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13874244417 = 3211212740353
BaseRepresentation
bin11001110101111100…
…00010101101000001
31022210220211122100100
430322332002231001
5211403301310132
610212421113013
71000550063115
oct147276025501
938726748310
1013874244417
11597a716200
122832558769
13140154b2a7
149588dd745
1556309237c
hex33af82b41

13874244417 has 18 divisors (see below), whose sum is σ = 22028072066. Its totient is φ = 8408632320.

The previous prime is 13874244407. The next prime is 13874244427. The reversal of 13874244417 is 71444247831.

13874244417 is a `hidden beast` number, since 138 + 74 + 2 + 4 + 441 + 7 = 666.

13874244417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13874244407) and next prime (13874244427).

It can be written as a sum of positive squares in only one way, i.e., 8641747521 + 5232496896 = 92961^2 + 72336^2 .

It is not a de Polignac number, because 13874244417 - 212 = 13874240321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13874244407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6369088 + ... + 6371265.

Almost surely, 213874244417 is an apocalyptic number.

It is an amenable number.

13874244417 is a deficient number, since it is larger than the sum of its proper divisors (8153827649).

13874244417 is a wasteful number, since it uses less digits than its factorization.

13874244417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12740381 (or 12740367 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The spelling of 13874244417 in words is "thirteen billion, eight hundred seventy-four million, two hundred forty-four thousand, four hundred seventeen".

Divisors: 1 3 9 11 33 99 121 363 1089 12740353 38221059 114663177 140143883 420431649 1261294947 1541582713 4624748139 13874244417