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344924000047 = 111371917571583
BaseRepresentation
bin1010000010011110001…
…00101000111100101111
31012222022100100200110201
411001033010220330233
521122401021000142
6422242250214331
733630352424404
oct5011704507457
91188270320421
10344924000047
11123310673470
1256a224243a7
13266ac080263
14129a166a2ab
158e8b5d8ab7
hex504f128f2f

344924000047 has 32 divisors (see below), whose sum is σ = 381756063744. Its totient is φ = 309044332800.

The previous prime is 344923999951. The next prime is 344924000063. The reversal of 344924000047 is 740000429443.

It is a cyclic number.

It is not a de Polignac number, because 344924000047 - 27 = 344923999919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344924000077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217891818 + ... + 217893400.

It is an arithmetic number, because the mean of its divisors is an integer number (11929876992).

Almost surely, 2344924000047 is an apocalyptic number.

344924000047 is a deficient number, since it is larger than the sum of its proper divisors (36832063697).

344924000047 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (344924000046) it forms an eRAP, since the sums of their prime factors are consecutive (2678 and 2679).

344924000047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679.

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 344924000047 in words is "three hundred forty-four billion, nine hundred twenty-four million, forty-seven", and thus it is an aban number.

Divisors: 1 11 137 191 757 1507 1583 2101 8327 17413 26167 103709 144587 216871 287837 302353 1140799 1198331 1590457 2385581 3325883 13181641 19808419 41422361 164171347 217892609 228881221 455645971 1805884817 2517693431 31356727277 344924000047