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14444144160 = 253530091967
BaseRepresentation
bin11010111001111000…
…00010011000100000
31101021122012112211020
431130330002120200
5214040200103120
610345140045440
71020640125315
oct153474023040
941248175736
1014444144160
116142385326
122971393880
131492638384
149b048cd0c
15598116640
hex35cf02620

14444144160 has 48 divisors (see below), whose sum is σ = 45499055616. Its totient is φ = 3851771648.

The previous prime is 14444144153. The next prime is 14444144171. The reversal of 14444144160 is 6144144441.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15045504 + ... + 15046463.

It is an arithmetic number, because the mean of its divisors is an integer number (947896992).

Almost surely, 214444144160 is an apocalyptic number.

14444144160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444144160 is an abundant number, since it is smaller than the sum of its proper divisors (31054911456).

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

14444144160 is a wasteful number, since it uses less digits than its factorization.

14444144160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30091985 (or 30091977 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 14444144160 in words is "fourteen billion, four hundred forty-four million, one hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 30091967 60183934 90275901 120367868 150459835 180551802 240735736 300919670 361103604 451379505 481471472 601839340 722207208 902759010 962942944 1203678680 1444414416 1805518020 2407357360 2888828832 3611036040 4814714720 7222072080 14444144160