Search a number
-
+
14067130000 = 245471118269
BaseRepresentation
bin11010001100111011…
…10101111010010000
31100022100210020121211
431012131311322100
5212302141130000
610243511225504
71005411426550
oct150635657220
940270706554
1014067130000
115a69589a80
122887078294
1314324b4281
1497638d160
15574e937ba
hex346775e90

14067130000 has 200 divisors, whose sum is σ = 42464157120. Its totient is φ = 4384320000.

The previous prime is 14067129983. The next prime is 14067130019. The reversal of 14067130000 is 3176041.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 760866 + ... + 779134.

Almost surely, 214067130000 is an apocalyptic number.

14067130000 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 14067130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21232078560).

14067130000 is an abundant number, since it is smaller than the sum of its proper divisors (28397027120).

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

14067130000 is a wasteful number, since it uses less digits than its factorization.

14067130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18315 (or 18294 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The spelling of 14067130000 in words is "fourteen billion, sixty-seven million, one hundred thirty thousand".