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14112234452144 = 243164154198191
BaseRepresentation
bin1100110101011100001010…
…1110001011010010110000
31211222010010212211212020102
43031113002232023102300
53322203324004432034
650003023200531532
72654401216430543
oct315270256132260
954863125755212
1014112234452144
114550a68496764
1216bb066920ba8
137b4a16355a8a
1436b0702da85a
1519715926a97e
hexcd5c2b8b4b0

14112234452144 has 80 divisors (see below), whose sum is σ = 28277169192960. Its totient is φ = 6815757312000.

The previous prime is 14112234452143. The next prime is 14112234452189. The reversal of 14112234452144 is 44125443221141.

It is a happy number.

It is a super-2 number, since 2×141122344521442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14112234452098 and 14112234452107.

It is not an unprimeable number, because it can be changed into a prime (14112234452143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1722891089 + ... + 1722899279.

It is an arithmetic number, because the mean of its divisors is an integer number (353464614912).

Almost surely, 214112234452144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14112234452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138584596480).

14112234452144 is an abundant number, since it is smaller than the sum of its proper divisors (14164934740816).

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

14112234452144 is a wasteful number, since it uses less digits than its factorization.

14112234452144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14290 (or 14284 counting only the distinct ones).

The product of its digits is 122880, while the sum is 38.

Adding to 14112234452144 its reverse (44125443221141), we get a palindrome (58237677673285).

The spelling of 14112234452144 in words is "fourteen trillion, one hundred twelve billion, two hundred thirty-four million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 641 1282 2564 5128 5419 8191 10256 10838 16382 19871 21676 32764 39742 43352 65528 79484 86704 131056 158968 167989 253921 317936 335978 507842 671956 1015684 1343912 2031368 2687824 3473579 4062736 5250431 6947158 10500862 13894316 21001724 27788632 42003448 44387029 55577264 84006896 88774058 107680949 162763361 177548116 215361898 325526722 355096232 430723796 651053444 710192464 861447592 1302106888 1375997899 1722895184 2604213776 2751995798 5503991596 11007983192 22015966384 28452085589 56904171178 113808342356 227616684712 455233369424 882014653259 1764029306518 3528058613036 7056117226072 14112234452144