Search a number
-
+
441400441332042 = 23261430679334387
BaseRepresentation
bin110010001011100111000110…
…0100000100110000101001010
32010212212110200200121220200100
41210113032030200212011022
5430323401100440111132
64202440321405150230
7161655062263634433
oct14427161440460512
92125773620556610
10441400441332042
1111870996a934285
124160a44285b376
1315c3ab62ca28aa
147addc76bb248a
153606c89ad537c
hex191738c82614a

441400441332042 has 48 divisors (see below), whose sum is σ = 972068455324512. Its totient is φ = 144718080291360.

The previous prime is 441400441332023. The next prime is 441400441332127. The reversal of 441400441332042 is 240233144004144.

441400441332042 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 0 + 0 + 441 + 3 + 3 + 204 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 441400441331988 and 441400441332006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42620373 + ... + 51954759.

It is an arithmetic number, because the mean of its divisors is an integer number (20251426152594).

Almost surely, 2441400441332042 is an apocalyptic number.

441400441332042 is an abundant number, since it is smaller than the sum of its proper divisors (530668013992470).

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

441400441332042 is a wasteful number, since it uses less digits than its factorization.

441400441332042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377523 (or 9377520 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 441400441332042 its reverse (240233144004144), we get a palindrome (681633585336186).

The spelling of 441400441332042 in words is "four hundred forty-one trillion, four hundred billion, four hundred forty-one million, three hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 43067 86134 129201 258402 387603 775206 2627087 5254174 7881261 9334387 15762522 18668774 23643783 28003161 47287566 56006322 84009483 168018966 569397607 1138795214 1708192821 3416385642 5124578463 10249156926 402004044929 804008089858 1206012134787 2412024269574 3618036404361 7236072808722 24522246740669 49044493481338 73566740222007 147133480444014 220700220666021 441400441332042