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2104455442000 = 24538231278527
BaseRepresentation
bin11110100111111011010…
…100011010111001010000
321110011222010012002122011
4132213323110122321100
5233434411043121000
64250435023352304
7305020240053262
oct36477324327120
97404863162564
102104455442000
1174154926345a
1229ba35a52694
131235ac149212
1473bdb53bb32
1539b1d4532ba
hex1e9fb51ae50

2104455442000 has 80 divisors (see below), whose sum is σ = 5094760200192. Its totient is φ = 840758697600.

The previous prime is 2104455441971. The next prime is 2104455442007. The reversal of 2104455442000 is 2445544012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104455442007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1006737 + ... + 2285263.

Almost surely, 22104455442000 is an apocalyptic number.

2104455442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104455442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547380100096).

2104455442000 is an abundant number, since it is smaller than the sum of its proper divisors (2990304758192).

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

2104455442000 is a wasteful number, since it uses less digits than its factorization.

2104455442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279373 (or 1279357 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The spelling of 2104455442000 in words is "two trillion, one hundred four billion, four hundred fifty-five million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 823 1000 1646 2000 3292 4115 6584 8230 13168 16460 20575 32920 41150 65840 82300 102875 164600 205750 329200 411500 823000 1278527 1646000 2557054 5114108 6392635 10228216 12785270 20456432 25570540 31963175 51141080 63926350 102282160 127852700 159815875 255705400 319631750 511410800 639263500 1052227721 1278527000 2104455442 2557054000 4208910884 5261138605 8417821768 10522277210 16835643536 21044554420 26305693025 42089108840 52611386050 84178217680 105222772100 131528465125 210445544200 263056930250 420891088400 526113860500 1052227721000 2104455442000