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141140000 = 25547057
BaseRepresentation
bin10000110100110…
…10000000100000
3100211120122200102
420122122000200
5242112440000
622001041532
73332445611
oct1032320040
9324518612
10141140000
1172740631
123b3262a8
13233191c1
1414a5dc08
15c5ce3d5
hex869a020

141140000 has 60 divisors (see below), whose sum is σ = 347274774. Its totient is φ = 56448000.

The previous prime is 141139997. The next prime is 141140011. The reversal of 141140000 is 41141.

141140000 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 5 ways, for example, as 31225744 + 109914256 = 5588^2 + 10484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16472 + ... + 23528.

Almost surely, 2141140000 is an apocalyptic number.

141140000 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 141140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173637387).

141140000 is an abundant number, since it is smaller than the sum of its proper divisors (206134774).

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

141140000 is an frugal number, since it uses more digits than its factorization.

141140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 141140000 is about 11880.2356878978. The cubic root of 141140000 is about 520.6549931632.

Adding to 141140000 its reverse (41141), we get a palindrome (141181141).

It can be divided in two parts, 1411 and 40000, that multiplied together give a triangular number (56440000 = T10624).

The spelling of 141140000 in words is "one hundred forty-one million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 7057 10000 14114 20000 28228 35285 56456 70570 112912 141140 176425 225824 282280 352850 564560 705700 882125 1129120 1411400 1764250 2822800 3528500 4410625 5645600 7057000 8821250 14114000 17642500 28228000 35285000 70570000 141140000