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141230340 = 223253892017
BaseRepresentation
bin10000110101100…
…00000100000100
3100211202020121100
420122300010010
5242123332330
622003020100
73333303156
oct1032600404
9324666540
10141230340
11727a2499
123b36a630
132334b364
1414a84ad6
15c5eb060
hex86b0104

141230340 has 72 divisors (see below), whose sum is σ = 429712920. Its totient is φ = 37545984.

The previous prime is 141230333. The next prime is 141230359. The reversal of 141230340 is 43032141.

It can be written as a sum of positive squares in 4 ways, for example, as 18818244 + 122412096 = 4338^2 + 11064^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69012 + ... + 71028.

It is an arithmetic number, because the mean of its divisors is an integer number (5968235).

Almost surely, 2141230340 is an apocalyptic number.

141230340 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 141230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214856460).

141230340 is an abundant number, since it is smaller than the sum of its proper divisors (288482580).

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

141230340 is a wasteful number, since it uses less digits than its factorization.

141230340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 141230340 is about 11884.0371928062. The cubic root of 141230340 is about 520.7660553240.

Adding to 141230340 its reverse (43032141), we get a palindrome (184262481).

The spelling of 141230340 in words is "one hundred forty-one million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 389 778 1167 1556 1945 2017 2334 3501 3890 4034 4668 5835 6051 7002 7780 8068 10085 11670 12102 14004 17505 18153 20170 23340 24204 30255 35010 36306 40340 60510 70020 72612 90765 121020 181530 363060 784613 1569226 2353839 3138452 3923065 4707678 7061517 7846130 9415356 11769195 14123034 15692260 23538390 28246068 35307585 47076780 70615170 141230340