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14146612738416 = 2432149867655517
BaseRepresentation
bin1100110111011100001111…
…0100111011100101110000
31212002101212202122202021100
43031313003310323211300
53323234230330112131
650030510354524400
72660026152150444
oct315670364734560
955071782582240
1014146612738416
1145645aa0a8aa4
12170585bb96700
137b803481a6c2
1436c9b200a824
15197ebc43e7e6
hexcddc3d3b970

14146612738416 has 60 divisors (see below), whose sum is σ = 39591192164472. Its totient is φ = 4715498921088.

The previous prime is 14146612738397. The next prime is 14146612738417. The reversal of 14146612738416 is 61483721664141.

14146612738416 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 6 + 612 + 7 + 3 + 8 + 4 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14146612738417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21253090 + ... + 21908606.

Almost surely, 214146612738416 is an apocalyptic number.

14146612738416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14146612738416 is an abundant number, since it is smaller than the sum of its proper divisors (25444579426056).

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

14146612738416 is a wasteful number, since it uses less digits than its factorization.

14146612738416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805398 (or 805389 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 14146612738416 in words is "fourteen trillion, one hundred forty-six billion, six hundred twelve million, seven hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149867 299734 449601 599468 655517 899202 1198936 1311034 1348803 1798404 1966551 2397872 2622068 2697606 3596808 3933102 5244136 5395212 5899653 7193616 7866204 10488272 10790424 11799306 15732408 21580848 23598612 31464816 47197224 94394448 98240366239 196480732478 294721098717 392961464956 589442197434 785922929912 884163296151 1178884394868 1571845859824 1768326592302 2357768789736 3536653184604 4715537579472 7073306369208 14146612738416