Search a number
-
+
442330221300 = 2235211731836157
BaseRepresentation
bin1100110111111001110…
…11111000101011110100
31120021201202100102011220
412123330323320223310
524221343014040200
6535111555430340
743646232562632
oct6337473705364
91507652312156
10442330221300
11160655973170
12718875b53b0
13329333b7676
14175a2028352
15b78cc714a0
hex66fcef8af4

442330221300 has 144 divisors (see below), whose sum is σ = 1415281207872. Its totient is φ = 105762585600.

The previous prime is 442330221293. The next prime is 442330221317. The reversal of 442330221300 is 3122033244.

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, 677179 + ... + 1158978.

Almost surely, 2442330221300 is an apocalyptic number.

It is an amenable number.

442330221300 is an abundant number, since it is smaller than the sum of its proper divisors (972950986572).

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

442330221300 is a wasteful number, since it uses less digits than its factorization.

442330221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836258 (or 1836251 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 442330221300 its reverse (3122033244), we get a palindrome (445452254544).

The spelling of 442330221300 in words is "four hundred forty-two billion, three hundred thirty million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 73 75 100 110 132 146 150 165 219 220 275 292 300 330 365 438 550 660 730 803 825 876 1095 1100 1460 1606 1650 1825 2190 2409 3212 3300 3650 4015 4380 4818 5475 7300 8030 9636 10950 12045 16060 20075 21900 24090 40150 48180 60225 80300 120450 240900 1836157 3672314 5508471 7344628 9180785 11016942 18361570 20197727 22033884 27542355 36723140 40395454 45903925 55084710 60593181 80790908 91807850 100988635 110169420 121186362 134039461 137711775 183615700 201977270 242372724 268078922 275423550 302965905 402118383 403954540 504943175 536157844 550847100 605931810 670197305 804236766 1009886350 1211863620 1340394610 1474434071 1514829525 1608473532 2010591915 2019772700 2680789220 2948868142 3029659050 3350986525 4021183830 4423302213 5897736284 6059318100 6701973050 7372170355 8042367660 8846604426 10052959575 13403946100 14744340710 17693208852 20105919150 22116511065 29488681420 36860851775 40211838300 44233022130 73721703550 88466044260 110582555325 147443407100 221165110650 442330221300