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35340320530431 = 3271737978690413
BaseRepresentation
bin10000000100100010011110…
…10000000101111111111111
311122010111112200221002020100
420002101033100011333333
514113003434023433211
6203055041421452143
710305153042052620
oct1002211720057777
9148114480832210
1035340320530431
111029582268a134
123b69235a11053
131694768920137
148a26a2c3ba47
154144398a8156
hex20244f405fff

35340320530431 has 48 divisors (see below), whose sum is σ = 61787592120384. Its totient is φ = 19001551076352.

The previous prime is 35340320530337. The next prime is 35340320530433. The reversal of 35340320530431 is 13403502304353.

35340320530431 is a `hidden beast` number, since 3 + 5 + 3 + 403 + 205 + 3 + 0 + 43 + 1 = 666.

35340320530431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35340320530431 - 215 = 35340320497663 is a prime.

It is a super-2 number, since 2×353403205304312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35340320530433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278620 + ... + 8411793.

It is an arithmetic number, because the mean of its divisors is an integer number (1287241502508).

Almost surely, 235340320530431 is an apocalyptic number.

35340320530431 is a deficient number, since it is larger than the sum of its proper divisors (26447271589953).

35340320530431 is a wasteful number, since it uses less digits than its factorization.

35340320530431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694240 (or 8694237 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 35340320530431 its reverse (13403502304353), we get a palindrome (48743822834784).

The spelling of 35340320530431 in words is "thirty-five trillion, three hundred forty billion, three hundred twenty million, five hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 3797 11391 26579 34173 64549 79737 193647 239211 451843 580941 1355529 4066587 8690413 26071239 60832891 78213717 147737021 182498673 443211063 547496019 1034159147 1329633189 3102477441 9307432323 32997498161 98992494483 230982487127 296977483449 560957468737 692947461381 1682872406211 2078842384143 3926702281159 5048617218633 11780106843477 35340320530431