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431413104404133 = 3425121219472943
BaseRepresentation
bin110001000010111100011000…
…0110101101110011010100101
32002120111200122000012101010000
41202011320300311232122211
5423021233014211413013
64125312235533451513
7156604365620513505
oct14205706065563245
92076450560171100
10431413104404133
111155092a75797a5
12404768bb940b99
131569510948bb47
147876711785a05
1534d20a173d973
hex1885e30d6e6a5

431413104404133 has 20 divisors (see below), whose sum is σ = 647024169008448. Its totient is φ = 286462884717000.

The previous prime is 431413104404123. The next prime is 431413104404141. The reversal of 431413104404133 is 331404401314134.

431413104404133 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 13 + 104 + 404 + 133 = 666.

It is not a de Polignac number, because 431413104404133 - 216 = 431413104338597 is a prime.

It is a super-3 number, since 3×4314131044041333 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431413104404123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10609716141 + ... + 10609756802.

Almost surely, 2431413104404133 is an apocalyptic number.

It is an amenable number.

431413104404133 is a deficient number, since it is larger than the sum of its proper divisors (215611064604315).

431413104404133 is a wasteful number, since it uses less digits than its factorization.

431413104404133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21219473206 (or 21219473197 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 431413104404133 its reverse (331404401314134), we get a palindrome (762817505718267).

The spelling of 431413104404133 in words is "four hundred thirty-one trillion, four hundred thirteen billion, one hundred four million, four hundred four thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 251 753 2259 6777 20331 21219472943 63658418829 190975256487 572925769461 1718777308383 5326087708693 15978263126079 47934789378237 143804368134711 431413104404133