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14114424 = 2333161311
BaseRepresentation
bin110101110101…
…111001111000
3222120002100110
4311311321320
512103130144
61222304320
7230653632
oct65657170
928502313
1014114424
117a70415
1248880a0
132c0253c
141c35a52
15138c0b9
hexd75e78

14114424 has 64 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 4464000.

The previous prime is 14114413. The next prime is 14114431. The reversal of 14114424 is 42441141.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14114424.

It is a congruent number.

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, 45229 + ... + 45539.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 214114424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

14114424 is an abundant number, since it is smaller than the sum of its proper divisors (23026056).

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

14114424 is a wasteful number, since it uses less digits than its factorization.

14114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 14114424 is about 3756.9168210116. The cubic root of 14114424 is about 241.6690601956.

Adding to 14114424 its reverse (42441141), we get a palindrome (56555565).

The spelling of 14114424 in words is "fourteen million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 311 366 372 488 622 732 744 933 1244 1464 1866 1891 2488 3732 3782 5673 7464 7564 9641 11346 15128 18971 19282 22692 28923 37942 38564 45384 56913 57846 75884 77128 113826 115692 151768 227652 231384 455304 588101 1176202 1764303 2352404 3528606 4704808 7057212 14114424