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141232306338 = 23228323132
BaseRepresentation
bin1000001110001000011…
…0011111100010100010
3111111112201111112020200
42003202012133202202
54303220432300323
6144514202250030
713126603540104
oct2034206374242
9444481445220
10141232306338
1154994a56132
12234564b6916
1310419c88146
146b9b16b574
153a18ede443
hex20e219f8a2

141232306338 has 54 divisors (see below), whose sum is σ = 308072682801. Its totient is φ = 46761208416.

The previous prime is 141232306333. The next prime is 141232306361. The reversal of 141232306338 is 833603232141.

141232306338 is a `hidden beast` number, since 1 + 4 + 12 + 3 + 2 + 3 + 0 + 633 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81860648769 + 59371657569 = 286113^2 + 243663^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=265737.

It is not an unprimeable number, because it can be changed into a prime (141232306331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 451221270 + ... + 451221582.

Almost surely, 2141232306338 is an apocalyptic number.

141232306338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

141232306338 is an abundant number, since it is smaller than the sum of its proper divisors (166840376463).

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

141232306338 is an frugal number, since it uses more digits than its factorization.

141232306338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 141232306338 its reverse (833603232141), we get a palindrome (974835538479).

The spelling of 141232306338 in words is "one hundred forty-one billion, two hundred thirty-two million, three hundred six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 283 313 566 626 849 939 1698 1878 2547 2817 5094 5634 80089 88579 97969 160178 177158 195938 240267 265737 293907 480534 531474 587814 720801 797211 881721 1441602 1594422 1763442 25067857 27725227 50135714 55450454 75203571 83175681 150407142 166351362 225610713 249527043 451221426 499054086 7846239241 15692478482 23538717723 47077435446 70616153169 141232306338