Search a number
-
+
132053034351141 = 3214672559372349
BaseRepresentation
bin11110000001100111111110…
…001101000011101000100101
3122022120010222000100022121100
4132001213332031003220211
5114302024103243214031
61144504154305110313
736546342202565211
oct3601477615035045
9568503860308540
10132053034351141
1139092417303a82
121298891a028399
13588b71740a107
142487588367941
1510400084e7de6
hex7819fe343a25

132053034351141 has 6 divisors (see below), whose sum is σ = 190743271840550. Its totient is φ = 88035356234088.

The previous prime is 132053034351101. The next prime is 132053034351187. The reversal of 132053034351141 is 141153430350231.

132053034351141 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 530 + 3 + 4 + 3 + 5 + 114 + 1 = 666.

132053034351141 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 98723022914916 + 33330011436225 = 9935946^2 + 5773215^2 .

It is not a de Polignac number, because 132053034351141 - 226 = 132052967242277 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132053034351096 and 132053034351105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132053034351101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7336279686166 + ... + 7336279686183.

Almost surely, 2132053034351141 is an apocalyptic number.

It is an amenable number.

132053034351141 is a deficient number, since it is larger than the sum of its proper divisors (58690237489409).

132053034351141 is a wasteful number, since it uses less digits than its factorization.

132053034351141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14672559372355 (or 14672559372352 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 132053034351141 in words is "one hundred thirty-two trillion, fifty-three billion, thirty-four million, three hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 3 9 14672559372349 44017678117047 132053034351141