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14048812535148 = 22321279305117117
BaseRepresentation
bin1100110001101111111001…
…1110110000110101101100
31211202001102220022122211200
43030123332132300311230
53320133432002111043
645513534013045500
72646664446143466
oct314337636606554
954661386278750
1014048812535148
114527082473826
1216aa906a86890
137aba4999ac41
14367d751b3136
151956963d17d3
hexcc6fe7b0d6c

14048812535148 has 36 divisors (see below), whose sum is σ = 35540041904640. Its totient is φ = 4679276090976.

The previous prime is 14048812535081. The next prime is 14048812535209. The reversal of 14048812535148 is 84153521884041.

14048812535148 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 88 + 12 + 535 + 14 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 14048812535094 and 14048812535103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152512515 + ... + 152604602.

It is an arithmetic number, because the mean of its divisors is an integer number (987223386240).

Almost surely, 214048812535148 is an apocalyptic number.

14048812535148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14048812535148 is an abundant number, since it is smaller than the sum of its proper divisors (21491229369492).

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

14048812535148 is a wasteful number, since it uses less digits than its factorization.

14048812535148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305118406 (or 305118401 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 14048812535148 in words is "fourteen trillion, forty-eight billion, eight hundred twelve million, five hundred thirty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1279 2558 3837 5116 7674 11511 15348 23022 46044 305117117 610234234 915351351 1220468468 1830702702 2746054053 3661405404 5492108106 10984216212 390244792643 780489585286 1170734377929 1560979170572 2341468755858 3512203133787 4682937511716 7024406267574 14048812535148