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3022430400040 = 2353153142932183
BaseRepresentation
bin101011111110110110111…
…000111110111000101000
3101200221102101000122210011
4223332312320332320220
5344004414140300130
610232252500501304
7431235433340302
oct53766670767050
911627371018704
103022430400040
11a65895191277
124099259aa834
1318c0248a856c
14a6401cb2972
1553948a3d52a
hex2bfb6e3ee28

3022430400040 has 128 divisors (see below), whose sum is σ = 7157515622400. Its totient is φ = 1147059164160.

The previous prime is 3022430400007. The next prime is 3022430400049. The reversal of 3022430400040 is 400040342203.

It is a junction number, because it is equal to n+sod(n) for n = 3022430399984 and 3022430400020.

It is not an unprimeable number, because it can be changed into a prime (3022430400049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93897789 + ... + 93929971.

It is an arithmetic number, because the mean of its divisors is an integer number (55918090800).

Almost surely, 23022430400040 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 3022430400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578757811200).

3022430400040 is an abundant number, since it is smaller than the sum of its proper divisors (4135085222360).

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

3022430400040 is a wasteful number, since it uses less digits than its factorization.

3022430400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33707 (or 33703 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 3022430400040 its reverse (400040342203), we get a palindrome (3422470742243).

The spelling of 3022430400040 in words is "three trillion, twenty-two billion, four hundred thirty million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 53 62 106 124 155 212 248 265 310 424 530 620 1060 1240 1429 1643 2120 2858 3286 5716 6572 7145 8215 11432 13144 14290 16430 28580 32183 32860 44299 57160 64366 65720 75737 88598 128732 151474 160915 177196 221495 257464 302948 321830 354392 378685 442990 605896 643660 757370 885980 997673 1287320 1514740 1705699 1771960 1995346 2347847 3029480 3411398 3990692 4695694 4988365 6822796 7981384 8528495 9391388 9976730 11739235 13645592 17056990 18782776 19953460 23478470 34113980 39906920 45989507 46956940 52876669 68227960 91979014 93913880 105753338 183958028 211506676 229947535 264383345 367916056 423013352 459895070 528766690 919790140 1057533380 1425674717 1839580280 2115066760 2437443871 2851349434 4874887742 5702698868 7128373585 9749775484 11405397736 12187219355 14256747170 19499550968 24374438710 28513494340 48748877420 57026988680 75560760001 97497754840 151121520002 302243040004 377803800005 604486080008 755607600010 1511215200020 3022430400040