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434342024144 = 24717228120811
BaseRepresentation
bin1100101001000001100…
…11010101001111010000
31112112010001010221201222
412110200303111033100
524104013024233034
6531311200544212
743244254201250
oct6244063251720
91475101127658
10434342024144
11158226827436
1270218322068
1331c5c4478a2
1417045153960
15b47180812e
hex6520cd53d0

434342024144 has 40 divisors (see below), whose sum is σ = 1018331304768. Its totient is φ = 175196782080.

The previous prime is 434342024099. The next prime is 434342024153. The reversal of 434342024144 is 441420243434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114058502 + ... + 114062309.

Almost surely, 2434342024144 is an apocalyptic number.

It is an amenable number.

434342024144 is an abundant number, since it is smaller than the sum of its proper divisors (583989280624).

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

434342024144 is a wasteful number, since it uses less digits than its factorization.

434342024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228120843 (or 228120837 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 434342024144 its reverse (441420243434), we get a palindrome (875762267578).

The spelling of 434342024144 in words is "four hundred thirty-four billion, three hundred forty-two million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 228120811 456241622 912483244 1596845677 1824966488 3193691354 3649932976 3878053787 6387382708 7756107574 12774765416 15512215148 25549530832 27146376509 31024430296 54292753018 62048860592 108585506036 217171012072 434342024144