Search a number
-
+
154344104345313 = 32171008784995721
BaseRepresentation
bin100011000110000000001001…
…100000110011111011100001
3202020111011010000012101220200
4203012000021200303323201
5130212233211203022223
61304132411440255413
744336664534350241
oct4306001140637341
9666434100171820
10154344104345313
11451a6a70184593
1215388b08311569
13681778196c79c
142a1841a1c1b21
1512c9c9ea67a43
hex8c6009833ee1

154344104345313 has 12 divisors (see below), whose sum is σ = 236055688998948. Its totient is φ = 96843359589120.

The previous prime is 154344104345297. The next prime is 154344104345317. The reversal of 154344104345313 is 313543401443451.

154344104345313 is a `hidden beast` number, since 1 + 5 + 4 + 3 + 4 + 4 + 104 + 3 + 4 + 531 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134746058672289 + 19598045673024 = 11608017^2 + 4426968^2 .

It is not a de Polignac number, because 154344104345313 - 24 = 154344104345297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (154344104345317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504392497708 + ... + 504392498013.

It is an arithmetic number, because the mean of its divisors is an integer number (19671307416579).

Almost surely, 2154344104345313 is an apocalyptic number.

It is an amenable number.

154344104345313 is a deficient number, since it is larger than the sum of its proper divisors (81711584653635).

154344104345313 is a wasteful number, since it uses less digits than its factorization.

154344104345313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008784995744 (or 1008784995741 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 154344104345313 its reverse (313543401443451), we get a palindrome (467887505788764).

The spelling of 154344104345313 in words is "one hundred fifty-four trillion, three hundred forty-four billion, one hundred four million, three hundred forty-five thousand, three hundred thirteen".

Divisors: 1 3 9 17 51 153 1008784995721 3026354987163 9079064961489 17149344927257 51448034781771 154344104345313