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14460442012116 = 223223119314638979
BaseRepresentation
bin1101001001101101010110…
…0000100110100111010100
31220012101221001210200010200
43102123111200212213110
53343404441123341431
650431011345220500
73021506143026252
oct322332540464724
956171831720120
1014460442012116
114675703595311
121756644931730
1380b7c97803a9
1437dc63aa35d2
151a1238c5aee6
hexd26d58269d4

14460442012116 has 72 divisors (see below), whose sum is σ = 38174009590080. Its totient is φ = 4606710708864.

The previous prime is 14460442012099. The next prime is 14460442012147. The reversal of 14460442012116 is 61121024406441.

14460442012116 is a `hidden beast` number, since 1 + 4 + 4 + 604 + 4 + 20 + 1 + 21 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6331686 + ... + 8307293.

It is an arithmetic number, because the mean of its divisors is an integer number (530194577640).

Almost surely, 214460442012116 is an apocalyptic number.

It is an amenable number.

14460442012116 is an abundant number, since it is smaller than the sum of its proper divisors (23713567577964).

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

14460442012116 is a wasteful number, since it uses less digits than its factorization.

14460442012116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14640205 (or 14640200 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 14460442012116 its reverse (61121024406441), we get a palindrome (75581466418557).

The spelling of 14460442012116 in words is "fourteen trillion, four hundred sixty billion, four hundred forty-two million, twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1193 2386 3579 4772 7158 10737 14316 21474 27439 42948 54878 82317 109756 164634 246951 329268 493902 987804 14638979 29277958 43916937 58555916 87833874 131750811 175667748 263501622 336696517 527003244 673393034 1010089551 1346786068 2020179102 3030268653 4040358204 6060537306 12121074612 17464301947 34928603894 52392905841 69857207788 104785811682 157178717523 209571623364 314357435046 401678944781 628714870092 803357889562 1205036834343 1606715779124 2410073668686 3615110503029 4820147337372 7230221006058 14460442012116