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14414031422224 = 247222980284909
BaseRepresentation
bin1101000111000000011100…
…1110010000001100010000
31220000222010122002102111221
43101300013032100030100
53342124414021002344
650353414205214424
73015244064361100
oct321600716201420
956028118072457
1014414031422224
114657a57a681a5
121749651b61414
13807311553595
1437b8ddd67200
1519ee1e585184
hexd1c07390310

14414031422224 has 60 divisors (see below), whose sum is σ = 32628590273100. Its totient is φ = 6150466232064.

The previous prime is 14414031422221. The next prime is 14414031422227. The reversal of 14414031422224 is 42222413041441.

It is an interprime number because it is at equal distance from previous prime (14414031422221) and next prime (14414031422227).

It can be written as a sum of positive squares in 2 ways, for example, as 13609960532224 + 804070890000 = 3689168^2 + 896700^2 .

It is a super-2 number, since 2×144140314222242 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14414031422224.

It is not an unprimeable number, because it can be changed into a prime (14414031422221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39962919 + ... + 40321990.

It is an arithmetic number, because the mean of its divisors is an integer number (543809837885).

Almost surely, 214414031422224 is an apocalyptic number.

14414031422224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14414031422224 is an abundant number, since it is smaller than the sum of its proper divisors (18214558850876).

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

14414031422224 is a wasteful number, since it uses less digits than its factorization.

14414031422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80285160 (or 80285147 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 14414031422224 its reverse (42222413041441), we get a palindrome (56636444463665).

The spelling of 14414031422224 in words is "fourteen trillion, four hundred fourteen billion, thirty-one million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 229 392 458 784 916 1603 1832 3206 3664 6412 11221 12824 22442 25648 44884 89768 179536 80284909 160569818 321139636 561994363 642279272 1123988726 1284558544 2247977452 3933960541 4495954904 7867921082 8991909808 15735842164 18385244161 31471684328 36770488322 62943368656 73540976644 128696709127 147081953288 257393418254 294163906576 514786836508 900876963889 1029573673016 1801753927778 2059147346032 3603507855556 7207015711112 14414031422224