Search a number
-
+
14121134131420 = 225232712417997
BaseRepresentation
bin1100110101111101010100…
…1011110000100011011100
31211222222010010011102002101
43031133111023300203130
53322330040314201140
650011054235534444
72655134603442421
oct315372513604334
954888103142071
1014121134131420
1145548150974a8
12170092b2ba424
137b58040ac5a4
1436b676279d48
151974ca72c99a
hexcd7d52f08dc

14121134131420 has 72 divisors (see below), whose sum is σ = 31058381666592. Its totient is φ = 5382919048320.

The previous prime is 14121134131417. The next prime is 14121134131421. The reversal of 14121134131420 is 2413143112141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121134131421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33573862 + ... + 33991858.

It is an arithmetic number, because the mean of its divisors is an integer number (431366412036).

Almost surely, 214121134131420 is an apocalyptic number.

14121134131420 is a gapful number since it is divisible by the number (10) 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 14121134131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15529190833296).

14121134131420 is an abundant number, since it is smaller than the sum of its proper divisors (16937247535172).

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

14121134131420 is a wasteful number, since it uses less digits than its factorization.

14121134131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418571 (or 418298 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 14121134131420 its reverse (2413143112141), we get a palindrome (16534277243561).

The spelling of 14121134131420 in words is "fourteen trillion, one hundred twenty-one billion, one hundred thirty-four million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 271 460 542 1084 1355 2710 5420 6233 12466 24932 31165 62330 73441 124660 146882 293764 367205 417997 734410 835994 1468820 1671988 1689143 2089985 3378286 4179970 6756572 8359940 8445715 9613931 16891430 19227862 33782860 38455724 48069655 96139310 113277187 192278620 226554374 453108748 566385935 1132771870 2265543740 2605375301 5210750602 10421501204 13026876505 26053753010 30698117677 52107506020 61396235354 122792470708 153490588385 306981176770 613962353540 706056706571 1412113413142 2824226826284 3530283532855 7060567065710 14121134131420