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141120000 = 29325472
BaseRepresentation
bin10000110100101…
…01001000000000
3100211112122020200
420122111020000
5242111320000
622000405200
73332333400
oct1032251000
9324478220
10141120000
11727275aa
123b316800
1323310078
1414a56800
15c5c8500
hex8695200

141120000 has 450 divisors, whose sum is σ = 592031583. Its totient is φ = 32256000.

The previous prime is 141119999. The next prime is 141120013. The reversal of 141120000 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.

141120000 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 3 ways, for example, as 32626944 + 108493056 = 5712^2 + 10416^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8400.

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 an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20159997 + ... + 20160003.

Almost surely, 2141120000 is an apocalyptic number.

141120000 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 141120000

141120000 is an abundant number, since it is smaller than the sum of its proper divisors (450911583).

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

141120000 is an frugal number, since it uses more digits than its factorization.

141120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

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

The square root of 141120000 is about 11879.3939239340. The cubic root of 141120000 is about 520.6303991625.

Adding to 141120000 its reverse (21141), we get a palindrome (141141141).

The spelling of 141120000 in words is "one hundred forty-one million, one hundred twenty thousand".