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1435140415341 = 322937148611413
BaseRepresentation
bin10100111000100101000…
…010001101111101101101
312002012100101212212001100
4110320211002031331231
5142003131421242331
63015143331433313
7205454055153363
oct24704502157555
95065311785040
101435140415341
11503704394466
121b2181755839
13a5443c51c49
144d665627633
15274e81c9ae6
hex14e2508df6d

1435140415341 has 24 divisors (see below), whose sum is σ = 2202421155480. Its totient is φ = 898801819776.

The previous prime is 1435140415297. The next prime is 1435140415363.

1435140415341 is a `hidden beast` number, since 1 + 43 + 5 + 1 + 40 + 41 + 534 + 1 = 666.

1435140415341 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 288465668100 + 1146674747241 = 537090^2 + 1070829^2 .

It is not a de Polignac number, because 1435140415341 - 27 = 1435140415213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1435140415296 and 1435140415305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1435140415381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74296050 + ... + 74315363.

It is an arithmetic number, because the mean of its divisors is an integer number (91767548145).

Almost surely, 21435140415341 is an apocalyptic number.

It is an amenable number.

1435140415341 is a deficient number, since it is larger than the sum of its proper divisors (767280740139).

1435140415341 is a wasteful number, since it uses less digits than its factorization.

1435140415341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148611485 (or 148611482 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1435140415341 in words is "one trillion, four hundred thirty-five billion, one hundred forty million, four hundred fifteen thousand, three hundred forty-one".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 9657 148611413 445834239 1337502717 4309730977 5498622281 12929192931 16495866843 38787578793 49487600529 159460046149 478380138447 1435140415341