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442044520332 = 2234328110312957
BaseRepresentation
bin1100110111010111110…
…10000001011110001100
31120020222211202022010120
412123223322001132030
524220301344122312
6535023352104540
743636163266332
oct6335372013614
91506884668116
10442044520332
11160519675868
1271807995150
13328b915513c
14175760d7b52
15b772b3928c
hex66ebe8178c

442044520332 has 96 divisors (see below), whose sum is σ = 1060565958144. Its totient is φ = 143221747200.

The previous prime is 442044520327. The next prime is 442044520343. The reversal of 442044520332 is 233025440244.

It is a super-2 number, since 2×4420445203322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442044520293 and 442044520302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149489398 + ... + 149492354.

It is an arithmetic number, because the mean of its divisors is an integer number (11047562064).

Almost surely, 2442044520332 is an apocalyptic number.

It is an amenable number.

442044520332 is an abundant number, since it is smaller than the sum of its proper divisors (618521437812).

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

442044520332 is a wasteful number, since it uses less digits than its factorization.

442044520332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 33.

Adding to 442044520332 its reverse (233025440244), we get a palindrome (675069960576).

The spelling of 442044520332 in words is "four hundred forty-two billion, forty-four million, five hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 281 516 562 843 1031 1124 1686 2062 2957 3093 3372 4124 5914 6186 8871 11828 12083 12372 17742 24166 35484 36249 44333 48332 72498 88666 127151 132999 144996 177332 254302 265998 289711 381453 508604 531996 579422 762906 830917 869133 1158844 1525812 1661834 1738266 2492751 3048667 3323668 3476532 4985502 6097334 9146001 9971004 12194668 12457573 18292002 24915146 35729431 36584004 37372719 49830292 71458862 74745438 107188293 131092681 142917724 149490876 214376586 262185362 393278043 428753172 524370724 786556086 856675427 1573112172 1713350854 2570026281 3426701708 5140052562 10280105124 36837043361 73674086722 110511130083 147348173444 221022260166 442044520332