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14042424312 = 23327229137251
BaseRepresentation
bin11010001001111111…
…00110001111111000
31100020122022001210100
431010333212033320
5212224330034222
610241225515400
71004661431400
oct150477461770
940218261710
1014042424312
115a56645254
12287a942b60
13142a344017
14972d9b800
15572c134ac
hex344fe63f8

14042424312 has 144 divisors (see below), whose sum is σ = 45766679400. Its totient is φ = 3873744000.

The previous prime is 14042424293. The next prime is 14042424313. The reversal of 14042424312 is 21342424041.

14042424312 is a `hidden beast` number, since 1 + 404 + 2 + 4 + 243 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042424313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33687 + ... + 170937.

Almost surely, 214042424312 is an apocalyptic number.

14042424312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14042424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22883339700).

14042424312 is an abundant number, since it is smaller than the sum of its proper divisors (31724255088).

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

14042424312 is a wasteful number, since it uses less digits than its factorization.

14042424312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137306 (or 137292 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14042424312 its reverse (21342424041), we get a palindrome (35384848353).

The spelling of 14042424312 in words is "fourteen billion, forty-two million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 252 261 294 348 392 406 441 504 522 588 609 696 812 882 1044 1176 1218 1421 1624 1764 1827 2088 2436 2842 3528 3654 4263 4872 5684 7308 8526 11368 12789 14616 17052 25578 34104 51156 102312 137251 274502 411753 549004 823506 960757 1098008 1235259 1647012 1921514 2470518 2882271 3294024 3843028 3980279 4941036 5764542 6725299 7686056 7960558 8646813 9882072 11529084 11940837 13450598 15921116 17293626 20175897 23058168 23881674 26901196 27861953 31842232 34587252 35822511 40351794 47763348 53802392 55723906 60527691 69174504 71645022 80703588 83585859 95526696 111447812 121055382 143290044 161407176 167171718 195033671 222895624 242110764 250757577 286580088 334343436 390067342 484221528 501515154 585101013 668686872 780134684 1003030308 1170202026 1560269368 1755303039 2006060616 2340404052 3510606078 4680808104 7021212156 14042424312