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320424444312 = 23374339834481
BaseRepresentation
bin1001010100110101100…
…10010000000110011000
31010122001221010022010120
410222122302100012120
520222212124204222
6403111223513240
732102262560250
oct4523262200630
91118057108116
10320424444312
11113989277645
12521255b8820
13242a642610b
1411719952960
15850581b15c
hex4a9ac90198

320424444312 has 128 divisors (see below), whose sum is σ = 918751196160. Its totient is φ = 91225128960.

The previous prime is 320424444311. The next prime is 320424444337. The reversal of 320424444312 is 213444424023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320424444311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71505112 + ... + 71509592.

It is an arithmetic number, because the mean of its divisors is an integer number (7177743720).

Almost surely, 2320424444312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320424444312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459375598080).

320424444312 is an abundant number, since it is smaller than the sum of its proper divisors (598326751848).

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

320424444312 is a wasteful number, since it uses less digits than its factorization.

320424444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 320424444312 its reverse (213444424023), we get a palindrome (533868868335).

The spelling of 320424444312 in words is "three hundred twenty billion, four hundred twenty-four million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 433 866 983 1299 1732 1966 2598 2949 3031 3464 3932 4481 5196 5898 6062 6881 7864 8962 9093 10392 11796 12124 13443 13762 17924 18186 20643 23592 24248 26886 27524 31367 35848 36372 41286 53772 55048 62734 72744 82572 94101 107544 125468 165144 188202 250936 376404 425639 752808 851278 1276917 1702556 1940273 2553834 2979473 3405112 3880546 4404823 5107668 5820819 5958946 7761092 8809646 8938419 10215336 11641638 11917892 13214469 13581911 15522184 17619292 17876838 23283276 23835784 26428938 27163822 30833761 35238584 35753676 40745733 46566552 52857876 54327644 61667522 71507352 81491466 92501283 105715752 108655288 123335044 162982932 185002566 246670088 325965864 370005132 740010264 1907288359 3814576718 5721865077 7629153436 11443730154 13351018513 15258306872 22887460308 26702037026 40053055539 45774920616 53404074052 80106111078 106808148104 160212222156 320424444312