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14244222002320 = 2451733229744729
BaseRepresentation
bin1100111101000111110111…
…0010101110010010010000
31212102201211022201010010201
43033101331302232102100
53331334131313033240
650143412200104544
73000053046205042
oct317217562562220
955381738633121
1014244222002320
1145a1a38a79742
121720761165154
137c42bbc35cab
143735d173da92
1519a7d1832d9a
hexcf47dcae490

14244222002320 has 80 divisors (see below), whose sum is σ = 33152093598960. Its totient is φ = 5691794726912.

The previous prime is 14244222002299. The next prime is 14244222002347. The reversal of 14244222002320 is 2320022244241.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13190063104 + 14231031939216 = 114848^2 + 3772404^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318433716 + ... + 318478444.

It is an arithmetic number, because the mean of its divisors is an integer number (414401169987).

Almost surely, 214244222002320 is an apocalyptic number.

14244222002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14244222002320 is an abundant number, since it is smaller than the sum of its proper divisors (18907871596640).

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

14244222002320 is a wasteful number, since it uses less digits than its factorization.

14244222002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48772 (or 48766 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 14244222002320 its reverse (2320022244241), we get a palindrome (16564244246561).

The spelling of 14244222002320 in words is "fourteen trillion, two hundred forty-four billion, two hundred twenty-two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1733 2297 3466 4594 6932 8665 9188 11485 13864 17330 18376 22970 27728 34660 36752 44729 45940 69320 89458 91880 138640 178916 183760 223645 357832 447290 715664 894580 1789160 3578320 3980701 7961402 15922804 19903505 31845608 39807010 63691216 77515357 79614020 102742513 155030714 159228040 205485026 310061428 318456080 387576785 410970052 513712565 620122856 775153570 821940104 1027425130 1240245712 1550307140 1643880208 2054850260 3100614280 4109700520 6201228560 8219401040 178052775029 356105550058 712211100116 890263875145 1424422200232 1780527750290 2848844400464 3561055500580 7122111001160 14244222002320