Search a number
-
+
2444411444032 = 26672572218127
BaseRepresentation
bin100011100100100010010…
…001101001101101000000
322122200110020101100000101
4203210202101221231000
5310022123312202112
65110540324332144
7341413536310525
oct43444221515500
98580406340011
102444411444032
1186273a597438
123358b0544054
13149678b93b7c
148644b07714c
15438b8807757
hex23922469b40

2444411444032 has 56 divisors (see below), whose sum is σ = 4942184379264. Its totient is φ = 1199278620672.

The previous prime is 2444411444029. The next prime is 2444411444047. The reversal of 2444411444032 is 2304441144442.

It is a junction number, because it is equal to n+sod(n) for n = 2444411443982 and 2444411444000.

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, 7048 + ... + 2211079.

Almost surely, 22444411444032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444411444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471092189632).

2444411444032 is an abundant number, since it is smaller than the sum of its proper divisors (2497772935232).

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

2444411444032 is a wasteful number, since it uses less digits than its factorization.

2444411444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218463 (or 2218453 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 2444411444032 its reverse (2304441144442), we get a palindrome (4748852588474).

The spelling of 2444411444032 in words is "two trillion, four hundred forty-four billion, four hundred eleven million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 67 134 257 268 514 536 1028 1072 2056 2144 4112 4288 8224 16448 17219 34438 68876 137752 275504 551008 1102016 2218127 4436254 8872508 17745016 35490032 70980064 141960128 148614509 297229018 570058639 594458036 1140117278 1188916072 2280234556 2377832144 4560469112 4755664288 9120938224 9511328576 18241876448 36483752896 38193928813 76387857626 152775715252 305551430504 611102861008 1222205722016 2444411444032