Search a number
-
+
142421300340 = 223511244943691
BaseRepresentation
bin1000010010100011111…
…0001001010001110100
3111121121120210200101120
42010220332021101310
54313134323102330
6145232154423540
713201222035654
oct2045076112164
9447546720346
10142421300340
1155445124a00
1223728731bb0
13105793c7ba7
146c71034364
153a885a3c10
hex2128f89474

142421300340 has 144 divisors (see below), whose sum is σ = 439314321600. Its totient is φ = 34448691200.

The previous prime is 142421300317. The next prime is 142421300387. The reversal of 142421300340 is 43003124241.

It is a self number, because there is not a number n which added to its sum of digits gives 142421300340.

It is a congruent number.

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, 3237895 + ... + 3281585.

It is an arithmetic number, because the mean of its divisors is an integer number (3050793900).

Almost surely, 2142421300340 is an apocalyptic number.

142421300340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142421300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219657160800).

142421300340 is an abundant number, since it is smaller than the sum of its proper divisors (296893021260).

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

142421300340 is a wasteful number, since it uses less digits than its factorization.

142421300340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44174 (or 44161 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 142421300340 its reverse (43003124241), we get a palindrome (185424424581).

The spelling of 142421300340 in words is "one hundred forty-two billion, four hundred twenty-one million, three hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 449 484 605 660 726 898 1210 1347 1452 1796 1815 2245 2420 2694 3630 4490 4939 5388 6735 7260 8980 9878 13470 14817 19756 24695 26940 29634 43691 49390 54329 59268 74085 87382 98780 108658 131073 148170 162987 174764 217316 218455 262146 271645 296340 325974 436910 480601 524292 543290 651948 655365 814935 873820 961202 1086580 1310730 1441803 1629870 1922404 2403005 2621460 2883606 3259740 4806010 5286611 5767212 7209015 9612020 10573222 14418030 15859833 19617259 21146444 26433055 28836060 31719666 39234518 52866110 58851777 63439332 78469036 79299165 98086295 105732220 117703554 158598330 196172590 215789849 235407108 294258885 317196660 392345180 431579698 588517770 647369547 863159396 1078949245 1177035540 1294739094 2157898490 2373688339 2589478188 3236847735 4315796980 4747376678 6473695470 7121065017 9494753356 11868441695 12947390940 14242130034 23736883390 28484260068 35605325085 47473766780 71210650170 142421300340