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141840000 = 273254197
BaseRepresentation
bin10000111010001…
…00111010000000
3100212220012220100
420131010322000
5242302340000
622024042400
73341422461
oct1035047200
9325805810
10141840000
1173079545
123b603400
13235029c3
1414ba2d68
15c6bba00
hex8744e80

141840000 has 240 divisors, whose sum is σ = 512624970. Its totient is φ = 37632000.

The previous prime is 141839987. The next prime is 141840001. The reversal of 141840000 is 48141.

It can be written as a sum of positive squares in 5 ways, for example, as 24681024 + 117158976 = 4968^2 + 10824^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (141840001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719902 + ... + 720098.

Almost surely, 2141840000 is an apocalyptic number.

141840000 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 141840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256312485).

141840000 is an abundant number, since it is smaller than the sum of its proper divisors (370784970).

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

141840000 is an equidigital number, since it uses as much as digits as its factorization.

141840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 141840000 is about 11909.6599447675. The cubic root of 141840000 is about 521.5143234389.

Adding to 141840000 its reverse (48141), we get a palindrome (141888141).

The spelling of 141840000 in words is "one hundred forty-one million, eight hundred forty thousand".