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1044314101341 = 32794731749859
BaseRepresentation
bin11110011001001011111…
…10001001011001011101
310200211120001020000110200
433030211332021121131
5114102223402220331
62115430135254113
7135310035253530
oct17144576113135
93624501200420
101044314101341
113729890a3145
1214a48a81a339
137762b066b94
143878b96ca17
151c271d6a5e6
hexf325f8965d

1044314101341 has 24 divisors (see below), whose sum is σ = 1724130058560. Its totient is φ = 596687579136.

The previous prime is 1044314101331. The next prime is 1044314101357. The reversal of 1044314101341 is 1431014134401.

1044314101341 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 314 + 1 + 0 + 1 + 341 = 666.

It is not a de Polignac number, because 1044314101341 - 211 = 1044314099293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044314101331) 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 23 ways as a sum of consecutive naturals, for example, 278131 + ... + 1471728.

It is an arithmetic number, because the mean of its divisors is an integer number (71838752440).

Almost surely, 21044314101341 is an apocalyptic number.

It is an amenable number.

1044314101341 is a deficient number, since it is larger than the sum of its proper divisors (679815957219).

1044314101341 is a wasteful number, since it uses less digits than its factorization.

1044314101341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759345 (or 1759342 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1044314101341 its reverse (1431014134401), we get a palindrome (2475328235742).

The spelling of 1044314101341 in words is "one trillion, forty-four billion, three hundred fourteen million, one hundred one thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 63 9473 28419 66311 85257 198933 596799 1749859 5249577 12249013 15748731 36747039 110241117 16576414307 49729242921 116034900149 149187728763 348104700447 1044314101341