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4440004440440 = 235618112243741
BaseRepresentation
bin100000010011100010011…
…1000110011000101111000
3120201110102112200012120012
41000213010320303011320
51040221112114043230
613235413200121052
7635531310020612
oct100470470630570
916643375605505
104440004440440
111461aa4835198
125b8604606188
132628c93b24ba
14114c7c507db2
157a764966395
hex409c4e33178

4440004440440 has 64 divisors (see below), whose sum is σ = 10166305252320. Its totient is φ = 1744732224000.

The previous prime is 4440004440437. The next prime is 4440004440457. The reversal of 4440004440440 is 440444000444.

It is a super-2 number, since 2×44400044404402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4440004440397 and 4440004440406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856970 + ... + 3100710.

Almost surely, 24440004440440 is an apocalyptic number.

4440004440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440004440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083152626160).

4440004440440 is an abundant number, since it is smaller than the sum of its proper divisors (5726300811880).

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

4440004440440 is a wasteful number, since it uses less digits than its factorization.

4440004440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244624 (or 2244620 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4440004440440 its reverse (440444000444), we get a palindrome (4880448440884).

The spelling of 4440004440440 in words is "four trillion, four hundred forty billion, four million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 811 1220 1622 2440 3244 4055 6488 8110 16220 32440 49471 98942 197884 247355 395768 494710 989420 1978840 2243741 4487482 8974964 11218705 17949928 22437410 44874820 89749640 136868201 273736402 547472804 684341005 1094945608 1368682010 1819673951 2737364020 3639347902 5474728040 7278695804 9098369755 14557391608 18196739510 36393479020 72786958040 111000111011 222000222022 444000444044 555000555055 888000888088 1110001110110 2220002220220 4440004440440