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14042145132 = 2232372714013
BaseRepresentation
bin11010001001111101…
…00010000101101100
31100020121202212211100
431010332202011230
5212224242121012
610241215523100
71004656156431
oct150476420554
940217685740
1014042145132
115a56474524
12287a829490
13142a276c22
14972d27b88
15572baa8dc
hex344fa216c

14042145132 has 108 divisors (see below), whose sum is σ = 37003717296. Its totient is φ = 4488946560.

The previous prime is 14042145109. The next prime is 14042145133. The reversal of 14042145132 is 23154124041.

14042145132 is a `hidden beast` number, since 140 + 4 + 2 + 1 + 4 + 513 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14042145096 and 14042145105.

It is not an unprimeable number, because it can be changed into a prime (14042145133) 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, 3497158 + ... + 3501170.

It is an arithmetic number, because the mean of its divisors is an integer number (342627012).

Almost surely, 214042145132 is an apocalyptic number.

14042145132 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 14042145132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18501858648).

14042145132 is an abundant number, since it is smaller than the sum of its proper divisors (22961572164).

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

14042145132 is a wasteful number, since it uses less digits than its factorization.

14042145132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14042145132 its reverse (23154124041), we get a palindrome (37196269173).

The spelling of 14042145132 in words is "fourteen billion, forty-two million, one hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 71 74 111 142 148 213 222 284 333 426 444 639 666 852 1278 1332 1369 2556 2627 2738 4013 4107 5254 5476 7881 8026 8214 10508 12039 12321 15762 16052 16428 23643 24078 24642 31524 36117 47286 48156 49284 72234 94572 97199 144468 148481 194398 284923 291597 296962 388796 445443 569846 583194 593924 854769 874791 890886 1139692 1166388 1336329 1709538 1749582 1781772 2564307 2672658 3419076 3499164 5128614 5345316 5493797 10257228 10542151 10987594 16481391 21084302 21975188 31626453 32962782 42168604 49444173 63252906 65925564 94879359 98888346 126505812 189758718 197776692 379517436 390059587 780119174 1170178761 1560238348 2340357522 3510536283 4680715044 7021072566 14042145132