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434144262441434 = 26013156711441851
BaseRepresentation
bin110001010110110100001011…
…0100010110100100111011010
32002221011210020002212220201112
41202231220112202310213122
5423401004422141111214
64135203042033020322
7160305613354011146
oct14255502642644732
92087153202786645
10434144262441434
11116371603037826
12408380970b46a2
13158328224466bc
14792c9a16b0226
15352d14dde9a3e
hex18ada168b49da

434144262441434 has 16 divisors (see below), whose sum is σ = 652320669388416. Its totient is φ = 216704062260000.

The previous prime is 434144262441403. The next prime is 434144262441467.

It is a happy number.

434144262441434 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4341442624414342 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32222609 + ... + 43664459.

It is an arithmetic number, because the mean of its divisors is an integer number (40770041836776).

Almost surely, 2434144262441434 is an apocalyptic number.

434144262441434 is a deficient number, since it is larger than the sum of its proper divisors (218176406946982).

434144262441434 is a wasteful number, since it uses less digits than its factorization.

434144262441434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11474021.

The product of its digits is 14155776, while the sum is 50.

The spelling of 434144262441434 in words is "four hundred thirty-four trillion, one hundred forty-four billion, two hundred sixty-two million, four hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 601 1202 31567 63134 11441851 18971767 22883702 37943534 6876552451 13753104902 361184910517 722369821034 217072131220717 434144262441434