Search a number
-
+
442440112030340 = 225177712449074621
BaseRepresentation
bin110010010011001011001110…
…1101101100100001010000100
32011000112212021010110121122112
41210212112131231210022010
5430442414322134432330
64204554103112320152
7162123146300025134
oct14446263555441204
92130485233417575
10442440112030340
11118a7a88593aa46
1241757a363a3058
1315cb4c010339b8
147b38303b86ac4
153623d38e87795
hex192659db64284

442440112030340 has 24 divisors (see below), whose sum is σ = 929647096472472. Its totient is φ = 176876452200960.

The previous prime is 442440112030327. The next prime is 442440112030417. The reversal of 442440112030340 is 43030211044244.

It can be written as a sum of positive squares in 4 ways, for example, as 67256925865024 + 375183186165316 = 8201032^2 + 19369646^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442440112030297 and 442440112030306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6224501771 + ... + 6224572850.

It is an arithmetic number, because the mean of its divisors is an integer number (38735295686353).

Almost surely, 2442440112030340 is an apocalyptic number.

It is an amenable number.

442440112030340 is an abundant number, since it is smaller than the sum of its proper divisors (487206984442132).

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

442440112030340 is a wasteful number, since it uses less digits than its factorization.

442440112030340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12449076407 (or 12449076405 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 442440112030340 its reverse (43030211044244), we get a palindrome (485470323074584).

The spelling of 442440112030340 in words is "four hundred forty-two trillion, four hundred forty billion, one hundred twelve million, thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1777 3554 7108 8885 17770 35540 12449074621 24898149242 49796298484 62245373105 124490746210 248981492420 22122005601517 44244011203034 88488022406068 110610028007585 221220056015170 442440112030340