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14130774000 = 243453717733
BaseRepresentation
bin11010010100100001…
…00111111111110000
31100110210112200210000
431022100213333300
5212414434232000
610254103310000
71010113411560
oct151220477760
940423480700
1014130774000
115aa14a9722
1228a444b300
131442738a45
149809d8da0
1557a866000
hex34a427ff0

14130774000 has 800 divisors, whose sum is σ = 61848648576. Its totient is φ = 3035750400.

The previous prime is 14130773947. The next prime is 14130774011. The reversal of 14130774000 is 47703141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 19277634 + ... + 19278366.

Almost surely, 214130774000 is an apocalyptic number.

14130774000 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 14130774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30924324288).

14130774000 is an abundant number, since it is smaller than the sum of its proper divisors (47717874576).

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

14130774000 is a wasteful number, since it uses less digits than its factorization.

14130774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 14130774000 in words is "fourteen billion, one hundred thirty million, seven hundred seventy-four thousand".