Search a number
-
+
4042111202340 = 22351921069174571
BaseRepresentation
bin111010110100100000100…
…110100011010000100100
3112022102101200100102120220
4322310200212203100210
51012211220431433330
612332530435124340
7565014166215561
oct72644046432044
915272350312526
104042111202340
11131928243a232
1255347aa436b0
1323422838ba43
14dd8d4071868
1570227ebd710
hex3ad209a3424

4042111202340 has 144 divisors (see below), whose sum is σ = 11956184896320. Its totient is φ = 1020203838720.

The previous prime is 4042111202267. The next prime is 4042111202369. The reversal of 4042111202340 is 432021112404.

It is a self number, because there is not a number n which added to its sum of digits gives 4042111202340.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23067255 + ... + 23241825.

It is an arithmetic number, because the mean of its divisors is an integer number (83029061780).

Almost surely, 24042111202340 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 4042111202340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978092448160).

4042111202340 is an abundant number, since it is smaller than the sum of its proper divisors (7914073693980).

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

4042111202340 is a wasteful number, since it uses less digits than its factorization.

4042111202340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175690 (or 175669 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4042111202340 its reverse (432021112404), we get a palindrome (4474132314744).

The spelling of 4042111202340 in words is "four trillion, forty-two billion, one hundred eleven million, two hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1069 1083 1140 1444 1805 2138 2166 3207 3610 4276 4332 5345 5415 6414 7220 10690 10830 12828 16035 20311 21380 21660 32070 40622 60933 64140 81244 101555 121866 174571 203110 243732 304665 349142 385909 406220 523713 609330 698284 771818 872855 1047426 1157727 1218660 1543636 1745710 1929545 2094852 2315454 2618565 3316849 3491420 3859090 4630908 5237130 5788635 6633698 7718180 9950547 10474260 11577270 13267396 16584245 19901094 23154540 33168490 39802188 49752735 63020131 66336980 99505470 126040262 186616399 189060393 199010940 252080524 315100655 373232798 378120786 559849197 630201310 746465596 756241572 933081995 945301965 1119698394 1260402620 1866163990 1890603930 2239396788 2799245985 3545711581 3732327980 3781207860 5598491970 7091423162 10637134743 11196983940 14182846324 17728557905 21274269486 35457115810 42548538972 53185673715 67368520039 70914231620 106371347430 134737040078 202105560117 212742694860 269474080156 336842600195 404211120234 673685200390 808422240468 1010527800585 1347370400780 2021055601170 4042111202340