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431134024432212 = 223261398849197641
BaseRepresentation
bin110001000000111010011011…
…0011000000111101001010100
32002112112000021102222212212200
41202001310312120013221110
5423002144440223312322
64124540123033244500
7156545256016060503
oct14201646630075124
92075460242885780
10431134024432212
11115410a05173202
12404307b4563730
13156749c182469a
147866dd8bba83a
1534c9bba9818ac
hex1881d36607a54

431134024432212 has 72 divisors (see below), whose sum is σ = 1091605404325800. Its totient is φ = 143474724679680.

The previous prime is 431134024432193. The next prime is 431134024432213. The reversal of 431134024432212 is 212234420431134.

431134024432212 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 3 + 4 + 0 + 2 + 4 + 432 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7803564032196 + 423330460400016 = 2793486^2 + 20574996^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431134024432213) 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, 2181300912 + ... + 2181498552.

Almost surely, 2431134024432212 is an apocalyptic number.

It is an amenable number.

431134024432212 is an abundant number, since it is smaller than the sum of its proper divisors (660471379893588).

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

431134024432212 is a wasteful number, since it uses less digits than its factorization.

431134024432212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297113 (or 297108 counting only the distinct ones).

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

Adding to 431134024432212 its reverse (212234420431134), we get a palindrome (643368444863346).

The spelling of 431134024432212 in words is "four hundred thirty-one trillion, one hundred thirty-four billion, twenty-four million, four hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 613 1226 1839 2452 3678 5517 7356 11034 22068 98849 197641 197698 296547 395282 395396 592923 593094 790564 889641 1185846 1186188 1778769 1779282 2371692 3557538 3558564 7115076 60594437 121153933 121188874 181783311 242307866 242377748 363461799 363566622 484615732 545349933 726923598 727133244 1090385397 1090699866 1453847196 2180770794 2181399732 4361541588 19536615209 39073230418 58609845627 78146460836 117219691254 175829536881 234439382508 351659073762 703318147524 11975945123117 23951890246234 35927835369351 47903780492468 71855670738702 107783506108053 143711341477404 215567012216106 431134024432212