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1434140414341 = 193124116076287
BaseRepresentation
bin10100110111101001011…
…011100001000110000101
312002002202201012112120021
4110313221123201012011
5141444104421224331
63014500210135141
7205420223246515
oct24675133410605
95062681175507
101434140414341
1150324096a958
121b1b428814b1
13a5314a1448b
144d5ac8b9845
152748a4e8211
hex14de96e1185

1434140414341 has 32 divisors (see below), whose sum is σ = 1566007787520. Its totient is φ = 1308352953600.

The previous prime is 1434140414323. The next prime is 1434140414351.

1434140414341 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1434140414341 - 29 = 1434140413829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1434140414297 and 1434140414306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434140414321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228108900 + ... + 228115186.

It is an arithmetic number, because the mean of its divisors is an integer number (48937743360).

Almost surely, 21434140414341 is an apocalyptic number.

It is an amenable number.

1434140414341 is a deficient number, since it is larger than the sum of its proper divisors (131867373179).

1434140414341 is a wasteful number, since it uses less digits than its factorization.

1434140414341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8185.

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 1434140 and 414341, that added together give a palindrome (1848481).

The spelling of 1434140414341 in words is "one trillion, four hundred thirty-four billion, one hundred forty million, four hundred fourteen thousand, three hundred forty-one".

Divisors: 1 19 31 241 589 1607 4579 6287 7471 30533 49817 119453 141949 194897 387287 946523 1515167 3703043 7358453 10103209 12005897 28788173 46970177 191960971 228112043 313199479 892433363 2434873369 5950790101 46262594011 75481074439 1434140414341