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42031430000 = 24547600449
BaseRepresentation
bin100111001001010001…
…001011100101110000
311000111020112212120122
4213021101023211300
51142040021230000
631150423225412
73015402155150
oct471121134560
9130436485518
1042031430000
111690971250a
1281902a8268
133c6abb2751
14206a2c8760
151160007085
hex9c944b970

42031430000 has 100 divisors (see below), whose sum is σ = 116299959600. Its totient is φ = 14410752000.

The previous prime is 42031429981. The next prime is 42031430009. The reversal of 42031430000 is 3413024.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×420314300002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42031430009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230225 + ... + 370224.

It is an arithmetic number, because the mean of its divisors is an integer number (1162999596).

Almost surely, 242031430000 is an apocalyptic number.

42031430000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42031430000 is an abundant number, since it is smaller than the sum of its proper divisors (74268529600).

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

42031430000 is an equidigital number, since it uses as much as digits as its factorization.

42031430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600484 (or 600463 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 42031430000 its reverse (3413024), we get a palindrome (42034843024).

The spelling of 42031430000 in words is "forty-two billion, thirty-one million, four hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 600449 1200898 2401796 3002245 4203143 4803592 6004490 8406286 9607184 12008980 15011225 16812572 21015715 24017960 30022450 33625144 42031430 48035920 60044900 67250288 75056125 84062860 105078575 120089800 150112250 168125720 210157150 240179600 300224500 336251440 375280625 420314300 525392875 600449000 750561250 840628600 1050785750 1200898000 1501122500 1681257200 2101571500 2626964375 3002245000 4203143000 5253928750 6004490000 8406286000 10507857500 21015715000 42031430000