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42322431000 = 2335315193427
BaseRepresentation
bin100111011010100111…
…010000110000011000
311001020112010020220110
4213122213100300120
51143134020243000
631235340324320
73025534504443
oct473247206030
9131215106813
1042322431000
1116a489aa903
1282518436a0
133cb627c4a5
142096bd865a
15117a839850
hex9da9d0c18

42322431000 has 128 divisors (see below), whose sum is σ = 132921884160. Its totient is φ = 11211120000.

The previous prime is 42322430987. The next prime is 42322431061. The reversal of 42322431000 is 13422324.

It is a super-2 number, since 2×423224310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406287 + ... + 499713.

It is an arithmetic number, because the mean of its divisors is an integer number (1038452220).

Almost surely, 242322431000 is an apocalyptic number.

42322431000 is a gapful number since it is divisible by the number (40) 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 42322431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66460942080).

42322431000 is an abundant number, since it is smaller than the sum of its proper divisors (90599453160).

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

42322431000 is a wasteful number, since it uses less digits than its factorization.

42322431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93602 (or 93588 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 42322431000 its reverse (13422324), we get a palindrome (42335853324).

The spelling of 42322431000 in words is "forty-two billion, three hundred twenty-two million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 151 200 250 300 302 375 453 500 600 604 750 755 906 1000 1208 1500 1510 1812 2265 3000 3020 3624 3775 4530 6040 7550 9060 11325 15100 18120 18875 22650 30200 37750 45300 56625 75500 90600 93427 113250 151000 186854 226500 280281 373708 453000 467135 560562 747416 934270 1121124 1401405 1868540 2242248 2335675 2802810 3737080 4671350 5605620 7007025 9342700 11211240 11678375 14014050 14107477 18685400 23356750 28028100 28214954 35035125 42322431 46713500 56056200 56429908 70070250 70537385 84644862 93427000 112859816 140140500 141074770 169289724 211612155 280281000 282149540 338579448 352686925 423224310 564299080 705373850 846448620 1058060775 1410747700 1692897240 1763434625 2116121550 2821495400 3526869250 4232243100 5290303875 7053738500 8464486200 10580607750 14107477000 21161215500 42322431000