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442420304203000 = 235337113105816863
BaseRepresentation
bin110010010011000010000000…
…1000100101100110011111000
32011000110222010200112201201201
41210212010001010230303320
5430442103240333444000
64204541025410023544
7162121545400205314
oct14446040104546370
92130428120481651
10442420304203000
11118a72440938102
1241754028877bb4
1315cb30954026c6
147b37385206b44
15362357a02b96a
hex192610112ccf8

442420304203000 has 128 divisors (see below), whose sum is σ = 1072652852344320. Its totient is φ = 170661435033600.

The previous prime is 442420304202979. The next prime is 442420304203061. The reversal of 442420304203000 is 302403024244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442420304203000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48727432 + ... + 57089431.

It is an arithmetic number, because the mean of its divisors is an integer number (8380100408940).

Almost surely, 2442420304203000 is an apocalyptic number.

442420304203000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442420304203000 is an abundant number, since it is smaller than the sum of its proper divisors (630232548141320).

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

442420304203000 is a wasteful number, since it uses less digits than its factorization.

442420304203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105817034 (or 105817020 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 442420304203000 its reverse (302403024244), we get a palindrome (442722707227244).

The spelling of 442420304203000 in words is "four hundred forty-two trillion, four hundred twenty billion, three hundred four million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 113 125 148 185 200 226 250 296 370 452 500 565 740 904 925 1000 1130 1480 1850 2260 2825 3700 4181 4520 4625 5650 7400 8362 9250 11300 14125 16724 18500 20905 22600 28250 33448 37000 41810 56500 83620 104525 113000 167240 209050 418100 522625 836200 1045250 2090500 4181000 105816863 211633726 423267452 529084315 846534904 1058168630 2116337260 2645421575 3915223931 4232674520 5290843150 7830447862 10581686300 11957305519 13227107875 15660895724 19576119655 21163372600 23914611038 26454215750 31321791448 39152239310 47829222076 52908431500 59786527595 78304478620 95658444152 97880598275 105816863000 119573055190 156608957240 195761196550 239146110380 298932637975 391522393100 442420304203 478292220760 489402991375 597865275950 783044786200 884840608406 978805982750 1195730551900 1494663189875 1769681216812 1957611965500 2212101521015 2391461103800 2989326379750 3539362433624 3915223931000 4424203042030 5978652759500 8848406084060 11060507605075 11957305519000 17696812168120 22121015210150 44242030420300 55302538025375 88484060840600 110605076050750 221210152101500 442420304203000