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404143242312231 = 32378993337146099
BaseRepresentation
bin101101111100100001110111…
…0011001010111101000100111
31221222221201100102122020001100
41123321003232121113220213
5410432440330012442411
63551312501544531143
7151061246203333212
oct13371035631275047
91858851312566040
10404143242312231
11107855206324594
12393b1802180ab3
131446770c870106
1471b28cca56779
1531aca5e7b5456
hex16f90ee657a27

404143242312231 has 48 divisors (see below), whose sum is σ = 606286872828000. Its totient is φ = 259196945255424.

The previous prime is 404143242312149. The next prime is 404143242312289. The reversal of 404143242312231 is 132213242341404.

404143242312231 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 4 + 3 + 2 + 423 + 1 + 223 + 1 = 666.

It is not a de Polignac number, because 404143242312231 - 226 = 404143175203367 is a prime.

It is a super-2 number, since 2×4041432423122312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404143242312431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2766155620 + ... + 2766301718.

It is an arithmetic number, because the mean of its divisors is an integer number (12630976517250).

Almost surely, 2404143242312231 is an apocalyptic number.

404143242312231 is a deficient number, since it is larger than the sum of its proper divisors (202143630515769).

404143242312231 is a wasteful number, since it uses less digits than its factorization.

404143242312231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239568 (or 239565 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 404143242312231 its reverse (132213242341404), we get a palindrome (536356484653635).

The spelling of 404143242312231 in words is "four hundred four trillion, one hundred forty-three billion, two hundred forty-two million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 37 89 111 267 333 801 3293 9879 29637 93337 146099 280011 438297 840033 1314891 3453469 5405663 8306993 10360407 13002811 16216989 24920979 31081221 39008433 48650967 74762937 117025299 307358741 481104007 922076223 1443312021 2766228669 4329936063 13636442363 40909327089 122727981267 504548367431 1213643370307 1513645102293 3640930110921 4540935306879 10922790332763 44904804701359 134714414104077 404143242312231