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131443102442340 = 223451343314414233
BaseRepresentation
bin11101111000101111111011…
…011011011110001101100100
3122020101211121210212000120000
4131320233323123132031210
5114212030433211123330
61143320043323341300
736454310420111643
oct3570577333361544
9566354553760500
10131443102442340
1138977785683397
12128aa679081830
135846053c131c0
142465c4700735a
15102e20b76c560
hex778bfb6de364

131443102442340 has 240 divisors, whose sum is σ = 445086061554288. Its totient is φ = 32280499593216.

The previous prime is 131443102442329. The next prime is 131443102442359. The reversal of 131443102442340 is 43244201344131.

131443102442340 is a `hidden beast` number, since 1 + 3 + 1 + 44 + 31 + 0 + 244 + 2 + 340 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2736437191524 + 128706665250816 = 1654218^2 + 11344896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131443102442295 and 131443102442304.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1911864 + ... + 16326096.

Almost surely, 2131443102442340 is an apocalyptic number.

131443102442340 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 131443102442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222543030777144).

131443102442340 is an abundant number, since it is smaller than the sum of its proper divisors (313642959111948).

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

131443102442340 is a wasteful number, since it uses less digits than its factorization.

131443102442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14414700 (or 14414689 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 131443102442340 its reverse (43244201344131), we get a palindrome (174687303786471).

The spelling of 131443102442340 in words is "one hundred thirty-one trillion, four hundred forty-three billion, one hundred two million, four hundred forty-two thousand, three hundred forty".