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434131220141 = 43531791064201
BaseRepresentation
bin1100101000101000011…
…11001011011010101101
31112111120100111000000022
412110110033023122231
524103100043021031
6531234230411525
743236114325313
oct6242417133255
91474510430008
10434131220141
11158128835253
1270179800ba5
1331c27879aa8
141702515c0b3
15b45d06797b
hex65143cb6ad

434131220141 has 16 divisors (see below), whose sum is σ = 455137911360. Its totient is φ = 413709878400.

The previous prime is 434131220129. The next prime is 434131220209. The reversal of 434131220141 is 141022131434.

It is a cyclic number.

It is not a de Polignac number, because 434131220141 - 214 = 434131203757 is a prime.

It is a super-2 number, since 2×4341312201412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 434131220141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434131220101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124160 + ... + 940041.

It is an arithmetic number, because the mean of its divisors is an integer number (28446119460).

Almost surely, 2434131220141 is an apocalyptic number.

It is an amenable number.

434131220141 is a deficient number, since it is larger than the sum of its proper divisors (21006691219).

434131220141 is a wasteful number, since it uses less digits than its factorization.

434131220141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064476.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 434131220141 its reverse (141022131434), we get a palindrome (575153351575).

The spelling of 434131220141 in words is "four hundred thirty-four billion, one hundred thirty-one million, two hundred twenty thousand, one hundred forty-one".

Divisors: 1 43 53 179 2279 7697 9487 407941 1064201 45760643 56402653 190491979 2425314079 8191155097 10096074887 434131220141