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344214102141 = 32713420285839
BaseRepresentation
bin1010000001001001100…
…00100110000001111101
31012220110212120010121200
411000210300212001331
521114422302232031
6422044010450113
733603642410250
oct5004460460175
91186425503550
10344214102141
11122a86983688
1256864733939
13265c7c86920
1412935277097
158e4910d8e6
hex5024c2607d

344214102141 has 24 divisors (see below), whose sum is σ = 611936183040. Its totient is φ = 181563482016.

The previous prime is 344214102077. The next prime is 344214102173. The reversal of 344214102141 is 141201412443.

344214102141 is a `hidden beast` number, since 3 + 442 + 1 + 4 + 1 + 0 + 214 + 1 = 666.

It is not a de Polignac number, because 344214102141 - 26 = 344214102077 is a prime.

It is a super-2 number, since 2×3442141021412 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344214103141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210142101 + ... + 210143738.

It is an arithmetic number, because the mean of its divisors is an integer number (25497340960).

Almost surely, 2344214102141 is an apocalyptic number.

It is an amenable number.

344214102141 is a deficient number, since it is larger than the sum of its proper divisors (267722080899).

344214102141 is a wasteful number, since it uses less digits than its factorization.

344214102141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420285865 (or 420285862 counting only the distinct ones).

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

Adding to 344214102141 its reverse (141201412443), we get a palindrome (485415514584).

The spelling of 344214102141 in words is "three hundred forty-four billion, two hundred fourteen million, one hundred two thousand, one hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 420285839 1260857517 2942000873 3782572551 5463715907 8826002619 16391147721 26478007857 38246011349 49173443163 114738034047 344214102141