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422020240040 = 23572488944041
BaseRepresentation
bin1100010010000100101…
…11011101001010101000
31111100022022112110120202
412021002113131022220
523403244140140130
6521512354211332
742330024565400
oct6110227351250
91440268473522
10422020240040
11152a83472693
1269959883b48
1330a47728a89
14165d68d1800
15ae9ebc4145
hex62425dd2a8

422020240040 has 96 divisors (see below), whose sum is σ = 1104824399400. Its totient is φ = 144659773440.

The previous prime is 422020240013. The next prime is 422020240063. The reversal of 422020240040 is 40042020224.

It can be written as a sum of positive squares in 4 ways, for example, as 376718523076 + 45301716964 = 613774^2 + 212842^2 .

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 = 422020239994 and 422020240021.

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 23 ways as a sum of consecutive naturals, for example, 9560420 + ... + 9604460.

Almost surely, 2422020240040 is an apocalyptic number.

422020240040 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 422020240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552412199700).

422020240040 is an abundant number, since it is smaller than the sum of its proper divisors (682804159360).

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

422020240040 is a wasteful number, since it uses less digits than its factorization.

422020240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48955 (or 48944 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 422020240040 its reverse (40042020224), we get a palindrome (462062260264).

The spelling of 422020240040 in words is "four hundred twenty-two billion, twenty million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 4889 9778 19556 24445 34223 39112 44041 48890 68446 88082 97780 136892 171115 176164 195560 220205 239561 273784 308287 342230 352328 440410 479122 616574 684460 880820 958244 1197805 1233148 1368920 1541435 1761640 1916488 2158009 2395610 2466296 3082870 4316018 4791220 6165740 8632036 9582440 10790045 12331480 17264072 21580090 43160180 86320360 215316449 430632898 861265796 1076582245 1507215143 1722531592 2153164490 3014430286 4306328980 6028860572 7536075715 8612657960 10550506001 12057721144 15072151430 21101012002 30144302860 42202024004 52752530005 60288605720 84404048008 105505060010 211010120020 422020240040