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320420143320 = 233543250324809
BaseRepresentation
bin1001010100110101000…
…01110110000011011000
31010122001122000210021120
410222122201312003120
520222210024041240
6403110551405240
732102211165024
oct4523241660330
91118048023246
10320420143320
111139868aa202
1252124083820
13242a557b554
1411719153384
15850526bad0
hex4a9a8760d8

320420143320 has 128 divisors (see below), whose sum is σ = 984047961600. Its totient is φ = 83421563904.

The previous prime is 320420143319. The next prime is 320420143339. The reversal of 320420143320 is 23341024023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12903076 + ... + 12927884.

It is an arithmetic number, because the mean of its divisors is an integer number (7687874700).

Almost surely, 2320420143320 is an apocalyptic number.

320420143320 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 320420143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492023980800).

320420143320 is an abundant number, since it is smaller than the sum of its proper divisors (663627818280).

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

320420143320 is a wasteful number, since it uses less digits than its factorization.

320420143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27369 (or 27365 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 320420143320 its reverse (23341024023), we get a palindrome (343761167343).

The spelling of 320420143320 in words is "three hundred twenty billion, four hundred twenty million, one hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2503 2580 5006 5160 7509 10012 12515 15018 20024 24809 25030 30036 37545 49618 50060 60072 74427 75090 99236 100120 107629 124045 148854 150180 198472 215258 248090 297708 300360 322887 372135 430516 496180 538145 595416 645774 744270 861032 992360 1066787 1076290 1291548 1488540 1614435 2133574 2152580 2583096 2977080 3200361 3228870 4267148 4305160 5333935 6400722 6457740 8534296 10667870 12801444 12915480 16001805 21335740 25602888 32003610 42671480 62096927 64007220 124193854 128014440 186290781 248387708 310484635 372581562 496775416 620969270 745163124 931453905 1241938540 1490326248 1862907810 2483877080 2670167861 3725815620 5340335722 7451631240 8010503583 10680671444 13350839305 16021007166 21361342888 26701678610 32042014332 40052517915 53403357220 64084028664 80105035830 106806714440 160210071660 320420143320