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1342254034134 = 2321361251374641
BaseRepresentation
bin10011100010000100100…
…100110010110011010110
311202022120222202210021100
4103202010210302303112
5133442414013043014
62504342322130530
7165655210020306
oct23420444626326
94668528683240
101342254034134
11478279456462
1219817a1b0a46
13997601499c0
1448d7325b606
1524dad74e009
hex13884932cd6

1342254034134 has 96 divisors (see below), whose sum is σ = 3195960007968. Its totient is φ = 404611200000.

The previous prime is 1342254034129. The next prime is 1342254034139. The reversal of 1342254034134 is 4314304522431.

1342254034134 is a `hidden beast` number, since 1 + 3 + 42 + 2 + 540 + 3 + 41 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (1342254034129) and next prime (1342254034139).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342254034139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3395454 + ... + 3770094.

It is an arithmetic number, because the mean of its divisors is an integer number (33291250083).

Almost surely, 21342254034134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342254034134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597980003984).

1342254034134 is an abundant number, since it is smaller than the sum of its proper divisors (1853705973834).

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

1342254034134 is a wasteful number, since it uses less digits than its factorization.

1342254034134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374974 (or 374971 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 1342254034134 its reverse (4314304522431), we get a palindrome (5656558556565).

The spelling of 1342254034134 in words is "one trillion, three hundred forty-two billion, two hundred fifty-four million, thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 251 366 502 549 753 793 1098 1506 1586 2259 2379 3263 4518 4758 6526 7137 9789 14274 15311 19578 29367 30622 45933 58734 91866 137799 199043 275598 374641 398086 597129 749282 1123923 1194258 1791387 2247846 3371769 3582774 4870333 6743538 9740666 14610999 22853101 29221998 43832997 45706202 68559303 87665994 94034891 137118606 188069782 205677909 282104673 297090313 411355818 564209346 594180626 846314019 891270939 1222453583 1692628038 1782541878 2444907166 2673812817 3667360749 5347625634 5736128351 7334721498 11002082247 11472256702 17208385053 22004164494 34416770106 51625155159 74569668563 103250310318 149139337126 223709005689 447418011378 671127017067 1342254034134