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141140430 = 232510115527
BaseRepresentation
bin10000110100110…
…10000111001110
3100211120200021100
420122122013032
5242112443210
622001043530
73332450064
oct1032320716
9324520240
10141140430
1172740992
123b3265a6
1323319462
1414a60034
15c5ce5c0
hex869a1ce

141140430 has 48 divisors (see below), whose sum is σ = 370622304. Its totient is φ = 37262400.

The previous prime is 141140423. The next prime is 141140437. The reversal of 141140430 is 34041141.

It is an interprime number because it is at equal distance from previous prime (141140423) and next prime (141140437).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141140437) 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 23 ways as a sum of consecutive naturals, for example, 1327 + ... + 16853.

It is an arithmetic number, because the mean of its divisors is an integer number (7721298).

Almost surely, 2141140430 is an apocalyptic number.

141140430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141140430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185311152).

141140430 is an abundant number, since it is smaller than the sum of its proper divisors (229481874).

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

141140430 is a wasteful number, since it uses less digits than its factorization.

141140430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15641 (or 15638 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141140430 is about 11880.2537851681. The cubic root of 141140430 is about 520.6555219087.

Adding to 141140430 its reverse (34041141), we get a palindrome (175181571).

The spelling of 141140430 in words is "one hundred forty-one million, one hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 15527 31054 46581 77635 93162 139743 155270 232905 279486 465810 698715 1397430 1568227 3136454 4704681 7841135 9409362 14114043 15682270 23523405 28228086 47046810 70570215 141140430