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431124124260042 = 232241175995647091
BaseRepresentation
bin110001000000110101110100…
…0010001111101011011001010
32002112111001201111002000210100
41202001223220101331123022
5423002014201302310132
64124531404414230230
7156544455463023003
oct14201535021753312
92075431644060710
10431124124260042
11115407794842334
124042a8b0ab5376
1315673aa471a545
14786673a0021aa
1534c97db74237c
hex1881ae847d6ca

431124124260042 has 48 divisors (see below), whose sum is σ = 938031675609600. Its totient is φ = 143103585340800.

The previous prime is 431124124260041. The next prime is 431124124260077. The reversal of 431124124260042 is 240062421421134.

431124124260042 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 2 + 4 + 1 + 2 + 4 + 2 + 600 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 431124124259979 and 431124124260006.

It is not an unprimeable number, because it can be changed into a prime (431124124260041) 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 23 ways as a sum of consecutive naturals, for example, 73520917 + ... + 79168007.

It is an arithmetic number, because the mean of its divisors is an integer number (19542326575200).

Almost surely, 2431124124260042 is an apocalyptic number.

431124124260042 is an abundant number, since it is smaller than the sum of its proper divisors (506907551349558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431124124260042 is a wasteful number, since it uses less digits than its factorization.

431124124260042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5664939 (or 5664936 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 431124124260042 its reverse (240062421421134), we get a palindrome (671186545681176).

The spelling of 431124124260042 in words is "four hundred thirty-one trillion, one hundred twenty-four billion, one hundred twenty-four million, two hundred sixty thousand, forty-two".

Divisors: 1 2 3 6 9 18 241 482 723 1446 2169 4338 17599 35198 52797 105594 158391 316782 4241359 5647091 8482718 11294182 12724077 16941273 25448154 33882546 38172231 50823819 76344462 101647638 1360948931 2721897862 4082846793 8165693586 12248540379 24497080758 99383154509 198766309018 298149463527 596298927054 894448390581 1788896781162 23951340236669 47902680473338 71854020710007 143708041420014 215562062130021 431124124260042