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2440042100 = 225224400421
BaseRepresentation
bin1001000101110000…
…0001011001110100
320022001100222111122
42101130001121310
514444122321400
61042042323112
7114316005236
oct22134013164
96261328448
102440042100
111042381821
125811b9498
132cb6986c2
141920c4256
15e4335685
hex91701674

2440042100 has 18 divisors (see below), whose sum is σ = 5294891574. Its totient is φ = 976016800.

The previous prime is 2440042043. The next prime is 2440042117. The reversal of 2440042100 is 12400442.

It can be written as a sum of positive squares in 3 ways, for example, as 77284 + 2439964816 = 278^2 + 49396^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12200111 + ... + 12200310.

It is an arithmetic number, because the mean of its divisors is an integer number (294160643).

Almost surely, 22440042100 is an apocalyptic number.

2440042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440042100 is an abundant number, since it is smaller than the sum of its proper divisors (2854849474).

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

2440042100 is a wasteful number, since it uses less digits than its factorization.

2440042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24400435 (or 24400428 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2440042100 is about 49396.7822838695. The cubic root of 2440042100 is about 1346.2708422605.

Adding to 2440042100 its reverse (12400442), we get a palindrome (2452442542).

The spelling of 2440042100 in words is "two billion, four hundred forty million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 24400421 48800842 97601684 122002105 244004210 488008420 610010525 1220021050 2440042100