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14434343320240 = 2452938917159871
BaseRepresentation
bin1101001000001100000111…
…1001111111101010110000
31220002220120012111202102001
43102003001321333222300
53342443013342221430
650411013515503344
73016563324560464
oct322030171775260
956086505452361
1014434343320240
114665630557878
121751580457b54
138091ca73374c
1437c8a983c4a4
151a070c8b03ca
hexd20c1e7fab0

14434343320240 has 80 divisors (see below), whose sum is σ = 34718193607680. Its totient is φ = 5574464824320.

The previous prime is 14434343320237. The next prime is 14434343320253. The reversal of 14434343320240 is 4202334343441.

14434343320240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14434343320240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90207505 + ... + 90367375.

It is an arithmetic number, because the mean of its divisors is an integer number (433977420096).

Almost surely, 214434343320240 is an apocalyptic number.

14434343320240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434343320240 is an abundant number, since it is smaller than the sum of its proper divisors (20283850287440).

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

14434343320240 is a wasteful number, since it uses less digits than its factorization.

14434343320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198830 (or 198824 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 14434343320240 its reverse (4202334343441), we get a palindrome (18636677663681).

It can be divided in two parts, 1443434 and 3320240, that added together give a palindrome (4763674).

The spelling of 14434343320240 in words is "fourteen trillion, four hundred thirty-four billion, three hundred forty-three million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 38917 77834 155668 159871 194585 311336 319742 389170 622672 639484 778340 799355 1128593 1278968 1556680 1598710 2257186 2557936 3113360 3197420 4514372 4636259 5642965 6394840 9028744 9272518 11285930 12789680 18057488 18545036 22571860 23181295 37090072 45143720 46362590 74180144 90287440 92725180 185450360 370900720 6221699707 12443399414 24886798828 31108498535 49773597656 62216997070 99547195312 124433994140 180429291503 248867988280 360858583006 497735976560 721717166012 902146457515 1443434332024 1804292915030 2886868664048 3608585830060 7217171660120 14434343320240