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14441674848 = 253619072719
BaseRepresentation
bin11010111001100101…
…00111100001100000
31101021110120002120020
431130302213201200
5214034032043343
610345011113440
71020610132206
oct153462474140
941243502506
1014441674848
116140a49077
1229705a2880
131491c82443
149b0009076
15597cc9b83
hex35cca7860

14441674848 has 96 divisors (see below), whose sum is σ = 38587530240. Its totient is φ = 4728015360.

The previous prime is 14441674847. The next prime is 14441674859. The reversal of 14441674848 is 84847614441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 14441674848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14441674847) 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, 5310033 + ... + 5312751.

It is an arithmetic number, because the mean of its divisors is an integer number (401953440).

Almost surely, 214441674848 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 14441674848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19293765120).

14441674848 is an abundant number, since it is smaller than the sum of its proper divisors (24145855392).

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

14441674848 is a wasteful number, since it uses less digits than its factorization.

14441674848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3692 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 51.

The spelling of 14441674848 in words is "fourteen billion, four hundred forty-one million, six hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 907 976 1464 1814 1952 2719 2721 2928 3628 5438 5442 5856 7256 8157 10876 10884 14512 16314 21752 21768 29024 32628 43504 43536 55327 65256 87008 87072 110654 130512 165859 165981 221308 261024 331718 331962 442616 497577 663436 663924 885232 995154 1326872 1327848 1770464 1990308 2466133 2653744 2655696 3980616 4932266 5307488 5311392 7398399 7961232 9864532 14796798 15922464 19729064 29593596 39458128 59187192 78916256 118374384 150434113 236748768 300868226 451302339 601736452 902604678 1203472904 1805209356 2406945808 3610418712 4813891616 7220837424 14441674848