Search a number
-
+
30143718000 = 24335311311637
BaseRepresentation
bin11100000100101101…
…001010001001110000
32212210202201112102000
4130010231022021300
5443213242434000
621503044254000
72114663242524
oct340455121160
985722645360
1030143718000
1111869385540
125a130a1300
132ac50a4836
14165d579d84
15bb6567000
hex704b4a270

30143718000 has 640 divisors, whose sum is σ = 121672212480. Its totient is φ = 7067520000.

The previous prime is 30143717999. The next prime is 30143718049. The reversal of 30143718000 is 81734103.

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 127 ways as a sum of consecutive naturals, for example, 18413182 + ... + 18414818.

It is an arithmetic number, because the mean of its divisors is an integer number (190112832).

Almost surely, 230143718000 is an apocalyptic number.

30143718000 is a gapful number since it is divisible by the number (30) 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 30143718000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60836106240).

30143718000 is an abundant number, since it is smaller than the sum of its proper divisors (91528494480).

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

30143718000 is a wasteful number, since it uses less digits than its factorization.

30143718000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 30143718000 in words is "thirty billion, one hundred forty-three million, seven hundred eighteen thousand".