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42221202040 = 2351794165983
BaseRepresentation
bin100111010100100101…
…000110101001111000
311000222110122021212201
4213110211012221320
51142432111431130
631221322515544
73023165203333
oct472445065170
9130873567781
1042221202040
11169a684a006
128223965bb4
133c9b2c84b4
1420875a761a
1511719e0bca
hex9d4946a78

42221202040 has 64 divisors (see below), whose sum is σ = 100694223360. Its totient is φ = 15877908480.

The previous prime is 42221202031. The next prime is 42221202059. The reversal of 42221202040 is 4020212224.

It is a junction number, because it is equal to n+sod(n) for n = 42221201999 and 42221202017.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 606889 + ... + 672871.

It is an arithmetic number, because the mean of its divisors is an integer number (1573347240).

Almost surely, 242221202040 is an apocalyptic number.

42221202040 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 42221202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50347111680).

42221202040 is an abundant number, since it is smaller than the sum of its proper divisors (58473021320).

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

42221202040 is a wasteful number, since it uses less digits than its factorization.

42221202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66952 (or 66948 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 42221202040 its reverse (4020212224), we get a palindrome (46241414264).

The spelling of 42221202040 in words is "forty-two billion, two hundred twenty-one million, two hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 941 1882 3764 4705 7528 9410 15997 18820 31994 37640 63988 65983 79985 127976 131966 159970 263932 319940 329915 527864 639880 659830 1121711 1319660 2243422 2639320 4486844 5608555 8973688 11217110 22434220 44868440 62090003 124180006 248360012 310450015 496720024 620900030 1055530051 1241800060 2111060102 2483600120 4222120204 5277650255 8444240408 10555300510 21110601020 42221202040