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141120000000 = 212325772
BaseRepresentation
bin1000001101101101101…
…0000101000000000000
3111111020220011202220200
42003123122011000000
54303003210000000
6144455111205200
713124041131300
oct2033332050000
9444226152820
10141120000000
1154937619781
1223424976800
13103cc9260a5
146b8a295600
153a0e208500
hex20db685000

141120000000 has 936 divisors, whose sum is σ = 592726119336. Its totient is φ = 32256000000.

The previous prime is 141119999983. The next prime is 141120000011. The reversal of 141120000000 is 21141.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

141120000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 139600871424 + 1519128576 = 373632^2 + 38976^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20159999997 + ... + 20160000003.

It is an arithmetic number, because the mean of its divisors is an integer number (633254401).

Almost surely, 2141120000000 is an apocalyptic number.

141120000000 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 141120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296363059668).

141120000000 is an abundant number, since it is smaller than the sum of its proper divisors (451606119336).

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

141120000000 is an frugal number, since it uses more digits than its factorization.

141120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 141120000000 its reverse (21141), we get a palindrome (141120021141).

The spelling of 141120000000 in words is "one hundred forty-one billion, one hundred twenty million", and thus it is an aban number.