Search a number
-
+
444525211242 = 23273527977867
BaseRepresentation
bin1100111011111111100…
…01000110111001101010
31120111101201121110022200
412131333301012321222
524240341423224432
6540113450001030
744054514644340
oct6357761067152
91514351543280
10444525211242
11161581990642
127219a716176
1332bc3083798
141772d75d990
15b86a7eda7c
hex677fc46e6a

444525211242 has 24 divisors (see below), whose sum is σ = 1100729094816. Its totient is φ = 127007203176.

The previous prime is 444525211183. The next prime is 444525211303. The reversal of 444525211242 is 242112525444.

444525211242 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 2 + 521 + 124 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444525211197 and 444525211206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1763988808 + ... + 1763989059.

It is an arithmetic number, because the mean of its divisors is an integer number (45863712284).

Almost surely, 2444525211242 is an apocalyptic number.

444525211242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

444525211242 is an abundant number, since it is smaller than the sum of its proper divisors (656203883574).

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

444525211242 is a wasteful number, since it uses less digits than its factorization.

444525211242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527977882 (or 3527977879 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

Adding to 444525211242 its reverse (242112525444), we get a palindrome (686637736686).

The spelling of 444525211242 in words is "four hundred forty-four billion, five hundred twenty-five million, two hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 3527977867 7055955734 10583933601 21167867202 24695845069 31751800803 49391690138 63503601606 74087535207 148175070414 222262605621 444525211242