Search a number
-
+
144114022010214 = 23259198659683083
BaseRepresentation
bin100000110001001000101001…
…000101101100110101100110
3200220021011110222110111200200
4200301020221011230311212
5122342131004113311324
61230301022344251330
742232615545300024
oct4061105105546546
9626234428414620
10144114022010214
1141a1246041a803
12141b631a470b46
136254b81062b19
142783227a53714
15119db0a710ec9
hex83122916cd66

144114022010214 has 48 divisors (see below), whose sum is σ = 317541433809600. Its totient is φ = 47223496976688.

The previous prime is 144114022010177. The next prime is 144114022010221. The reversal of 144114022010214 is 412010220411441.

144114022010214 is a `hidden beast` number, since 1 + 4 + 4 + 11 + 402 + 20 + 10 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210634317 + ... + 211317399.

It is an arithmetic number, because the mean of its divisors is an integer number (6615446537700).

Almost surely, 2144114022010214 is an apocalyptic number.

144114022010214 is an abundant number, since it is smaller than the sum of its proper divisors (173427411799386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144114022010214 is a wasteful number, since it uses less digits than its factorization.

144114022010214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881809 (or 881806 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 144114022010214 its reverse (412010220411441), we get a palindrome (556124242421655).

The spelling of 144114022010214 in words is "one hundred forty-four trillion, one hundred fourteen billion, twenty-two million, ten thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 198659 397318 595977 683083 1191954 1366166 1787931 2049249 3575862 4098498 6147747 11720881 12295494 23441762 35162643 40301897 70325286 80603794 105487929 120905691 210975858 241811382 362717073 725434146 135700585697 271401171394 407101757091 814203514182 1221305271273 2442610542546 8006334556123 16012669112246 24019003668369 48038007336738 72057011005107 144114022010214