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14092001280 = 213325743127
BaseRepresentation
bin11010001111111001…
…01110000000000000
31100101002120211121100
431013330232000000
5212330023020110
610250200254400
71006133014560
oct150774560000
940332524540
1014092001280
115a81627155
122893471400
1314376b19c6
149797c4da0
15577257bc0
hex347f2e000

14092001280 has 672 divisors, whose sum is σ = 57575890944. Its totient is φ = 3121348608.

The previous prime is 14092001269. The next prime is 14092001281. The reversal of 14092001280 is 8210029041.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14092001281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110960577 + ... + 110960703.

Almost surely, 214092001280 is an apocalyptic number.

14092001280 is a gapful number since it is divisible by the number (10) 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 14092001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28787945472).

14092001280 is an abundant number, since it is smaller than the sum of its proper divisors (43483889664).

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

14092001280 is a wasteful number, since it uses less digits than its factorization.

14092001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 14092001280 in words is "fourteen billion, ninety-two million, one thousand, two hundred eighty".