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442510730446106 = 27217941585748193
BaseRepresentation
bin110010010011101100000111…
…0111001011100010100011010
32011000210121112122110211110202
41210213120032321130110122
5431000043433443233411
64205050342334142202
7162131226263454200
oct14447301671342432
92130717478424422
10442510730446106
11118aa7824118a23
1241769664351962
1315cbb77662422a
147b3b8c297b070
153625abda0283b
hex192760ee5c51a

442510730446106 has 96 divisors (see below), whose sum is σ = 818581374883152. Its totient is φ = 178267898511360.

The previous prime is 442510730446067. The next prime is 442510730446133. The reversal of 442510730446106 is 601644037015244.

It can be written as a sum of positive squares in 8 ways, for example, as 429522930754225 + 12987799691881 = 20724935^2 + 3603859^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9182029946 + ... + 9182078138.

Almost surely, 2442510730446106 is an apocalyptic number.

442510730446106 is a deficient number, since it is larger than the sum of its proper divisors (376070644437046).

442510730446106 is a wasteful number, since it uses less digits than its factorization.

442510730446106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55024 (or 55017 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 442510730446106 in words is "four hundred forty-two trillion, five hundred ten billion, seven hundred thirty million, four hundred forty-six thousand, one hundred six".

Divisors: 1 2 7 14 17 34 49 98 119 238 833 941 1666 1882 5857 6587 11714 13174 15997 31994 40999 46109 48193 81998 92218 96386 99569 111979 199138 223958 286993 337351 573986 674702 696983 783853 819281 1393966 1567706 1638562 2361457 4722914 4878881 5511437 5734967 9757762 11022874 11469934 38580059 40144769 45349613 77160118 80289538 90699226 93694429 187388858 270060413 282266401 317447291 540120826 564532802 634894582 655861003 770943421 1311722006 1541886842 1975864807 2222131037 3951729614 4444262074 4591027021 4798528817 5396603947 9182054042 9597057634 10793207894 13831053649 27662107298 33589701719 37776227629 67179403438 75552455258 235127912033 265612683341 470255824066 531225366682 1859288783387 3718577566774 4515415616797 9030831233594 13015021483709 26030042967418 31607909317579 63215818635158 221255365223053 442510730446106