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434144525441434 = 23132092182091323
BaseRepresentation
bin110001010110110100010011…
…0001110000101100110011010
32002221011210220102202200220021
41202231220212032011212122
5423401010442003111214
64135203124110021054
7160305623026326043
oct14255504616054632
92087153812680807
10434144525441434
1111637172853a5a5
124083814b1a778a
1315832864a8b2c2
14792c9c85b18ca
15352d16704a924
hex18ada2638599a

434144525441434 has 16 divisors (see below), whose sum is σ = 672433262403840. Its totient is φ = 210004468829280.

The previous prime is 434144525441357. The next prime is 434144525441447.

434144525441434 is nontrivially palindromic in base 10.

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 7 ways as a sum of consecutive naturals, for example, 1090846704 + ... + 1091244619.

It is an arithmetic number, because the mean of its divisors is an integer number (42027078900240).

Almost surely, 2434144525441434 is an apocalyptic number.

434144525441434 is a deficient number, since it is larger than the sum of its proper divisors (238288736962406).

434144525441434 is a wasteful number, since it uses less digits than its factorization.

434144525441434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182094565.

The product of its digits is 29491200, while the sum is 52.

The spelling of 434144525441434 in words is "four hundred thirty-four trillion, one hundred forty-four billion, five hundred twenty-five million, four hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 31 62 3209 6418 99479 198958 2182091323 4364182646 67644831013 135289662026 7002331055507 14004662111014 217072262720717 434144525441434