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434120203223432 = 231145710794713627
BaseRepresentation
bin110001010110101000111110…
…0100000001100000110001000
32002221002111010101020000012022
41202231101330200030012020
5423400111134011122212
64135144022420304012
7160304102222021345
oct14255217440140610
92087074111200168
10434120203223432
11116362387258190
12408334a1842008
1315830489ab532b
14792b75c25b7cc
15352c6e1b0c772
hex18ad47c80c188

434120203223432 has 32 divisors (see below), whose sum is σ = 889916191492320. Its totient is φ = 196895576538240.

The previous prime is 434120203223383. The next prime is 434120203223479. The reversal of 434120203223432 is 234322302021434.

It is a super-3 number, since 3×4341202032234323 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434120203223392 and 434120203223401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5397316598 + ... + 5397397029.

It is an arithmetic number, because the mean of its divisors is an integer number (27809880984135).

Almost surely, 2434120203223432 is an apocalyptic number.

It is an amenable number.

434120203223432 is an abundant number, since it is smaller than the sum of its proper divisors (455795988268888).

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

434120203223432 is a wasteful number, since it uses less digits than its factorization.

434120203223432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10794714101 (or 10794714097 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 434120203223432 its reverse (234322302021434), we get a palindrome (668442505244866).

The spelling of 434120203223432 in words is "four hundred thirty-four trillion, one hundred twenty billion, two hundred three million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 457 914 1828 3656 5027 10054 20108 40216 10794713627 21589427254 43178854508 86357709016 118741849897 237483699794 474967399588 949934799176 4933184127539 9866368255078 19732736510156 39465473020312 54265025402929 108530050805858 217060101611716 434120203223432