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1442020404300 = 2235271036666761
BaseRepresentation
bin10100111110111111000…
…111010010110001001100
312002212002212210111122020
4110332333013102301030
5142111224210414200
63022242141450140
7206116416124260
oct24767707226114
95085085714566
101442020404300
11506614a19a53
121b3581870950
13a5c9c428c28
144db192640a0
152779c1d9ea0
hex14fbf1d2c4c

1442020404300 has 144 divisors (see below), whose sum is σ = 4814575514112. Its totient is φ = 326404569600.

The previous prime is 1442020404233. The next prime is 1442020404379. The reversal of 1442020404300 is 34040202441.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3117081 + ... + 3549680.

Almost surely, 21442020404300 is an apocalyptic number.

1442020404300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442020404300 is an abundant number, since it is smaller than the sum of its proper divisors (3372555109812).

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

1442020404300 is a wasteful number, since it uses less digits than its factorization.

1442020404300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6666888 (or 6666881 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1442020404300 its reverse (34040202441), we get a palindrome (1476060606741).

The spelling of 1442020404300 in words is "one trillion, four hundred forty-two billion, twenty million, four hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 103 105 140 150 175 206 210 300 309 350 412 420 515 525 618 700 721 1030 1050 1236 1442 1545 2060 2100 2163 2575 2884 3090 3605 4326 5150 6180 7210 7725 8652 10300 10815 14420 15450 18025 21630 30900 36050 43260 54075 72100 108150 216300 6666761 13333522 20000283 26667044 33333805 40000566 46667327 66667610 80001132 93334654 100001415 133335220 140001981 166669025 186669308 200002830 233336635 280003962 333338050 400005660 466673270 500007075 560007924 666676100 686676383 700009905 933346540 1000014150 1166683175 1373352766 1400019810 2000028300 2060029149 2333366350 2746705532 2800039620 3433381915 3500049525 4120058298 4666732700 4806734681 6866763830 7000099050 8240116596 9613469362 10300145745 13733527660 14000198100 14420204043 17166909575 19226938724 20600291490 24033673405 28840408086 34333819150 41200582980 48067346810 51500728725 57680816172 68667638300 72101020215 96134693620 103001457450 120168367025 144202040430 206002914900 240336734050 288404080860 360505101075 480673468100 721010202150 1442020404300