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434478323874434 = 27217373369861053
BaseRepresentation
bin110001011001001111101111…
…0001010000011101010000010
32002222100201111102102000112012
41202302133132022003222002
5423421443101402440214
64140020330404532522
7160342010616232100
oct14262373612035202
92088321442360465
10434478323874434
1111649024a000854
12408909876b1142
131585818cbbb098
147940c12402c70
153536ba1a4003e
hex18b27de283a82

434478323874434 has 48 divisors (see below), whose sum is σ = 802930698607608. Its totient is φ = 175204811755008.

The previous prime is 434478323874403. The next prime is 434478323874467.

It is a happy number.

434478323874434 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 424261331736025 + 10216992138409 = 20597605^2 + 3196403^2 .

It is an unprimeable number.

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, 28711349 + ... + 41149704.

Almost surely, 2434478323874434 is an apocalyptic number.

434478323874434 is a deficient number, since it is larger than the sum of its proper divisors (368452374733174).

434478323874434 is a wasteful number, since it uses less digits than its factorization.

434478323874434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69864819 (or 69864812 counting only the distinct ones).

The product of its digits is 2080899072, while the sum is 68.

The spelling of 434478323874434 in words is "four hundred thirty-four trillion, four hundred seventy-eight billion, three hundred twenty-three million, eight hundred seventy-four thousand, four hundred thirty-four".

Divisors: 1 2 7 14 17 34 49 98 119 238 833 1666 3733 7466 26131 52262 63461 126922 182917 365834 444227 888454 3109589 6219178 69861053 139722106 489027371 978054742 1187637901 2375275802 3423191597 6846383194 8313465307 16626930614 58194257149 116388514298 260791310849 521582621698 1825539175943 3651078351886 4433452284433 8866904568866 12778774231601 25557548463202 31034165991031 62068331982062 217239161937217 434478323874434