Search a number
-
+
320041052531244 = 223411671340272763
BaseRepresentation
bin100100011000100110101110…
…1001111111110101000101100
31112222011121220012222202110000
41020301031131033332220230
5313422023033421444434
63052400455124344300
7124261126426333002
oct11061153517765054
91488147805882400
10320041052531244
1192a7a714778930
122ba8a124b45090
131097698483b855
1459060d8d64a72
1527000077d7b99
hex123135d3fea2c

320041052531244 has 120 divisors (see below), whose sum is σ = 926332201384128. Its totient is φ = 95534642475360.

The previous prime is 320041052531219. The next prime is 320041052531297. The reversal of 320041052531244 is 442135250140023.

It is a happy number.

320041052531244 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 4 + 1 + 0 + 525 + 3 + 124 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 320041052531199 and 320041052531208.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 669897594 + ... + 670375169.

Almost surely, 2320041052531244 is an apocalyptic number.

It is an amenable number.

320041052531244 is an abundant number, since it is smaller than the sum of its proper divisors (606291148852884).

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

320041052531244 is a wasteful number, since it uses less digits than its factorization.

320041052531244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340272857 (or 1340272846 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 320041052531244 in words is "three hundred twenty trillion, forty-one billion, fifty-two million, five hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 81 99 108 132 134 162 198 201 268 297 324 396 402 594 603 737 804 891 1188 1206 1474 1782 1809 2211 2412 2948 3564 3618 4422 5427 6633 7236 8844 10854 13266 19899 21708 26532 39798 59697 79596 119394 238788 1340272763 2680545526 4020818289 5361091052 8041636578 12062454867 14743000393 16083273156 24124909734 29486000786 36187364601 44229001179 48249819468 58972001572 72374729202 88458002358 89798275121 108562093803 132687003537 144749458404 176916004716 179596550242 217124187606 265374007074 269394825363 359193100484 398061010611 434248375212 530748014148 538789650726 796122021222 808184476089 987781026331 1077579301452 1194183031833 1592244042444 1616368952178 1975562052662 2388366063666 2424553428267 2963343078993 3232737904356 3951124105324 4776732127332 4849106856534 5926686157986 7273660284801 8890029236979 9698213713068 11853372315972 14547320569602 17780058473958 26670087710937 29094641139204 35560116947916 53340175421874 80010263132811 106680350843748 160020526265622 320041052531244