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141809000 = 23531091301
BaseRepresentation
bin10000111001111…
…01010101101000
3100212211122101012
420130331111220
5242300342000
622023243052
73341233214
oct1034752550
9325748335
10141809000
1173058223
123b5a9488
13234c1868
1414b95944
15c6b2735
hex873d568

141809000 has 64 divisors (see below), whose sum is σ = 335134800. Its totient is φ = 56160000.

The previous prime is 141808987. The next prime is 141809009. The reversal of 141809000 is 908141.

141809000 is digitally balanced in base 2, 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 8 ways, for example, as 1196836 + 140612164 = 1094^2 + 11858^2 .

It is not an unprimeable number, because it can be changed into a prime (141809009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108350 + ... + 109650.

Almost surely, 2141809000 is an apocalyptic number.

141809000 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 141809000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167567400).

141809000 is an abundant number, since it is smaller than the sum of its proper divisors (193325800).

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

141809000 is a wasteful number, since it uses less digits than its factorization.

141809000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 141809000 is about 11908.3584091175. The cubic root of 141809000 is about 521.4763272884.

The spelling of 141809000 in words is "one hundred forty-one million, eight hundred nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1090 1301 2180 2602 2725 4360 5204 5450 6505 10408 10900 13010 13625 21800 26020 27250 32525 52040 54500 65050 109000 130100 141809 162625 260200 283618 325250 567236 650500 709045 1134472 1301000 1418090 2836180 3545225 5672360 7090450 14180900 17726125 28361800 35452250 70904500 141809000