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14123896336 = 24112372732
BaseRepresentation
bin11010010011101100…
…11000111000010000
31100110022121021101201
431021312120320100
5212411204140321
610253300040544
71010001065224
oct151166307020
940408537351
1014123896336
115a98631400
1228a2093154
13144119b414
1497db28784
15579e58291
hex349d98e10

14123896336 has 135 divisors (see below), whose sum is σ = 31343132583. Its totient is φ = 6160872960.

The previous prime is 14123896331. The next prime is 14123896349. The reversal of 14123896336 is 63369832141.

The square root of 14123896336 is 118844.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3523134736 + 10600761600 = 59356^2 + 102960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14123896331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 193477996 + ... + 193478068.

Almost surely, 214123896336 is an apocalyptic number.

14123896336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14123896336 is the 118844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14123896336

14123896336 is an abundant number, since it is smaller than the sum of its proper divisors (17219236247).

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

14123896336 is an equidigital number, since it uses as much as digits as its factorization.

14123896336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 123 counting only the distinct ones).

The product of its digits is 559872, while the sum is 46.

The spelling of 14123896336 in words is "fourteen billion, one hundred twenty-three million, eight hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 37 44 73 74 88 121 146 148 176 242 292 296 407 484 584 592 803 814 968 1168 1369 1606 1628 1936 2701 2738 3212 3256 4477 5329 5402 5476 6424 6512 8833 8954 10658 10804 10952 12848 15059 17666 17908 21316 21608 21904 29711 30118 35332 35816 42632 43216 58619 59422 60236 70664 71632 85264 99937 117238 118844 120472 141328 165649 197173 199874 234476 237688 240944 326821 331298 394346 399748 468952 475376 644809 653642 662596 788692 799496 937904 1099307 1289618 1307284 1325192 1577384 1598992 2168903 2198614 2579236 2614568 2650384 3154768 4337806 4397228 5158472 5229136 7295401 8675612 8794456 10316944 12092377 14590802 17351224 17588912 23857933 24184754 29181604 34702448 47715866 48369508 58363208 80249411 95431732 96739016 116726416 160498822 190863464 193478032 320997644 381726928 641995288 882743521 1283990576 1765487042 3530974084 7061948168 14123896336