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14430589740 = 223257173831759
BaseRepresentation
bin11010111000010000…
…10101001100101100
31101020200200220122200
431130020111030230
5214023212332430
610343533341500
71020413663130
oct153410251454
941220626580
1014430589740
116135767726
122968937890
13148c8a09c8
149ac7613c0
15596d3a460
hex35c21532c

14430589740 has 288 divisors, whose sum is σ = 53137244160. Its totient is φ = 3094530048.

The previous prime is 14430589729. The next prime is 14430589769. The reversal of 14430589740 is 4798503441.

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 95 ways as a sum of consecutive naturals, for example, 8202981 + ... + 8204739.

It is an arithmetic number, because the mean of its divisors is an integer number (184504320).

Almost surely, 214430589740 is an apocalyptic number.

14430589740 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 14430589740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26568622080).

14430589740 is an abundant number, since it is smaller than the sum of its proper divisors (38706654420).

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

14430589740 is a wasteful number, since it uses less digits than its factorization.

14430589740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14430589740 in words is "fourteen billion, four hundred thirty million, five hundred eighty-nine thousand, seven hundred forty".