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2440440444040 = 235292103827969
BaseRepresentation
bin100011100000110101100…
…101011111010010001000
322122022012111020122002121
4203200311211133102020
5304441010223202130
65105042312141024
7341213250336214
oct43406545372210
98568174218077
102440440444040
11860a92010365
12334b82697774
13149195287231
1486191911944
1543734daed7a
hex2383595f488

2440440444040 has 32 divisors (see below), whose sum is σ = 5680335519000. Its totient is φ = 942514929664.

The previous prime is 2440440444017. The next prime is 2440440444059. The reversal of 2440440444040 is 404440440442.

It can be written as a sum of positive squares in 4 ways, for example, as 2414002334436 + 26438109604 = 1553706^2 + 162598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2440440443987 and 2440440444005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1051912825 + ... + 1051915144.

Almost surely, 22440440444040 is an apocalyptic number.

2440440444040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440440444040 is an abundant number, since it is smaller than the sum of its proper divisors (3239895074960).

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

2440440444040 is a wasteful number, since it uses less digits than its factorization.

2440440444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103828009 (or 2103828005 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 2440440444040 its reverse (404440440442), we get a palindrome (2844880884482).

The spelling of 2440440444040 in words is "two trillion, four hundred forty billion, four hundred forty million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2103827969 4207655938 8415311876 10519139845 16830623752 21038279690 42076559380 61011011101 84153118760 122022022202 244044044404 305055055505 488088088808 610110111010 1220220222020 2440440444040