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42043034020 = 225131376171913
BaseRepresentation
bin100111001001111101…
…011100100110100100
311000112001101102022011
4213021331130212210
51142101004042040
631151520044004
73015602615131
oct471175344644
9130461342264
1042043034020
1116915218809
128194163604
133c70416430
14206ba69588
15116104a3ea
hex9c9f5c9a4

42043034020 has 96 divisors (see below), whose sum is σ = 95981342688. Its totient is φ = 15377252352.

The previous prime is 42043034017. The next prime is 42043034071. The reversal of 42043034020 is 2043034024.

It can be written as a sum of positive squares in 16 ways, for example, as 18007492864 + 24035541156 = 134192^2 + 155034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42043033982 and 42043034000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21976584 + ... + 21978496.

It is an arithmetic number, because the mean of its divisors is an integer number (999805653).

Almost surely, 242043034020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42043034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47990671344).

42043034020 is an abundant number, since it is smaller than the sum of its proper divisors (53938308668).

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

42043034020 is a wasteful number, since it uses less digits than its factorization.

42043034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 42043034020 its reverse (2043034024), we get a palindrome (44086068044).

The spelling of 42043034020 in words is "forty-two billion, forty-three million, thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 548 617 685 1234 1370 1781 1913 2468 2740 3085 3562 3826 6170 7124 7652 8021 8905 9565 12340 16042 17810 19130 24869 32084 35620 38260 40105 49738 80210 84529 99476 124345 160420 169058 248690 262081 338116 422645 497380 524162 845290 1048324 1098877 1180321 1310405 1690580 2197754 2360642 2620810 3407053 4395508 4721284 5241620 5494385 5901605 6814106 10988770 11803210 13628212 15344173 17035265 21977540 23606420 30688346 34070530 61376692 68141060 76720865 153441730 161703977 306883460 323407954 646815908 808519885 1617039770 2102151701 3234079540 4204303402 8408606804 10510758505 21021517010 42043034020