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2032004053431 = 3211281523139663
BaseRepresentation
bin11101100100011100111…
…000010011100110110111
321012020221212010012211100
4131210130320103212313
5231243021014202211
64153253442541143
7266543645320212
oct35443470234667
97166855105740
102032004053431
1171384a34a920
122899960677b3
13119803b927b1
14704c712a779
1537ccca1a156
hex1d91ce139b7

2032004053431 has 48 divisors (see below), whose sum is σ = 3219507712512. Its totient is φ = 1224779875200.

The previous prime is 2032004053423. The next prime is 2032004053433. The reversal of 2032004053431 is 1343504002302.

2032004053431 is a `hidden beast` number, since 20 + 3 + 200 + 4 + 0 + 5 + 3 + 431 = 666.

It is not a de Polignac number, because 2032004053431 - 23 = 2032004053423 is a prime.

It is a super-2 number, since 2×20320040534312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2032004053395 and 2032004053404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032004053433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14479506 + ... + 14619168.

It is an arithmetic number, because the mean of its divisors is an integer number (67073077344).

Almost surely, 22032004053431 is an apocalyptic number.

2032004053431 is a deficient number, since it is larger than the sum of its proper divisors (1187503659081).

2032004053431 is a wasteful number, since it uses less digits than its factorization.

2032004053431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140484 (or 140481 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 2032004053431 its reverse (1343504002302), we get a palindrome (3375508055733).

The spelling of 2032004053431 in words is "two trillion, thirty-two billion, four million, fifty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 281 523 843 1569 2529 3091 4707 5753 9273 17259 27819 51777 139663 146963 418989 440889 1256967 1322667 1536293 1616593 4608879 4849779 13826637 14549337 39245303 73043749 117735909 219131247 353207727 431698333 657393741 803481239 1295094999 2410443717 3885284997 7231331151 20525293469 61575880407 184727641221 225778228159 677334684477 2032004053431