Search a number
-
+
14042242029 = 3174761137701
BaseRepresentation
bin11010001001111101…
…11001101111101101
31100020121221210202010
431010332321233231
5212224303221104
610241221551433
71004660042064
oct150476715755
940217853663
1014042242029
115a56530302
12287a875579
13142a2ac06a
14972d511db
15572bc9489
hex344fb9bed

14042242029 has 64 divisors (see below), whose sum is σ = 20757814272. Its totient is φ = 8408064000.

The previous prime is 14042242013. The next prime is 14042242043. The reversal of 14042242029 is 92024224041.

It is not a de Polignac number, because 14042242029 - 24 = 14042242013 is a prime.

It is a super-2 number, since 2×140422420292 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14042241987 and 14042242005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042242229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20031379 + ... + 20032079.

It is an arithmetic number, because the mean of its divisors is an integer number (324340848).

Almost surely, 214042242029 is an apocalyptic number.

It is an amenable number.

14042242029 is a deficient number, since it is larger than the sum of its proper divisors (6715572243).

14042242029 is a wasteful number, since it uses less digits than its factorization.

14042242029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 14042242029 in words is "fourteen billion, forty-two million, two hundred forty-two thousand, twenty-nine".

Divisors: 1 3 17 47 51 61 137 141 183 411 701 799 1037 2103 2329 2397 2867 3111 6439 6987 8357 8601 11917 19317 25071 32947 35751 42761 48739 96037 98841 109463 128283 142069 146217 288111 328389 392779 426207 560099 726937 1178337 1632629 1680297 2009767 2180811 4513739 4897887 5858257 6029301 6677243 13541217 17574771 20031729 34166039 76733563 99590369 102498117 230200689 275338079 298771107 826014237 4680747343 14042242029