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14040020241 = 32132912493313
BaseRepresentation
bin11010001001101100…
…11011010100010001
31100020110202221000200
431010312123110101
5212223221121431
610241102205413
71004632126422
oct150466332421
940213687020
1014040020241
115a55253015
122879b83869
1314299b19b0
14972933649
155728daee6
hex344d9b511

14040020241 has 48 divisors (see below), whose sum is σ = 22618050000. Its totient is φ = 8332886016.

The previous prime is 14040020207. The next prime is 14040020263. The reversal of 14040020241 is 14202004041.

14040020241 is a `hidden beast` number, since 1 + 4 + 0 + 400 + 20 + 241 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8433216 + 14031587025 = 2904^2 + 118455^2 .

It is not a de Polignac number, because 14040020241 - 29 = 14040019729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14040020041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4236201 + ... + 4239513.

It is an arithmetic number, because the mean of its divisors is an integer number (471209375).

Almost surely, 214040020241 is an apocalyptic number.

It is an amenable number.

14040020241 is a deficient number, since it is larger than the sum of its proper divisors (8578029759).

14040020241 is a wasteful number, since it uses less digits than its factorization.

14040020241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14040020241 its reverse (14202004041), we get a palindrome (28242024282).

The spelling of 14040020241 in words is "fourteen billion, forty million, twenty thousand, two hundred forty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 1249 3313 3393 3747 9939 11241 16237 29817 36221 43069 48711 96077 108663 129207 146133 288231 325989 387621 470873 864693 1249001 1412619 3747003 4137937 4237857 11241009 12413811 37241433 53793181 120000173 161379543 360000519 484138629 1080001557 1560002249 4680006747 14040020241