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442544700642 = 231159571199033
BaseRepresentation
bin1100111000010011011…
…10000011110011100010
31120022021200221002112020
412130021232003303202
524222312420410032
6535145140442310
743654445614062
oct6341156036342
91508250832466
10442544700642
11160755a45720
12719273a9396
1332968971315
14175c26d93a2
15b7a19dab2c
hex6709b83ce2

442544700642 has 64 divisors (see below), whose sum is σ = 983641950720. Its totient is φ = 131599958400.

The previous prime is 442544700623. The next prime is 442544700649. The reversal of 442544700642 is 246007445244.

It is a junction number, because it is equal to n+sod(n) for n = 442544700594 and 442544700603.

It is not an unprimeable number, because it can be changed into a prime (442544700649) by changing a digit.

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, 2123958 + ... + 2322990.

It is an arithmetic number, because the mean of its divisors is an integer number (15369405480).

Almost surely, 2442544700642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442544700642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491820975360).

442544700642 is an abundant number, since it is smaller than the sum of its proper divisors (541097250078).

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

442544700642 is a wasteful number, since it uses less digits than its factorization.

442544700642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199679.

The product of its (nonzero) digits is 860160, while the sum is 42.

The spelling of 442544700642 in words is "four hundred forty-two billion, five hundred forty-four million, seven hundred thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 571 649 1142 1298 1713 1947 3426 3894 6281 12562 18843 33689 37686 67378 101067 199033 202134 370579 398066 597099 741158 1111737 1194198 2189363 2223474 4378726 6568089 11742947 13136178 23485894 35228841 70457682 113647843 129172417 227295686 258344834 340943529 387517251 681887058 775034502 1250126273 2500252546 3750378819 6705222737 7500757638 13410445474 20115668211 40231336422 73757450107 147514900214 221272350321 442544700642