient is φ = 30233088000.

The previous prime is 141057125953. The next prime is 141057126043. The reversal of 141057126000 is 621750141.

It is a happy number.

141057126000 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 57 + 1 + 2 + 600 + 0 = 666.

141057126000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1410571260002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 520505865 + ... + 520506135.

It is an arithmetic number, because the mean of its divisors is an integer number (485379648).

Almost surely, 2141057126000 is an apocalyptic number.

141057126000 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 141057126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310642974720).

141057126000 is an abundant number, since it is smaller than the sum of its proper divisors (480228823440).

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

141057126000 is an equidigital number, since it uses as much as digits as its factorization.

141057126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 141057126000 its reverse (621750141), we get a palindrome (141678876141).

The spelling of 141057126000 in words is "one hundred forty-one billion, fifty-seven million, one hundred twenty-six thousand".