Search a number
-
+
2442323423430 = 2345111931420261
BaseRepresentation
bin100011100010100101110…
…100011111000011000110
322122111001201101220020000
4203202211310133003012
5310003334244022210
65105553215022130
7341311023366102
oct43424564370306
98574051356200
102442323423430
118618689a0680
1233540920a946
1314940540b817
14862cda28902
15437e5359ac0
hex238a5d1f0c6

2442323423430 has 160 divisors (see below), whose sum is σ = 7201273720608. Its totient is φ = 589010227200.

The previous prime is 2442323423383. The next prime is 2442323423479. The reversal of 2442323423430 is 343243232442.

2442323423430 is a `hidden beast` number, since 2 + 44 + 232 + 3 + 42 + 343 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1009500 + ... + 2429760.

Almost surely, 22442323423430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442323423430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600636860304).

2442323423430 is an abundant number, since it is smaller than the sum of its proper divisors (4758950297178).

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

2442323423430 is a wasteful number, since it uses less digits than its factorization.

2442323423430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420484 (or 1420475 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 2442323423430 its reverse (343243232442), we get a palindrome (2785566655872).

The spelling of 2442323423430 in words is "two trillion, four hundred forty-two billion, three hundred twenty-three million, four hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 193 198 270 297 330 386 405 495 579 594 810 891 965 990 1158 1485 1737 1782 1930 2123 2895 2970 3474 4246 4455 5211 5790 6369 8685 8910 10422 10615 12738 15633 17370 19107 21230 26055 31266 31845 38214 52110 57321 63690 78165 95535 114642 156330 171963 191070 286605 343926 573210 859815 1420261 1719630 2840522 4260783 7101305 8521566 12782349 14202610 15622871 21303915 25564698 31245742 38347047 42607830 46868613 63911745 76694094 78114355 93737226 115041141 127823490 140605839 156228710 191735235 230082282 234343065 274110373 281211678 383470470 421817517 468686130 548220746 575205705 703029195 822331119 843635034 1150411410 1265452551 1370551865 1406058390 1644662238 2109087585 2466993357 2530905102 2741103730 3015214103 4111655595 4218175170 4933986714 6030428206 6327262755 7400980071 8223311190 9045642309 12334966785 12654525510 14801960142 15076070515 18091284618 22202940213 24669933570 27136926927 30152141030 37004900355 44405880426 45228211545 54273853854 74009800710 81410780781 90456423090 111014701065 135684634635 162821561562 222029402130 244232342343 271369269270 407053903905 488464684686 814107807810 1221161711715 2442323423430