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42144439805 = 51329831671613
BaseRepresentation
bin100111010000000000…
…010001110111111101
311000210010012100212222
4213100000101313331
51142302434033210
631205541335125
73021243553616
oct472000216775
9130703170788
1042144439805
111696748a446
1282021074a5
133c8842ca60
14207b304c0d
151169dcb655
hex9d0011dfd

42144439805 has 64 divisors (see below), whose sum is σ = 57397455360. Its totient is φ = 29490779136.

The previous prime is 42144439741. The next prime is 42144439819. The reversal of 42144439805 is 50893444124.

It is not a de Polignac number, because 42144439805 - 26 = 42144439741 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 26127179 + ... + 26128791.

It is an arithmetic number, because the mean of its divisors is an integer number (896835240).

Almost surely, 242144439805 is an apocalyptic number.

It is an amenable number.

42144439805 is a deficient number, since it is larger than the sum of its proper divisors (15253015555).

42144439805 is a wasteful number, since it uses less digits than its factorization.

42144439805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910.

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 42144439805 in words is "forty-two billion, one hundred forty-four million, four hundred thirty-nine thousand, eight hundred five".

Divisors: 1 5 13 29 65 83 145 167 377 415 835 1079 1613 1885 2171 2407 4843 5395 8065 10855 12035 13861 20969 24215 31291 46777 62959 69305 104845 133879 156455 180193 233885 269371 314795 401969 608101 669395 900965 1346855 1740427 2009845 3040505 3501823 3882491 5225597 7811759 8702135 17509115 19412455 22357793 26127985 39058795 50472383 101552867 111788965 252361915 290651309 507764335 648375997 1453256545 3241879985 8428887961 42144439805