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115141465515340 = 2251123471931250727
BaseRepresentation
bin11010001011100001110110…
…001001101010010101001100
3120002200102020200222200101101
4122023201312021222111030
5110042434210132442330
61044515131541152444
733152460565361545
oct3213416611522514
9502612220880341
10115141465515340
11337622486081a0
1210ab722b9bb724
134c32a41734644
142060c3b7dd4cc
15d4a16163c4ca
hex68b87626a54c

115141465515340 has 192 divisors, whose sum is σ = 281250286829568. Its totient is φ = 39176639532800.

The previous prime is 115141465515299. The next prime is 115141465515361. The reversal of 115141465515340 is 43515564141511.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459105057 + ... + 459355783.

It is an arithmetic number, because the mean of its divisors is an integer number (1464845243904).

Almost surely, 2115141465515340 is an apocalyptic number.

115141465515340 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 115141465515340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140625143414784).

115141465515340 is an abundant number, since it is smaller than the sum of its proper divisors (166108821314228).

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

115141465515340 is a wasteful number, since it uses less digits than its factorization.

115141465515340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252748 (or 252746 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 46.

The spelling of 115141465515340 in words is "one hundred fifteen trillion, one hundred forty-one billion, four hundred sixty-five million, five hundred fifteen thousand, three hundred forty".