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146581131241 = 1109652120269
BaseRepresentation
bin1000100010000011101…
…0101000111111101001
3112000100111020222121201
42020200322220333221
54400144232144431
6151201034204201
713406263025566
oct2104072507751
9460314228551
10146581131241
115718a255486
12244a9883661
1310a9017b0ac
1471476b186d
153c2d89b461
hex2220ea8fe9

146581131241 has 8 divisors (see below), whose sum is σ = 146743043400. Its totient is φ = 146419274880.

The previous prime is 146581131217. The next prime is 146581131247. The reversal of 146581131241 is 142131185641.

It can be written as a sum of positive squares in 4 ways, for example, as 29370761641 + 117210369600 = 171379^2 + 342360^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 146581131241 - 211 = 146581129193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146581131241.

It is not an unprimeable number, because it can be changed into a prime (146581131247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7221655 + ... + 7241923.

It is an arithmetic number, because the mean of its divisors is an integer number (18342880425).

Almost surely, 2146581131241 is an apocalyptic number.

It is an amenable number.

146581131241 is a deficient number, since it is larger than the sum of its proper divisors (161912159).

146581131241 is a wasteful number, since it uses less digits than its factorization.

146581131241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27899.

The product of its digits is 23040, while the sum is 37.

The spelling of 146581131241 in words is "one hundred forty-six billion, five hundred eighty-one million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 1109 6521 20269 7231789 22478321 132174149 146581131241