Search a number
-
+
1304505314505 = 32528989006989
BaseRepresentation
bin10010111110111010100…
…100110110110011001001
311121201011012220010212100
4102332322210312303021
5132333111330031010
62435140444104013
7163150600135161
oct22767244666311
94551135803770
101304505314505
11463268272708
121909a4235009
1396025611c03
14471d1a795a1
1523dee7132c0
hex12fba936cc9

1304505314505 has 12 divisors (see below), whose sum is σ = 2261142545220. Its totient is φ = 695736167712.

The previous prime is 1304505314449. The next prime is 1304505314521. The reversal of 1304505314505 is 5054135054031.

1304505314505 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 505 + 3 + 145 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 247194912969 + 1057310401536 = 497187^2 + 1028256^2 .

It is not a de Polignac number, because 1304505314505 - 210 = 1304505313481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1304505314505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14494503450 + ... + 14494503539.

It is an arithmetic number, because the mean of its divisors is an integer number (188428545435).

Almost surely, 21304505314505 is an apocalyptic number.

1304505314505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1304505314505 is a deficient number, since it is larger than the sum of its proper divisors (956637230715).

1304505314505 is a wasteful number, since it uses less digits than its factorization.

1304505314505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28989007000 (or 28989006997 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1304505314505 in words is "one trillion, three hundred four billion, five hundred five million, three hundred fourteen thousand, five hundred five".

Divisors: 1 3 5 9 15 45 28989006989 86967020967 144945034945 260901062901 434835104835 1304505314505