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14112432605601 = 321131431011058803
BaseRepresentation
bin1100110101011100111010…
…0010000100100110100001
31211222010122200201002200100
43031113032202010212201
53322204230221334401
650003055000013013
72654406143624451
oct315271642044641
954863580632610
1014112432605601
11455105a328350
1216bb101161169
137b4a48414745
1436b08c75bd61
1519716b85cb86
hexcd5ce8849a1

14112432605601 has 96 divisors (see below), whose sum is σ = 23721546461184. Its totient is φ = 8004543120000.

The previous prime is 14112432605563. The next prime is 14112432605611. The reversal of 14112432605601 is 10650623421141.

14112432605601 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 2 + 4 + 32 + 60 + 560 + 1 = 666.

It is not a de Polignac number, because 14112432605601 - 231 = 14110285121953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14112432605611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12799266 + ... + 13858068.

It is an arithmetic number, because the mean of its divisors is an integer number (247099442304).

Almost surely, 214112432605601 is an apocalyptic number.

14112432605601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14112432605601 is a deficient number, since it is larger than the sum of its proper divisors (9609113855583).

14112432605601 is a wasteful number, since it uses less digits than its factorization.

14112432605601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058995 (or 1058992 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14112432605601 in words is "fourteen trillion, one hundred twelve billion, four hundred thirty-two million, six hundred five thousand, six hundred one".

Divisors: 1 3 9 11 31 33 43 93 99 101 129 279 303 341 387 473 909 1023 1111 1333 1419 3069 3131 3333 3999 4257 4343 9393 9999 11997 13029 14663 28179 34441 39087 43989 47773 103323 131967 134633 143319 309969 403899 429957 1058803 1211697 1480963 3176409 4442889 9529227 11646833 13328667 32822893 34940499 45528529 98468679 104821497 106939103 136585587 295406037 320817309 361051823 409756761 500813819 962451927 1083155469 1176330133 1411384399 1502441457 3249466407 3315112193 3528990399 4234153197 4507324371 4598381429 9945336579 10586971197 12702459591 13795144287 15525228389 29836009737 36466234123 41385432861 46575685167 50582195719 109398702369 139727055501 142549824299 151746587157 328196107107 427649472897 455239761471 1282948418691 1568048067289 4704144201867 14112432605601