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131314140336330 = 2325710111273183067
BaseRepresentation
bin11101110110110111110100…
…101100000101000011001010
3122012221111202012220020211100
4131312313310230011003022
5114202422324411230310
61143140514442042230
736442063545232410
oct3566676454050312
9565844665806740
10131314140336330
113892801795a396
1212889687aa9376
135836b41085933
14245d8d17112b0
15102abaeac2ec0
hex776df4b050ca

131314140336330 has 192 divisors, whose sum is σ = 394090969828608. Its totient is φ = 29714687308800.

The previous prime is 131314140336299. The next prime is 131314140336347. The reversal of 131314140336330 is 33633041413131.

131314140336330 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 4 + 14 + 0 + 3 + 3 + 633 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 717209457 + ... + 717392523.

It is an arithmetic number, because the mean of its divisors is an integer number (2052557134524).

Almost surely, 2131314140336330 is an apocalyptic number.

131314140336330 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 131314140336330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197045484914304).

131314140336330 is an abundant number, since it is smaller than the sum of its proper divisors (262776829492278).

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

131314140336330 is a wasteful number, since it uses less digits than its factorization.

131314140336330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194461 (or 194458 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Adding to 131314140336330 its reverse (33633041413131), we get a palindrome (164947181749461).

The spelling of 131314140336330 in words is "one hundred thirty-one trillion, three hundred fourteen billion, one hundred forty million, three hundred thirty-six thousand, three hundred thirty".