Search a number
-
+
2122446644240 = 2451323785311299
BaseRepresentation
bin11110111000101011101…
…011011010010000010000
321111220101221210212101212
4132320223223122100100
5234233232320103430
64303012153315252
7306225130544036
oct36705353322020
97456357725355
102122446644240
11749140886a3a
122a3417105b28
131251b85b9210
1474a26b18556
153a322b6eb95
hex1ee2bada410

2122446644240 has 160 divisors (see below), whose sum is σ = 5546532499200. Its totient is φ = 749438097408.

The previous prime is 2122446644209. The next prime is 2122446644267. The reversal of 2122446644240 is 424466442212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187838111 + ... + 187849409.

It is an arithmetic number, because the mean of its divisors is an integer number (34665828120).

Almost surely, 22122446644240 is an apocalyptic number.

2122446644240 is a gapful number since it is divisible by the number (20) 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 2122446644240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773266249600).

2122446644240 is an abundant number, since it is smaller than the sum of its proper divisors (3424085854960).

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

2122446644240 is a wasteful number, since it uses less digits than its factorization.

2122446644240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19201 (or 19195 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 41.

The spelling of 2122446644240 in words is "two trillion, one hundred twenty-two billion, four hundred forty-six million, six hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 7853 11299 11960 15706 22598 23920 31412 39265 45196 56495 62824 78530 90392 102089 112990 125648 146887 157060 180619 180784 204178 225980 259877 293774 314120 361238 408356 451960 510445 519754 587548 628240 722476 734435 816712 903095 903920 1020890 1039508 1175096 1299385 1444952 1468870 1633424 1806190 2041780 2079016 2348047 2350192 2598770 2889904 2937740 3378401 3612380 4083560 4158032 4696094 5197540 5875480 6756802 7224760 8167120 9392188 10395080 11740235 11750960 13513604 14449520 16892005 18784376 20790160 23480470 27027208 33784010 37568752 46960940 54054416 67568020 88731047 93921880 135136040 177462094 187843760 270272080 354924188 443655235 709848376 887310470 1153503611 1419696752 1774620940 2040814081 2307007222 3549241880 4081628162 4614014444 5767518055 7098483760 8163256324 9228028888 10204070405 11535036110 16326512648 18456057776 20408140810 23070072220 26530583053 32653025296 40816281620 46140144440 53061166106 81632563240 92280288880 106122332212 132652915265 163265126480 212244664424 265305830530 424489328848 530611661060 1061223322120 2122446644240