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42020220020 = 2255399739761
BaseRepresentation
bin100111001000100110…
…011010110001110100
311000110110110100101012
4213020212122301310
51142024134020040
631145343051352
73015204656042
oct471046326164
9130413410335
1042020220020
1116903356269
1281885a0b58
133c6878921c
142068a0b392
15115e040865
hex9c899ac74

42020220020 has 48 divisors (see below), whose sum is σ = 89999855568. Its totient is φ = 16473999360.

The previous prime is 42020219993. The next prime is 42020220029. The reversal of 42020220020 is 2002202024.

It can be written as a sum of positive squares in 8 ways, for example, as 139876 + 42020080144 = 374^2 + 204988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42020219977 and 42020220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42020220029) by changing a digit.

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, 1036940 + ... + 1076700.

It is an arithmetic number, because the mean of its divisors is an integer number (1874996991).

Almost surely, 242020220020 is an apocalyptic number.

It is an amenable number.

42020220020 is an abundant number, since it is smaller than the sum of its proper divisors (47979635548).

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

42020220020 is a wasteful number, since it uses less digits than its factorization.

42020220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40820 (or 40818 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 42020220020 its reverse (2002202024), we get a palindrome (44022422044).

The spelling of 42020220020 in words is "forty-two billion, twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 997 1060 1994 3988 4985 9970 19940 39761 52841 79522 105682 159044 198805 211364 264205 397610 528410 795220 1056820 2107333 4214666 8429332 10536665 21073330 39641717 42146660 79283434 158566868 198208585 396417170 792834340 2101011001 4202022002 8404044004 10505055005 21010110010 42020220020