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20042243120 = 2457926911789
BaseRepresentation
bin10010101010100111…
…000101110000110000
31220201210000102220202
4102222213011300300
5312021303234440
613112434454332
71306444153454
oct225247056060
956653012822
1020042243120
118555361999
123a741343a8
131b75378473
14d81b60664
157c4812615
hex4aa9c5c30

20042243120 has 80 divisors (see below), whose sum is σ = 47367504000. Its totient is φ = 7885323264.

The previous prime is 20042243113. The next prime is 20042243129. The reversal of 20042243120 is 2134224002.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 20042243092 and 20042243101.

It is not an unprimeable number, because it can be changed into a prime (20042243129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1694186 + ... + 1705974.

It is an arithmetic number, because the mean of its divisors is an integer number (592093800).

Almost surely, 220042243120 is an apocalyptic number.

20042243120 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 20042243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23683752000).

20042243120 is an abundant number, since it is smaller than the sum of its proper divisors (27325260880).

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

20042243120 is a wasteful number, since it uses less digits than its factorization.

20042243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12150 (or 12144 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20042243120 its reverse (2134224002), we get a palindrome (22176467122).

The spelling of 20042243120 in words is "twenty billion, forty-two million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 269 316 395 538 632 790 1076 1264 1345 1580 2152 2690 3160 4304 5380 6320 10760 11789 21251 21520 23578 42502 47156 58945 85004 94312 106255 117890 170008 188624 212510 235780 340016 425020 471560 850040 931331 943120 1700080 1862662 3171241 3725324 4656655 6342482 7450648 9313310 12684964 14901296 15856205 18626620 25369928 31712410 37253240 50739856 63424820 74506480 126849640 250528039 253699280 501056078 1002112156 1252640195 2004224312 2505280390 4008448624 5010560780 10021121560 20042243120