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141810000 = 2435429163
BaseRepresentation
bin10000111001111…
…01100101010000
3100212211200202020
420130331211100
5242300410000
622023251440
73341236143
oct1034754520
9325750666
10141810000
1173058a52
123b5a9b80
13234c2157
1414b9605a
15c6b2ba0
hex873d950

141810000 has 200 divisors, whose sum is σ = 476472480. Its totient is φ = 36288000.

The previous prime is 141809957. The next prime is 141810007. The reversal of 141810000 is 18141.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1418100002 = 40220152200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141810007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 869919 + ... + 870081.

Almost surely, 2141810000 is an apocalyptic number.

141810000 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 141810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238236240).

141810000 is an abundant number, since it is smaller than the sum of its proper divisors (334662480).

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

141810000 is a wasteful number, since it uses less digits than its factorization.

141810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 141810000 is about 11908.4003963589. The cubic root of 141810000 is about 521.4775530571.

Adding to 141810000 its reverse (18141), we get a palindrome (141828141).

The spelling of 141810000 in words is "one hundred forty-one million, eight hundred ten thousand".