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13942650241 = 1323122932
BaseRepresentation
bin11001111110000101…
…11111010110000001
31022222200120000111101
430333002333112001
5212023304301431
610223303214401
71002340400032
oct147702772601
938880500441
1013942650241
115a05298543
122851447401
13141277c300
14963a28a89
155690a5961
hex33f0bf581

13942650241 has 27 divisors (see below), whose sum is σ = 15653819817. Its totient is φ = 12412464480.

The previous prime is 13942650233. The next prime is 13942650263. The reversal of 13942650241 is 14205624931.

It is a happy number.

The square root of 13942650241 is 118079.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 356416641 + 13586233600 = 18879^2 + 116560^2 .

It is not a de Polignac number, because 13942650241 - 23 = 13942650233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13942650241.

It is not an unprimeable number, because it can be changed into a prime (13942650341) 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 26 ways as a sum of consecutive naturals, for example, 47585691 + ... + 47585983.

Almost surely, 213942650241 is an apocalyptic number.

13942650241 is the 118079-th square number.

13942650241 is the 59040-th centered octagonal number.

It is an amenable number.

13942650241 is a deficient number, since it is larger than the sum of its proper divisors (1711169576).

13942650241 is an frugal number, since it uses more digits than its factorization.

13942650241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 13942650241 in words is "thirteen billion, nine hundred forty-two million, six hundred fifty thousand, two hundred forty-one".

Divisors: 1 13 31 169 293 403 961 3809 5239 9083 12493 49517 85849 118079 162409 281573 1116037 1535027 2661319 3660449 14508481 34597147 47585837 82500889 449762911 1072511557 13942650241