Search a number
-
+
322406650540 = 225132711936961
BaseRepresentation
bin1001011000100001110…
…11110001001010101100
31010211012001222210220001
410230100323301022230
520240242100304130
6404040033234044
732202352212202
oct4542073611254
91124161883801
10322406650540
11114806170507
1252599402924
1324530cb0300
1411866cd9072
1585be8666ca
hex4b10ef12ac

322406650540 has 144 divisors (see below), whose sum is σ = 747426730176. Its totient is φ = 116740915200.

The previous prime is 322406650537. The next prime is 322406650571. The reversal of 322406650540 is 45056604223.

It is a self number, because there is not a number n which added to its sum of digits gives 322406650540.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46312660 + ... + 46319620.

It is an arithmetic number, because the mean of its divisors is an integer number (5190463404).

Almost surely, 2322406650540 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 322406650540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373713365088).

322406650540 is an abundant number, since it is smaller than the sum of its proper divisors (425020079636).

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

322406650540 is a wasteful number, since it uses less digits than its factorization.

322406650540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7260 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 322406650540 in words is "three hundred twenty-two billion, four hundred six million, six hundred fifty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 169 193 260 284 338 355 386 676 710 772 845 923 965 1420 1690 1846 1930 2509 3380 3692 3860 4615 5018 6961 9230 10036 11999 12545 13703 13922 18460 23998 25090 27406 27844 32617 34805 47996 50180 54812 59995 65234 68515 69610 90493 119990 130468 137030 139220 163085 178139 180986 239980 274060 326170 356278 361972 452465 494231 652340 712556 890695 904930 988462 1176409 1343473 1781390 1809860 1976924 2315807 2352818 2471155 2686946 3562780 4631614 4705636 4942310 5373892 5882045 6425003 6717365 9263228 9884620 11579035 11764090 12850006 13434730 17465149 23158070 23528180 25700012 26869460 32125015 34930298 46316140 64250030 69860596 83525039 87325745 95386583 128500060 167050078 174651490 190773166 227046937 334100156 349302980 381546332 417625195 454093874 476932915 835250390 908187748 953865830 1135234685 1240025579 1670500780 1907731660 2270469370 2480051158 4540938740 4960102316 6200127895 12400255790 16120332527 24800511580 32240665054 64481330108 80601662635 161203325270 322406650540