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42466204440 = 233251110723789
BaseRepresentation
bin100111100011001011…
…101101101100011000
311001121112122200222200
4213203023231230120
51143432322020230
631301514050200
73032231532132
oct474313555430
9131545580880
1042466204440
1117012079a30
128291a19960
134009cab22a
1420abd42052
151188289160
hex9e32edb18

42466204440 has 96 divisors (see below), whose sum is σ = 150562011600. Its totient is φ = 10294836480.

The previous prime is 42466204423. The next prime is 42466204471. The reversal of 42466204440 is 4440266424.

42466204440 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 6 + 204 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42466204395 and 42466204404.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5357935 + ... + 5365854.

Almost surely, 242466204440 is an apocalyptic number.

42466204440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42466204440 is an abundant number, since it is smaller than the sum of its proper divisors (108095807160).

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

42466204440 is a wasteful number, since it uses less digits than its factorization.

42466204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723817 (or 10723810 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 42466204440 in words is "forty-two billion, four hundred sixty-six million, two hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 10723789 21447578 32171367 42895156 53618945 64342734 85790312 96514101 107237890 117961679 128685468 160856835 193028202 214475780 235923358 257370936 321713670 353885037 386056404 428951560 471846716 482570505 589808395 643427340 707770074 772112808 943693432 965141010 1061655111 1179616790 1286854680 1415540148 1769425185 1930282020 2123310222 2359233580 2831080296 3538850370 3860564040 4246620444 4718467160 5308275555 7077700740 8493240888 10616551110 14155401480 21233102220 42466204440