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141595242048 = 26341311291861
BaseRepresentation
bin1000001111011110111…
…0111110111001000000
3111112111000102120110000
42003313232332321000
54304441340221143
6145014205240000
713141601461521
oct2036756767100
9445430376400
10141595242048
11550609060a7
1223537b63000
13104772201c0
146bd3444848
153a3acd0bd3
hex20f7bbee40

141595242048 has 280 divisors, whose sum is σ = 452663260280. Its totient is φ = 43505786880.

The previous prime is 141595241999. The next prime is 141595242053. The reversal of 141595242048 is 840242595141.

141595242048 is a `hidden beast` number, since 1 + 415 + 9 + 5 + 24 + 204 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23940753984 + 117654488064 = 154728^2 + 343008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141595241994 and 141595242012.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76084638 + ... + 76086498.

It is an arithmetic number, because the mean of its divisors is an integer number (1616654501).

Almost surely, 2141595242048 is an apocalyptic number.

141595242048 is a gapful number since it is divisible by the number (18) 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 141595242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226331630140).

141595242048 is an abundant number, since it is smaller than the sum of its proper divisors (311068018232).

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

141595242048 is a wasteful number, since it uses less digits than its factorization.

141595242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 141595242048 in words is "one hundred forty-one billion, five hundred ninety-five million, two hundred forty-two thousand, forty-eight".