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442432103031104 = 26311131973451787
BaseRepresentation
bin110010010011000111100000…
…0010101101010000101000000
32011000112002120222010022010012
41210212033000111222011000
5430442301421333443404
64204550300251524052
7162122443646454134
oct14446170025520500
92130462528108105
10442432103031104
11118a77445a8630a
1241756380159628
1315cb422598c6b4
147b37b842193c4
153623a1acb0a6e
hex19263c056a140

442432103031104 has 56 divisors (see below), whose sum is σ = 914292319573248. Its totient is φ = 212185536030720.

The previous prime is 442432103031097. The next prime is 442432103031133. The reversal of 442432103031104 is 401130301234244.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 986501702 + ... + 986950085.

It is an arithmetic number, because the mean of its divisors is an integer number (16326648563808).

Almost surely, 2442432103031104 is an apocalyptic number.

It is an amenable number.

442432103031104 is an abundant number, since it is smaller than the sum of its proper divisors (471860216542144).

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

442432103031104 is a wasteful number, since it uses less digits than its factorization.

442432103031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973451943 (or 1973451933 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 442432103031104 its reverse (401130301234244), we get a palindrome (843562404265348).

The spelling of 442432103031104 in words is "four hundred forty-two trillion, four hundred thirty-two billion, one hundred three million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 113 124 226 248 452 496 904 992 1808 1984 3503 3616 7006 7232 14012 28024 56048 112096 224192 1973451787 3946903574 7893807148 15787614296 31575228592 61177005397 63150457184 122354010794 126300914368 223000051931 244708021588 446000103862 489416043176 892000207724 978832086352 1784000415448 1957664172704 3568000830896 3915328345408 6913001609861 7136001661792 13826003219722 14272003323584 27652006439444 55304012878888 110608025757776 221216051515552 442432103031104