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320223454432 = 25786311171483
BaseRepresentation
bin1001010100011101100…
…11100010010011100000
31010121112220220221211221
410222032303202103200
520221304201020212
6403035243544424
732064302311030
oct4521663422340
91117486827757
10320223454432
11113895878a02
125208a22b114
13242738b33ab
14116dad938c0
1584e2d68807
hex4a8ece24e0

320223454432 has 96 divisors (see below), whose sum is σ = 722470275072. Its totient is φ = 136864525824.

The previous prime is 320223454423. The next prime is 320223454451. The reversal of 320223454432 is 234454322023.

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 15 ways as a sum of consecutive naturals, for example, 215928763 + ... + 215930245.

It is an arithmetic number, because the mean of its divisors is an integer number (7525732032).

Almost surely, 2320223454432 is an apocalyptic number.

320223454432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320223454432 is an abundant number, since it is smaller than the sum of its proper divisors (402246820640).

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

320223454432 is a wasteful number, since it uses less digits than its factorization.

320223454432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

Adding to 320223454432 its reverse (234454322023), we get a palindrome (554677776455).

The spelling of 320223454432 in words is "three hundred twenty billion, two hundred twenty-three million, four hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 863 1117 1483 1726 2234 2966 3452 4468 5932 6041 6904 7819 8936 10381 11864 12082 13808 15638 17872 20762 23728 24164 27616 31276 35744 41524 47456 48328 62552 83048 96656 125104 166096 193312 250208 332192 963971 1279829 1656511 1927942 2559658 3313022 3855884 5119316 6626044 6747797 7711768 8958803 10238632 11595577 13252088 13495594 15423536 17917606 20477264 23191154 26504176 26991188 30847072 35835212 40954528 46382308 53008352 53982376 71670424 92764616 107964752 143340848 185529232 215929504 286681696 371058464 1429568993 2859137986 5718275972 10006982951 11436551944 20013965902 22873103888 40027931804 45746207776 80055863608 160111727216 320223454432