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13406135506242 = 2329281479572417
BaseRepresentation
bin1100001100010101101111…
…1100011101010101000010
31202110121120122002220120020
43003011123330131111002
53224121231142144432
644302405453554310
72552363351423613
oct303053374352502
952417518086506
1013406135506242
1142a9567aa5806
1216062477a5996
1376326848830b
14344c08dcbc0a
15183acea3322c
hexc315bf1d542

13406135506242 has 64 divisors (see below), whose sum is σ = 27893700172800. Its totient is φ = 4290280816640.

The previous prime is 13406135506223. The next prime is 13406135506243. The reversal of 13406135506242 is 24260553160431.

13406135506242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13406135506194 and 13406135506203.

It is not an unprimeable number, because it can be changed into a prime (13406135506243) 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, 23134018 + ... + 23706434.

It is an arithmetic number, because the mean of its divisors is an integer number (435839065200).

Almost surely, 213406135506242 is an apocalyptic number.

13406135506242 is an abundant number, since it is smaller than the sum of its proper divisors (14487564666558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13406135506242 is a wasteful number, since it uses less digits than its factorization.

13406135506242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573211.

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 13406135506242 its reverse (24260553160431), we get a palindrome (37666688666673).

The spelling of 13406135506242 in words is "thirteen trillion, four hundred six billion, one hundred thirty-five million, five hundred six thousand, two hundred forty-two".

Divisors: 1 2 3 6 29 58 87 174 281 479 562 843 958 1437 1686 2874 8149 13891 16298 24447 27782 41673 48894 83346 134599 269198 403797 572417 807594 1144834 1717251 3434502 3903371 7806742 11710113 16600093 23420226 33200186 49800279 99600558 160849177 274187743 321698354 482547531 548375486 822563229 965095062 1645126458 4664626133 7951444547 9329252266 13993878399 15902889094 23854333641 27987756798 47708667282 77046755783 154093511566 231140267349 462280534698 2234355917707 4468711835414 6703067753121 13406135506242