Search a number
-
+
420336316881 = 32134889734837
BaseRepresentation
bin1100001110111011111…
…11110011000111010001
31111011221221221022021100
412013131333303013101
523341322044120011
6521033322015013
742240216512415
oct6073577630721
91434857838240
10420336316881
11152299990258
1269569947469
13308398bb040
14164b6dd2d45
15ae01e48d56
hex61ddff31d1

420336316881 has 24 divisors (see below), whose sum is σ = 653991123240. Its totient is φ = 258615242496.

The previous prime is 420336316879. The next prime is 420336316919. The reversal of 420336316881 is 188613633024.

420336316881 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 3 + 631 + 6 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95846587281 + 324489729600 = 309591^2 + 569640^2 .

It is not a de Polignac number, because 420336316881 - 21 = 420336316879 is a prime.

It is a super-2 number, since 2×4203363168812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420336316831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204595 + ... + 939431.

It is an arithmetic number, because the mean of its divisors is an integer number (27249630135).

Almost surely, 2420336316881 is an apocalyptic number.

It is an amenable number.

420336316881 is a deficient number, since it is larger than the sum of its proper divisors (233654806359).

420336316881 is a wasteful number, since it uses less digits than its factorization.

420336316881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739745 (or 739742 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 420336316881 in words is "four hundred twenty billion, three hundred thirty-six million, three hundred sixteen thousand, eight hundred eighty-one".

Divisors: 1 3 9 13 39 117 4889 14667 44001 63557 190671 572013 734837 2204511 6613533 9552881 28658643 85975929 3592618093 10777854279 32333562837 46704035209 140112105627 420336316881