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2034410142141 = 33139835896277
BaseRepresentation
bin11101100110101100010…
…010110011100110111101
321012111011112121012001000
4131212230102303212331
5231312432444022031
64154332313440513
7266660402613126
oct35465422634675
97174145535030
102034410142141
11714874540993
1228a347a10139
13119ac8500920
14706748d304d
1537dbdd953e6
hex1d9ac4b39bd

2034410142141 has 32 divisors (see below), whose sum is σ = 3249085029120. Its totient is φ = 1250670894912.

The previous prime is 2034410142139. The next prime is 2034410142173. The reversal of 2034410142141 is 1412410144302.

2034410142141 is a `hidden beast` number, since 2 + 0 + 3 + 441 + 0 + 1 + 4 + 214 + 1 = 666.

It is not a de Polignac number, because 2034410142141 - 21 = 2034410142139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034410142181) 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, 2603106 + ... + 3293171.

It is an arithmetic number, because the mean of its divisors is an integer number (101533907160).

Almost surely, 22034410142141 is an apocalyptic number.

It is an amenable number.

2034410142141 is a deficient number, since it is larger than the sum of its proper divisors (1214674886979).

2034410142141 is a wasteful number, since it uses less digits than its factorization.

2034410142141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897282 (or 5897276 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2034410142141 its reverse (1412410144302), we get a palindrome (3446820286443).

The spelling of 2034410142141 in words is "two trillion, thirty-four billion, four hundred ten million, one hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 117 351 983 2949 8847 12779 26541 38337 115011 345033 5896277 17688831 53066493 76651601 159199479 229954803 689864409 2069593227 5796040291 17388120873 52164362619 75348523783 156493087857 226045571349 678136714047 2034410142141