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120341042000 = 2453149403829
BaseRepresentation
bin111000000010011100…
…0101001001101010000
3102111121202220100011122
41300010320221031100
53432424301321000
6131141154101412
711460106656644
oct1600470511520
9374552810148
10120341042000
1147044421013
121b3a5b7a868
13b46aa5507a
145b78760c24
1531e4dc0085
hex1c04e29350

120341042000 has 80 divisors (see below), whose sum is σ = 292938282000. Its totient is φ = 47813235200.

The previous prime is 120341041981. The next prime is 120341042011. The reversal of 120341042000 is 240143021.

It can be written as a sum of positive squares in 8 ways, for example, as 59041224256 + 61299817744 = 242984^2 + 247588^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 120341042000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96086 + ... + 499914.

It is an arithmetic number, because the mean of its divisors is an integer number (3661728525).

Almost surely, 2120341042000 is an apocalyptic number.

120341042000 is a gapful number since it is divisible by the number (10) 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 120341042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146469141000).

120341042000 is an abundant number, since it is smaller than the sum of its proper divisors (172597240000).

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

120341042000 is a wasteful number, since it uses less digits than its factorization.

120341042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404001 (or 403985 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 120341042000 its reverse (240143021), we get a palindrome (120581185021).

The spelling of 120341042000 in words is "one hundred twenty billion, three hundred forty-one million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 149 200 250 298 400 500 596 745 1000 1192 1490 2000 2384 2980 3725 5960 7450 11920 14900 18625 29800 37250 59600 74500 149000 298000 403829 807658 1615316 2019145 3230632 4038290 6461264 8076580 10095725 16153160 20191450 32306320 40382900 50478625 60170521 80765800 100957250 120341042 161531600 201914500 240682084 300852605 403829000 481364168 601705210 807658000 962728336 1203410420 1504263025 2406820840 3008526050 4813641680 6017052100 7521315125 12034104200 15042630250 24068208400 30085260500 60170521000 120341042000