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14030442320 = 245733377129
BaseRepresentation
bin11010001000100011…
…11000111101010000
31100012210202022120212
431010101320331100
5212213243123240
610240121023252
71004454535436
oct150421707520
940183668525
1014030442320
115a4a900a84
122876924b28
131427a0a29b
1497155cd56
15571b48165
hex344478f50

14030442320 has 80 divisors (see below), whose sum is σ = 33170414160. Its totient is φ = 5518098432.

The previous prime is 14030442317. The next prime is 14030442341. The reversal of 14030442320 is 2324403041.

It can be written as a sum of positive squares in 8 ways, for example, as 112105744 + 13918336576 = 10588^2 + 117976^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1964516 + ... + 1971644.

It is an arithmetic number, because the mean of its divisors is an integer number (414630177).

Almost surely, 214030442320 is an apocalyptic number.

14030442320 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 14030442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16585207080).

14030442320 is an abundant number, since it is smaller than the sum of its proper divisors (19139971840).

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

14030442320 is a wasteful number, since it uses less digits than its factorization.

14030442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 14030442320 its reverse (2324403041), we get a palindrome (16354845361).

The spelling of 14030442320 in words is "fourteen billion, thirty million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 337 365 584 674 730 1168 1348 1460 1685 2696 2920 3370 5392 5840 6740 7129 13480 14258 24601 26960 28516 35645 49202 57032 71290 98404 114064 123005 142580 196808 246010 285160 393616 492020 520417 570320 984040 1040834 1968080 2081668 2402473 2602085 4163336 4804946 5204170 8326672 9609892 10408340 12012365 19219784 20816680 24024730 38439568 41633360 48049460 96098920 175380529 192197840 350761058 701522116 876902645 1403044232 1753805290 2806088464 3507610580 7015221160 14030442320