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14022234102304 = 2547103143962903
BaseRepresentation
bin1100110000001100111001…
…0010000101101000100000
31211122111211121022101020001
43030003032102011220200
53314220013412233204
645453420405025344
72645034014166211
oct314031622055040
954574747271201
1014022234102304
11451688365684a
1216a57299b5254
137a93a24404bc
1436697334b408
15194b3cd704a4
hexcc0ce485a20

14022234102304 has 96 divisors (see below), whose sum is σ = 28487601192960. Its totient is φ = 6790493321472.

The previous prime is 14022234102293. The next prime is 14022234102347. The reversal of 14022234102304 is 40320143222041.

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, 222886917 + ... + 222949819.

It is an arithmetic number, because the mean of its divisors is an integer number (296745845760).

Almost surely, 214022234102304 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 14022234102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14243800596480).

14022234102304 is an abundant number, since it is smaller than the sum of its proper divisors (14465367090656).

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

14022234102304 is a wasteful number, since it uses less digits than its factorization.

14022234102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64502 (or 64494 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14022234102304 its reverse (40320143222041), we get a palindrome (54342377324345).

The spelling of 14022234102304 in words is "fourteen trillion, twenty-two billion, two hundred thirty-four million, one hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 47 94 103 188 206 376 412 752 824 1439 1504 1648 2878 3296 4841 5756 9682 11512 19364 23024 38728 46048 62903 67633 77456 125806 135266 148217 154912 251612 270532 296434 503224 541064 592868 1006448 1082128 1185736 2012896 2164256 2371472 2956441 4742944 5912882 6479009 6966199 11825764 12958018 13932398 23651528 25916036 27864796 47303056 51832072 55729592 90517417 94606112 103664144 111459184 181034834 207328288 222918368 304513423 362069668 609026846 724139336 1218053692 1448278672 2436107384 2896557344 4254318599 4872214768 8508637198 9323293951 9744429536 17017274396 18646587902 34034548792 37293175804 68069097584 74586351608 136138195168 149172703216 298345406432 438194815697 876389631394 1752779262788 3505558525576 7011117051152 14022234102304