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434144421231 = 31671914536941
BaseRepresentation
bin1100101000101010000…
…01100010010101101111
31112111121021022200111120
412110111001202111233
524103111432434411
6531235421352023
743236334456413
oct6242501422557
91474537280446
10434144421231
11158135231444
1270182108613
1331c2a51c6a1
1417026bd6d43
15b45e2c4106
hex651506256f

434144421231 has 16 divisors (see below), whose sum is σ = 585374404608. Its totient is φ = 286190175200.

The previous prime is 434144421211. The next prime is 434144421233. The reversal of 434144421231 is 132124441434.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 434144421231 - 215 = 434144388463 is a prime.

It is a super-2 number, since 2×4341444212312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434144421192 and 434144421201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434144421233) 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, 2172780 + ... + 2364161.

It is an arithmetic number, because the mean of its divisors is an integer number (36585900288).

Almost surely, 2434144421231 is an apocalyptic number.

434144421231 is a deficient number, since it is larger than the sum of its proper divisors (151229983377).

434144421231 is a wasteful number, since it uses less digits than its factorization.

434144421231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537302.

The product of its digits is 36864, while the sum is 33.

Adding to 434144421231 its reverse (132124441434), we get a palindrome (566268862665).

The spelling of 434144421231 in words is "four hundred thirty-four billion, one hundred forty-four million, four hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 167 191 501 573 31897 95691 4536941 13610823 757669147 866555731 2273007441 2599667193 144714807077 434144421231