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320340531140 = 22572232617917
BaseRepresentation
bin1001010100101011100…
…10001001011111000100
31010121212002020001220022
410222111302021133010
520222024133444030
6403055025154312
732100223405400
oct4522562113704
91117762201808
10320340531140
11113945973413
125210148b998
1324291c25856
141170c74c100
1584ed292de5
hex4a95c897c4

320340531140 has 108 divisors (see below), whose sum is σ = 818050517676. Its totient is φ = 105055606656.

The previous prime is 320340531139. The next prime is 320340531197. The reversal of 320340531140 is 41135043023.

It can be written as a sum of positive squares in 2 ways, for example, as 252648980164 + 67691550976 = 502642^2 + 260176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 209462 + ... + 827378.

Almost surely, 2320340531140 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 320340531140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409025258838).

320340531140 is an abundant number, since it is smaller than the sum of its proper divisors (497709986536).

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

320340531140 is a wasteful number, since it uses less digits than its factorization.

320340531140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617986 (or 617954 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 320340531140 its reverse (41135043023), we get a palindrome (361475574163).

The spelling of 320340531140 in words is "three hundred twenty billion, three hundred forty million, five hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 529 644 805 980 1058 1127 1610 2116 2254 2645 3220 3703 4508 5290 5635 7406 10580 11270 14812 18515 22540 25921 37030 51842 74060 103684 129605 259210 518420 617917 1235834 2471668 3089585 4325419 6179170 8650838 12358340 14212091 17301676 21627095 28424182 30277933 43254190 56848364 60555866 71060455 86508380 99484637 121111732 142120910 151389665 198969274 284241820 302779330 326878093 397938548 497423185 605558660 653756186 696392459 994846370 1307512372 1392784918 1634390465 1989692740 2288146651 2785569836 3268780930 3481962295 4576293302 6537561860 6963924590 9152586604 11440733255 13927849180 16017026557 22881466510 32034053114 45762933020 64068106228 80085132785 160170265570 320340531140