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14222667312 = 243374703263
BaseRepresentation
bin11010011111011110…
…01010111000110000
31100201012110100201000
431033233022320300
5213112000323222
610311145042000
71012310451240
oct151757127060
940635410630
1014222667312
116039363507
12290b186300
1314587a1699
1498ccb9b20
155839689ac
hex34fbcae30

14222667312 has 80 divisors (see below), whose sum is σ = 46656378880. Its totient is φ = 4063618368.

The previous prime is 14222667311. The next prime is 14222667323. The reversal of 14222667312 is 21376622241.

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 not an unprimeable number, because it can be changed into a prime (14222667311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2348608 + ... + 2354655.

It is an arithmetic number, because the mean of its divisors is an integer number (583204736).

Almost surely, 214222667312 is an apocalyptic number.

14222667312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14222667312 is an abundant number, since it is smaller than the sum of its proper divisors (32433711568).

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

14222667312 is a wasteful number, since it uses less digits than its factorization.

14222667312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703287 (or 4703275 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 14222667312 in words is "fourteen billion, two hundred twenty-two million, six hundred sixty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4703263 9406526 14109789 18813052 28219578 32922841 37626104 42329367 56439156 65845682 75252208 84658734 98768523 112878312 126988101 131691364 169317468 197537046 225756624 253976202 263382728 296305569 338634936 395074092 507952404 526765456 592611138 677269872 790148184 888916707 1015904808 1185222276 1580296368 1777833414 2031809616 2370444552 3555666828 4740889104 7111333656 14222667312