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14027489280 = 2153457151
BaseRepresentation
bin11010001000001101…
…01000000000000000
31100012121012021210000
431010012220000000
5212212014124110
610235533440000
71004420456130
oct150406500000
940177167700
1014027489280
115a49174352
122875940000
13142721511c
14970dd0ac0
155717631c0
hex3441a8000

14027489280 has 640 divisors, whose sum is σ = 57855346560. Its totient is φ = 3185049600.

The previous prime is 14027489219. The next prime is 14027489291. The reversal of 14027489280 is 8298472041.

14027489280 is a `hidden beast` number, since 140 + 2 + 7 + 489 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92897205 + ... + 92897355.

It is an arithmetic number, because the mean of its divisors is an integer number (90398979).

Almost surely, 214027489280 is an apocalyptic number.

14027489280 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 14027489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28927673280).

14027489280 is an abundant number, since it is smaller than the sum of its proper divisors (43827857280).

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

14027489280 is an frugal number, since it uses more digits than its factorization.

14027489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 14027489280 in words is "fourteen billion, twenty-seven million, four hundred eighty-nine thousand, two hundred eighty".