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141559040 = 285723761
BaseRepresentation
bin10000111000000…
…00010100000000
3100212100221111102
420130000110000
5242214342130
622014033532
73336142400
oct1034002400
9325327442
10141559040
11729a7447
123b4a88a8
1323434b5c
1414b2c800
15c663645
hex8700500

141559040 has 216 divisors, whose sum is σ = 411739272. Its totient is φ = 46448640.

The previous prime is 141559013. The next prime is 141559049. The reversal of 141559040 is 40955141.

It can be written as a sum of positive squares in 4 ways, for example, as 8479744 + 133079296 = 2912^2 + 11536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141558994 and 141559012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141559049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320610 + ... + 2320670.

Almost surely, 2141559040 is an apocalyptic number.

141559040 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 141559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205869636).

141559040 is an abundant number, since it is smaller than the sum of its proper divisors (270180232).

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

141559040 is an equidigital number, since it uses as much as digits as its factorization.

141559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 141559040 is about 11897.8586308630. The cubic root of 141559040 is about 521.1697532250.

The spelling of 141559040 in words is "one hundred forty-one million, five hundred fifty-nine thousand, forty".