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14179077097141 = 1119481314095673
BaseRepresentation
bin1100111001010101001011…
…0110101000011010110101
31212012111200021002001021211
43032111102312220122311
53324302222214102031
650053440022441421
72662255514512555
oct316252266503265
955174607061254
1014179077097141
114577349412230
121710000293271
137bb109613318
143703b1869165
15198c6c5a3bb1
hexce552da86b5

14179077097141 has 16 divisors (see below), whose sum is σ = 16285577912640. Its totient is φ = 12209107259520.

The previous prime is 14179077097099. The next prime is 14179077097177.

14179077097141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14179077097141 - 211 = 14179077095093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14179077097181) 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 15 ways as a sum of consecutive naturals, for example, 6041920 + ... + 8053753.

It is an arithmetic number, because the mean of its divisors is an integer number (1017848619540).

Almost surely, 214179077097141 is an apocalyptic number.

14179077097141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14179077097141 is a deficient number, since it is larger than the sum of its proper divisors (2106500815499).

14179077097141 is a wasteful number, since it uses less digits than its factorization.

14179077097141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14100516.

The product of its (nonzero) digits is 3111696, while the sum is 58.

The spelling of 14179077097141 in words is "fourteen trillion, one hundred seventy-nine billion, seventy-seven million, ninety-seven thousand, one hundred forty-one".

Divisors: 1 11 19 209 4813 52943 91447 1005917 14095673 155052403 267817787 2945995657 67842474149 746267215639 1289007008831 14179077097141