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2440044040 = 235764713469
BaseRepresentation
bin1001000101110000…
…0001111000001000
320022001101002011111
42101130001320020
514444122402130
61042042340104
7114316014010
oct22134017010
96261332144
102440044040
111042383225
125811ba634
132cb699555
141920c4c40
15e433602a
hex91701e08

2440044040 has 64 divisors (see below), whose sum is σ = 6284563200. Its totient is φ = 835231488.

The previous prime is 2440044037. The next prime is 2440044059. The reversal of 2440044040 is 404400442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174426 + ... + 187894.

It is an arithmetic number, because the mean of its divisors is an integer number (98196300).

Almost surely, 22440044040 is an apocalyptic number.

2440044040 is a gapful number since it is divisible by the number (20) 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 2440044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142281600).

2440044040 is an abundant number, since it is smaller than the sum of its proper divisors (3844519160).

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

2440044040 is a wasteful number, since it uses less digits than its factorization.

2440044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14134 (or 14130 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2440044040 is about 49396.8019207722. The cubic root of 2440044040 is about 1346.2711990528.

Adding to 2440044040 its reverse (404400442), we get a palindrome (2844444482).

The spelling of 2440044040 in words is "two billion, four hundred forty million, forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 647 1294 2588 3235 4529 5176 6470 9058 12940 13469 18116 22645 25880 26938 36232 45290 53876 67345 90580 94283 107752 134690 181160 188566 269380 377132 471415 538760 754264 942830 1885660 3771320 8714443 17428886 34857772 43572215 61001101 69715544 87144430 122002202 174288860 244004404 305005505 348577720 488008808 610011010 1220022020 2440044040