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14245266144 = 253178728717
BaseRepresentation
bin11010100010001010…
…11000001011100000
31100202202222111110210
431101011120023200
5213133242004034
610313313254120
71013003523114
oct152105301340
940682874423
1014245266144
11605009932a
122916864340
131460384985
14991cbd744
1558592e8e9
hex3511582e0

14245266144 has 48 divisors (see below), whose sum is σ = 39593464848. Its totient is φ = 4469102592.

The previous prime is 14245266109. The next prime is 14245266149. The reversal of 14245266144 is 44166254241.

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

It is a super-3 number, since 3×142452661443 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14245266149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4362727 + ... + 4365990.

It is an arithmetic number, because the mean of its divisors is an integer number (824863851).

Almost surely, 214245266144 is an apocalyptic number.

It is an amenable number.

14245266144 is an abundant number, since it is smaller than the sum of its proper divisors (25348198704).

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

14245266144 is a wasteful number, since it uses less digits than its factorization.

14245266144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728747 (or 8728739 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The spelling of 14245266144 in words is "fourteen billion, two hundred forty-five million, two hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 8728717 17457434 26186151 34914868 52372302 69829736 104744604 139659472 148388189 209489208 279318944 296776378 418978416 445164567 593552756 837956832 890329134 1187105512 1780658268 2374211024 3561316536 4748422048 7122633072 14245266144