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20042341000 = 23531110931667
BaseRepresentation
bin10010101010100111…
…011101101010001000
31220201210012102011221
4102222213131222020
5312021314403000
613112440531424
71306445042023
oct225247355210
956653172157
1020042341000
118555419490
123a74180b74
131b753b0b96
14d81b881ba
157c483161a
hex4aa9dda88

20042341000 has 128 divisors (see below), whose sum is σ = 51240159360. Its totient is φ = 7277088000.

The previous prime is 20042340991. The next prime is 20042341021. The reversal of 20042341000 is 14324002.

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 31 ways as a sum of consecutive naturals, for example, 12022167 + ... + 12023833.

It is an arithmetic number, because the mean of its divisors is an integer number (400313745).

Almost surely, 220042341000 is an apocalyptic number.

20042341000 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 20042341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25620079680).

20042341000 is an abundant number, since it is smaller than the sum of its proper divisors (31197818360).

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

20042341000 is a wasteful number, since it uses less digits than its factorization.

20042341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20042341000 its reverse (14324002), we get a palindrome (20056665002).

The spelling of 20042341000 in words is "twenty billion, forty-two million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1093 1100 1375 1667 2186 2200 2750 3334 4372 5465 5500 6668 8335 8744 10930 11000 12023 13336 16670 18337 21860 24046 27325 33340 36674 41675 43720 48092 54650 60115 66680 73348 83350 91685 96184 109300 120230 136625 146696 166700 183370 208375 218600 240460 273250 300575 333400 366740 416750 458425 480920 546500 601150 733480 833500 916850 1093000 1202300 1502875 1667000 1822031 1833700 2292125 2404600 3005750 3644062 3667400 4584250 6011500 7288124 9110155 9168500 12023000 14576248 18220310 18337000 20042341 36440620 40084682 45550775 72881240 80169364 91101550 100211705 160338728 182203100 200423410 227753875 364406200 400846820 455507750 501058525 801693640 911015500 1002117050 1822031000 2004234100 2505292625 4008468200 5010585250 10021170500 20042341000