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14210721000 = 233453771353
BaseRepresentation
bin11010011110000011…
…00110010011101000
31100200100222102110000
431033001212103220
5213100421033000
610310041023000
71012104064320
oct151701462350
940610872400
1014210721000
116032644023
122907184a60
13145617ac68
1498b48a280
155828a9000
hex34f0664e8

14210721000 has 640 divisors, whose sum is σ = 57733378560. Its totient is φ = 3193344000.

The previous prime is 14210720947. The next prime is 14210721059. The reversal of 14210721000 is 12701241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40256824 + ... + 40257176.

It is an arithmetic number, because the mean of its divisors is an integer number (90208404).

Almost surely, 214210721000 is an apocalyptic number.

14210721000 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 14210721000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28866689280).

14210721000 is an abundant number, since it is smaller than the sum of its proper divisors (43522657560).

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

14210721000 is a wasteful number, since it uses less digits than its factorization.

14210721000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The spelling of 14210721000 in words is "fourteen billion, two hundred ten million, seven hundred twenty-one thousand".