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131141122432432 = 24717371861530809
BaseRepresentation
bin11101110100010110101100…
…000001001001110110110000
3122012022222011022012001211121
4131310112230001021312300
5114142104004320314212
61142525222215552024
736423430160302540
oct3564265401116660
9565288138161747
10131141122432432
1138870701853372
121286004068b614
135823729b18cc8
14245539ad31320
151026435348d07
hex7745ac049db0

131141122432432 has 80 divisors (see below), whose sum is σ = 315775194361920. Its totient is φ = 51467603779584.

The previous prime is 131141122432427. The next prime is 131141122432519. The reversal of 131141122432432 is 234234221141131.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930694957 + ... + 930835852.

It is an arithmetic number, because the mean of its divisors is an integer number (3947189929524).

Almost surely, 2131141122432432 is an apocalyptic number.

It is an amenable number.

131141122432432 is an abundant number, since it is smaller than the sum of its proper divisors (184634071929488).

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

131141122432432 is a wasteful number, since it uses less digits than its factorization.

131141122432432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861530878 (or 1861530872 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

Adding to 131141122432432 its reverse (234234221141131), we get a palindrome (365375343573563).

The spelling of 131141122432432 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twenty-two million, four hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 37 56 68 74 112 119 136 148 238 259 272 296 476 518 592 629 952 1036 1258 1904 2072 2516 4144 4403 5032 8806 10064 17612 35224 70448 1861530809 3723061618 7446123236 13030715663 14892246472 26061431326 29784492944 31646023753 52122862652 63292047506 68876639933 104245725304 126584095012 137753279866 208491450608 221522166271 253168190024 275506559732 443044332542 482136479531 506336380048 551013119464 886088665084 964272959062 1102026238928 1170902878861 1772177330168 1928545918124 2341805757722 3544354660336 3857091836248 4683611515444 7714183672496 8196320152027 9367223030888 16392640304054 18734446061776 32785280608108 65570561216216 131141122432432