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14894306016912 = 2432727075458477
BaseRepresentation
bin1101100010111101100111…
…0100011011111010010000
31221201212210210110201121100
43120233121310123322100
53423012014320020122
651402203312424400
73065035534152240
oct330573164337220
957655723421540
1014894306016912
1148227044a8733
121806748b48100
138406b0b6a99a
14396c61543b20
151ac67d5ddaac
hexd8bd9d1be90

14894306016912 has 120 divisors (see below), whose sum is σ = 47655744358976. Its totient is φ = 4253943184128.

The previous prime is 14894306016899. The next prime is 14894306016913. The reversal of 14894306016912 is 21961060349841.

14894306016912 is a `hidden beast` number, since 1 + 4 + 89 + 430 + 60 + 1 + 69 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (14894306016913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583 + ... + 5457894.

Almost surely, 214894306016912 is an apocalyptic number.

14894306016912 is a gapful number since it is divisible by the number (12) 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 14894306016912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23827872179488).

14894306016912 is an abundant number, since it is smaller than the sum of its proper divisors (32761438342064).

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

14894306016912 is a wasteful number, since it uses less digits than its factorization.

14894306016912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461205 (or 5461196 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 14894306016912 in words is "fourteen trillion, eight hundred ninety-four billion, three hundred six million, sixteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2707 5414 8121 10828 16242 18949 21656 24363 32484 37898 43312 48726 56847 64968 75796 97452 113694 129936 151592 170541 194904 227388 303184 341082 389808 454776 682164 909552 1364328 2728656 5458477 10916954 16375431 21833908 32750862 38209339 43667816 49126293 65501724 76418678 87335632 98252586 114628017 131003448 152837356 196505172 229256034 262006896 305674712 343884051 393010344 458512068 611349424 687768102 786020688 917024136 1375536204 1834048272 2751072408 5502144816 14776097239 29552194478 44328291717 59104388956 88656583434 103432680673 118208777912 132984875151 177313166868 206865361346 236417555824 265969750302 310298042019 354626333736 413730722692 531939500604 620596084038 709252667472 827461445384 930894126057 1063879001208 1241192168076 1654922890768 1861788252114 2127758002416 2482384336152 3723576504228 4964768672304 7447153008456 14894306016912