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14399494253928 = 2332728731467471
BaseRepresentation
bin1101000110001010010010…
…1111010110110101101000
31212222120121111211202120100
43101202210233112311220
53341410131012111203
650343011503225400
73014220614443200
oct321424457266550
955876544752510
1014399494253928
114651878126523
1217468755a8260
13805b35877954
1437ad213c1400
1519e86d1e5ea3
hexd18a4bd6d68

14399494253928 has 144 divisors (see below), whose sum is σ = 45371046576960. Its totient is φ = 4113661204800.

The previous prime is 14399494253927. The next prime is 14399494253929. The reversal of 14399494253928 is 82935249499341.

14399494253928 is a `hidden beast` number, since 1 + 4 + 3 + 9 + 9 + 49 + 42 + 539 + 2 + 8 = 666.

14399494253928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14399494253927) and next prime (14399494253929).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (14399494253923) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30569233 + ... + 31036703.

It is an arithmetic number, because the mean of its divisors is an integer number (315076712340).

Almost surely, 214399494253928 is an apocalyptic number.

14399494253928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14399494253928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685523288480).

14399494253928 is an abundant number, since it is smaller than the sum of its proper divisors (30971552323032).

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

14399494253928 is a wasteful number, since it uses less digits than its factorization.

14399494253928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476228 (or 476214 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 14399494253928 in words is "fourteen trillion, three hundred ninety-nine billion, four hundred ninety-four million, two hundred fifty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 8731 17462 26193 34924 52386 61117 69848 78579 104772 122234 157158 183351 209544 244468 314316 366702 427819 467471 488936 550053 628632 733404 855638 934942 1100106 1283457 1402413 1466808 1711276 1869884 2200212 2566914 2804826 3272297 3422552 3739768 3850371 4207239 4400424 5133828 5609652 6544594 7700742 8414478 9816891 10267656 11219304 13089188 15401484 16828956 19633782 22906079 26178376 29450673 30802968 33657912 39267564 45812158 58901346 68718237 78535128 91624316 117802692 137436474 183248632 206154711 235605384 274872948 412309422 549745896 824618844 1649237688 4081489301 8162978602 12244467903 16325957204 24488935806 28570425107 32651914408 36733403709 48977871612 57140850214 73466807418 85711275321 97955743224 114281700428 146933614836 171422550642 199992975749 228563400856 257133825963 293867229672 342845101284 399985951498 514267651926 599978927247 685690202568 799971902996 1028535303852 1199957854494 1599943805992 1799936781741 2057070607704 2399915708988 3599873563482 4799831417976 7199747126964 14399494253928