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305465488060041 = 323492166932
BaseRepresentation
bin100010101110100011011100…
…1111010000010111010001001
31111001120012211001222020002100
41011131012321322002322021
5310014221304420410131
63001400524041224013
7121225103361453051
oct10535067172027211
91431505731866070
10305465488060041
11893702055a5151
122a315311a92009
131015a36c5576aa
145560873a60561
15254acd1ddd7e6
hex115d1b9e82e89

305465488060041 has 27 divisors (see below), whose sum is σ = 442522322585109. Its totient is φ = 203047988131872.

The previous prime is 305465488060027. The next prime is 305465488060069. The reversal of 305465488060041 is 140060884564503.

The square root of 305465488060041 is 17477571.

It is a perfect power (a square), and thus also a powerful number.

305465488060041 is a `hidden beast` number, since 3 + 0 + 5 + 4 + 65 + 488 + 0 + 60 + 0 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21324030662025 + 284141457398016 = 4617795^2 + 16856496^2 .

It is not a de Polignac number, because 305465488060041 - 27 = 305465488059913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 305465488060041.

It is not an unprimeable number, because it can be changed into a prime (305465488060541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18299008491 + ... + 18299025183.

Almost surely, 2305465488060041 is an apocalyptic number.

305465488060041 is the 17477571-st square number.

305465488060041 is the 8738786-th centered octagonal number.

It is an amenable number.

305465488060041 is a deficient number, since it is larger than the sum of its proper divisors (137056834525068).

305465488060041 is an frugal number, since it uses more digits than its factorization.

305465488060041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34090 (or 17045 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 305465488060041 in words is "three hundred five trillion, four hundred sixty-five billion, four hundred eighty-eight million, sixty thousand, forty-one".

Divisors: 1 3 9 349 1047 3141 16693 50079 121801 150237 365403 1096209 5825857 17477571 52432713 278656249 835968747 2033224093 2507906241 6099672279 18299016837 97251030901 291753092703 875259278109 33940609784449 101821829353347 305465488060041