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35343400014013 = 721355484144449
BaseRepresentation
bin10000000100101000001101…
…10011011001000010111101
311122010210111022112001112211
420002110012303121002331
514113031240400422023
6203100311145500421
710305322254201100
oct1002240663310275
9148123438461484
1035343400014013
11102970629a8793
123b699551a1711
131694b39913980
148a28b5c14737
15414569deca0d
hex202506cd90bd

35343400014013 has 12 divisors (see below), whose sum is σ = 44276347271100. Its totient is φ = 27964008801792.

The previous prime is 35343400013989. The next prime is 35343400014023. The reversal of 35343400014013 is 31041000434353.

It can be written as a sum of positive squares in 2 ways, for example, as 15293441526489 + 20049958487524 = 3910683^2 + 4477718^2 .

It is not a de Polignac number, because 35343400014013 - 225 = 35343366459581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35343400014023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27742071588 + ... + 27742072861.

It is an arithmetic number, because the mean of its divisors is an integer number (3689695605925).

Almost surely, 235343400014013 is an apocalyptic number.

It is an amenable number.

35343400014013 is a deficient number, since it is larger than the sum of its proper divisors (8932947257087).

35343400014013 is a wasteful number, since it uses less digits than its factorization.

35343400014013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55484144476 (or 55484144469 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 35343400014013 its reverse (31041000434353), we get a palindrome (66384400448366).

The spelling of 35343400014013 in words is "thirty-five trillion, three hundred forty-three billion, four hundred million, fourteen thousand, thirteen".

Divisors: 1 7 13 49 91 637 55484144449 388389011143 721293877837 2718723078001 5049057144859 35343400014013