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14422133448 = 2332141532
BaseRepresentation
bin11010110111010000…
…00100101011001000
31101020002210021210200
431123220010223020
5214014031232243
610343032212200
71020252053202
oct153350045310
941202707720
1014422133448
116130a11358
122965b3a060
13148abcc998
149ab59d772
15596219ad3
hex35ba04ac8

14422133448 has 36 divisors (see below), whose sum is σ = 39062704785. Its totient is φ = 4807038144.

The previous prime is 14422133423. The next prime is 14422133461. The reversal of 14422133448 is 84433122441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 14217700644 + 204432804 = 119238^2 + 14298^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=84918.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1011940 + ... + 1026092.

Almost surely, 214422133448 is an apocalyptic number.

14422133448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14422133448 is an abundant number, since it is smaller than the sum of its proper divisors (24640571337).

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

14422133448 is an frugal number, since it uses more digits than its factorization.

14422133448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28318 (or 14158 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 14422133448 its reverse (84433122441), we get a palindrome (98855255889).

The spelling of 14422133448 in words is "fourteen billion, four hundred twenty-two million, one hundred thirty-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14153 28306 42459 56612 84918 113224 127377 169836 254754 339672 509508 1019016 200307409 400614818 600922227 801229636 1201844454 1602459272 1802766681 2403688908 3605533362 4807377816 7211066724 14422133448