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14122210302304 = 2513731632852981
BaseRepresentation
bin1100110110000001010101…
…0101000001100101100000
31212000001220010011120000021
43031200111111001211200
53322334241314133204
650011353122003224
72655203351651026
oct315402525014540
955001803146007
1014122210302304
114555217606625
121700b8b7a6514
137b5946038cb0
1436b739174716
1519753ee58154
hexcd815541960

14122210302304 has 96 divisors (see below), whose sum is σ = 30538182384864. Its totient is φ = 6389214474240.

The previous prime is 14122210302283. The next prime is 14122210302311. The reversal of 14122210302304 is 40320301222141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3523494 + ... + 6376474.

It is an arithmetic number, because the mean of its divisors is an integer number (318106066509).

Almost surely, 214122210302304 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 14122210302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269091192432).

14122210302304 is an abundant number, since it is smaller than the sum of its proper divisors (16415972082560).

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

14122210302304 is a wasteful number, since it uses less digits than its factorization.

14122210302304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853240 (or 2853232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14122210302304 its reverse (40320301222141), we get a palindrome (54442511524445).

The spelling of 14122210302304 in words is "fourteen trillion, one hundred twenty-two billion, two hundred ten million, three hundred two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 163 208 292 326 416 584 652 949 1168 1304 1898 2119 2336 2608 3796 4238 5216 7592 8476 11899 15184 16952 23798 30368 33904 47596 67808 95192 154687 190384 309374 380768 618748 1237496 2474992 2852981 4949984 5705962 11411924 22823848 37088753 45647696 74177506 91295392 148355012 208267613 296710024 416535226 465035903 593420048 833070452 930071806 1186840096 1666140904 1860143612 2707478969 3332281808 3720287224 5414957938 6045466739 6664563616 7440574448 10829915876 12090933478 14881148896 21659831752 24181866956 33947620919 43319663504 48363733912 67895241838 86639327008 96727467824 135790483676 193454935648 271580967352 441319071947 543161934704 882638143894 1086323869408 1765276287788 3530552575576 7061105151152 14122210302304