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420132414000300 = 223522948291082069
BaseRepresentation
bin101111110000110111011001…
…1010010111000110010101100
32001002120021012022000210021220
41133201232303102320302230
5420031422140441002200
64045314055544423340
7154331364606255321
oct13741566322706254
92032507168023256
10420132414000300
1111195a179967a31
123b154587477b50
1315057416884551
1475a67357d6b48
15338891cc174a0
hex17e1bb34b8cac

420132414000300 has 72 divisors (see below), whose sum is σ = 1257499777102800. Its totient is φ = 108172023832320.

The previous prime is 420132414000289. The next prime is 420132414000323. The reversal of 420132414000300 is 3000414231024.

It is a super-2 number, since 2×4201324140003002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24145532335 + ... + 24145549734.

Almost surely, 2420132414000300 is an apocalyptic number.

It is an amenable number.

420132414000300 is an abundant number, since it is smaller than the sum of its proper divisors (837367363102500).

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

420132414000300 is a wasteful number, since it uses less digits than its factorization.

420132414000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48291082115 (or 48291082108 counting only the distinct ones).

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

Adding to 420132414000300 its reverse (3000414231024), we get a palindrome (423132828231324).

The spelling of 420132414000300 in words is "four hundred twenty trillion, one hundred thirty-two billion, four hundred fourteen million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 48291082069 96582164138 144873246207 193164328276 241455410345 289746492414 482910820690 579492984828 724366231035 965821641380 1207277051725 1400441380001 1448732462070 2414554103450 2800882760002 2897464924140 3621831155175 4201324140003 4829108206900 5601765520004 7002206900005 7243662310350 8402648280006 14004413800010 14487324620700 16805296560012 21006620700015 28008827600020 35011034500025 42013241400030 70022069000050 84026482800060 105033103500075 140044138000100 210066207000150 420132414000300