Search a number
-
+
4440040440040 = 235299601398669
BaseRepresentation
bin100000010011100011100…
…0010001000000011101000
3120201110112001102011201201
41000213013002020003220
51040221200323040130
613235420523453544
7635532225014662
oct100470702100350
916643461364651
104440040440040
111462013093227
125b86146872b4
132629039a823a
14114c831d9532
157a767bc7bca
hex409c70880e8

4440040440040 has 64 divisors (see below), whose sum is σ = 10335679218000. Its totient is φ = 1714591334400.

The previous prime is 4440040440007. The next prime is 4440040440041. The reversal of 4440040440040 is 400440400444.

It can be written as a sum of positive squares in 8 ways, for example, as 3157878269764 + 1282162170276 = 1777042^2 + 1132326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4440040439990 and 4440040440008.

It is not an unprimeable number, because it can be changed into a prime (4440040440041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10937826 + ... + 11336494.

Almost surely, 24440040440040 is an apocalyptic number.

4440040440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440040440040 is an abundant number, since it is smaller than the sum of its proper divisors (5895638777960).

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

4440040440040 is a wasteful number, since it uses less digits than its factorization.

4440040440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408310 (or 408306 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4440040440040 its reverse (400440400444), we get a palindrome (4840480840484).

The spelling of 4440040440040 in words is "four trillion, four hundred forty billion, forty million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 9601 19202 38404 48005 76808 96010 192020 278429 384040 398669 556858 797338 1113716 1392145 1594676 1993345 2227432 2784290 3189352 3986690 5568580 7973380 11137160 11561401 15946760 23122802 46245604 57807005 92491208 115614010 231228020 462456040 3827621069 7655242138 15310484276 19138105345 30620968552 38276210690 76552421380 111001011001 153104842760 222002022002 444004044004 555005055005 888008088008 1110010110010 2220020220020 4440040440040