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320131332340 = 225232931775703
BaseRepresentation
bin1001010100010010101…
…00000111100011110100
31010121022111120200002121
410222021110013203310
520221112110113330
6403022153245324
732062103266351
oct4521124074364
91117274520077
10320131332340
11113848878246
1252063403844
132425a79a591
14116cca53628
1584d9c1d17a
hex4a895078f4

320131332340 has 96 divisors (see below), whose sum is σ = 727993889280. Its totient is φ = 117886788096.

The previous prime is 320131332319. The next prime is 320131332343. The reversal of 320131332340 is 43233131023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320131332343) by changing a digit.

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, 4190929 + ... + 4266631.

It is an arithmetic number, because the mean of its divisors is an integer number (7583269680).

Almost surely, 2320131332340 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 320131332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363996944640).

320131332340 is an abundant number, since it is smaller than the sum of its proper divisors (407862556940).

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

320131332340 is a wasteful number, since it uses less digits than its factorization.

320131332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76081 (or 76079 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 320131332340 its reverse (43233131023), we get a palindrome (363364463363).

The spelling of 320131332340 in words is "three hundred twenty billion, one hundred thirty-one million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 317 460 580 634 667 1268 1334 1585 2668 3170 3335 6340 6670 7291 9193 13340 14582 18386 29164 36455 36772 45965 72910 75703 91930 145820 151406 183860 211439 302812 378515 422878 757030 845756 1057195 1514060 1741169 2114390 2195387 3482338 4228780 4390774 6964676 8705845 8781548 10976935 17411690 21953870 23997851 34823380 43907740 47995702 50493901 95991404 100987802 119989255 201975604 239978510 252469505 479957020 504939010 551950573 695937679 1009878020 1103901146 1391875358 2207802292 2759752865 2783750716 3479688395 5519505730 6959376790 11039011460 13918753580 16006566617 32013133234 64026266468 80032833085 160065666170 320131332340