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442430003000 = 23532915256207
BaseRepresentation
bin1100111000000101110…
…00100001011100111000
31120021222201002211221102
412130002320201130320
524222044040044000
6535125522230532
743651553655446
oct6340270413470
91507881084842
10442430003000
111606a7225687
12718b4ab5448
133294ac829ab
14175b139db96
15b7968d13d5
hex6702e21738

442430003000 has 64 divisors (see below), whose sum is σ = 1070985801600. Its totient is φ = 170869507200.

The previous prime is 442430002999. The next prime is 442430003017. The reversal of 442430003000 is 300034244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7599104 + ... + 7657103.

It is an arithmetic number, because the mean of its divisors is an integer number (16734153150).

Almost surely, 2442430003000 is an apocalyptic number.

442430003000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442430003000 is an abundant number, since it is smaller than the sum of its proper divisors (628555798600).

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

442430003000 is a wasteful number, since it uses less digits than its factorization.

442430003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15256257 (or 15256243 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 442430003000 its reverse (300034244), we get a palindrome (442730037244).

The spelling of 442430003000 in words is "four hundred forty-two billion, four hundred thirty million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 15256207 30512414 61024828 76281035 122049656 152562070 305124140 381405175 442430003 610248280 762810350 884860006 1525620700 1769720012 1907025875 2212150015 3051241400 3539440024 3814051750 4424300030 7628103500 8848600060 11060750075 15256207000 17697200120 22121500150 44243000300 55303750375 88486000600 110607500750 221215001500 442430003000