Search a number
-
+
442422311130 = 232513813559597
BaseRepresentation
bin1100111000000100110…
…11001011100011011010
31120021222011122001200100
412130002123023203122
524222040102424010
6535125045320230
743651431411252
oct6340233134332
91507864561610
10442422311130
111606a2951668
12718b2406076
13329494bb8a7
14175b035a962
15b795db22c0
hex67026cb8da

442422311130 has 48 divisors (see below), whose sum is σ = 1151131278024. Its totient is φ = 117893819520.

The previous prime is 442422311119. The next prime is 442422311131. The reversal of 442422311130 is 31113224244.

442422311130 is a `hidden beast` number, since 4 + 424 + 2 + 231 + 1 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 436000051809 + 6422259321 = 660303^2 + 80139^2 .

It is a super-2 number, since 2×4424223111302 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442422311094 and 442422311103.

It is not an unprimeable number, because it can be changed into a prime (442422311131) 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 23 ways as a sum of consecutive naturals, for example, 1655509 + ... + 1904088.

Almost surely, 2442422311130 is an apocalyptic number.

442422311130 is an abundant number, since it is smaller than the sum of its proper divisors (708708966894).

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

442422311130 is a wasteful number, since it uses less digits than its factorization.

442422311130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560991 (or 3560988 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 442422311130 its reverse (31113224244), we get a palindrome (473535535374).

The spelling of 442422311130 in words is "four hundred forty-two billion, four hundred twenty-two million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1381 2762 4143 6905 8286 12429 13810 20715 24858 41430 62145 124290 3559597 7119194 10678791 17797985 21357582 32036373 35595970 53393955 64072746 106787910 160181865 320363730 4915803457 9831606914 14747410371 24579017285 29494820742 44242231113 49158034570 73737051855 88484462226 147474103710 221211155565 442422311130