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35305435141 = 353267737361
BaseRepresentation
bin100000111000010111…
…100011000000000101
310101010111101221011221
4200320113203000011
51034301142411031
624115154000341
72356621150534
oct407027430005
9111114357157
1035305435141
1113a77aa7a79
126a138760b1
1334385a5632
1419cccd631b
15db97b4a11
hex8385e3005

35305435141 has 8 divisors (see below), whose sum is σ = 35419624344. Its totient is φ = 35191326720.

The previous prime is 35305435129. The next prime is 35305435147. The reversal of 35305435141 is 14153450353.

It can be written as a sum of positive squares in 4 ways, for example, as 506025025 + 34799410116 = 22495^2 + 186546^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 35305435141 - 215 = 35305402373 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35305435097 and 35305435106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35305435147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 926301 + ... + 963661.

It is an arithmetic number, because the mean of its divisors is an integer number (4427453043).

Almost surely, 235305435141 is an apocalyptic number.

It is an amenable number.

35305435141 is a deficient number, since it is larger than the sum of its proper divisors (114189203).

35305435141 is a wasteful number, since it uses less digits than its factorization.

35305435141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40391.

The product of its (nonzero) digits is 54000, while the sum is 34.

Adding to 35305435141 its reverse (14153450353), we get a palindrome (49458885494).

The spelling of 35305435141 in words is "thirty-five billion, three hundred five million, four hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 353 2677 37361 944981 13188433 100015397 35305435141