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4144022440 = 235863120047
BaseRepresentation
bin1111011100000000…
…1100001110101000
3101200210201011002121
43313000030032220
531441332204230
61523112441024
7204456416035
oct36700141650
911623634077
104144022440
111837213438
129779a9174
135107098ac
142b452438c
15193c2377a
hexf700c3a8

4144022440 has 32 divisors (see below), whose sum is σ = 9334932480. Its totient is φ = 1655674432.

The previous prime is 4144022437. The next prime is 4144022461. The reversal of 4144022440 is 442204414.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25504 + ... + 94543.

It is an arithmetic number, because the mean of its divisors is an integer number (291716640).

Almost surely, 24144022440 is an apocalyptic number.

4144022440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144022440 is an abundant number, since it is smaller than the sum of its proper divisors (5190910040).

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

4144022440 is a wasteful number, since it uses less digits than its factorization.

4144022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120921 (or 120917 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 4144022440 is about 64374.0820517077. The cubic root of 4144022440 is about 1606.2286429153.

Adding to 4144022440 its reverse (442204414), we get a palindrome (4586226854).

The spelling of 4144022440 in words is "four billion, one hundred forty-four million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 863 1726 3452 4315 6904 8630 17260 34520 120047 240094 480188 600235 960376 1200470 2400940 4801880 103600561 207201122 414402244 518002805 828804488 1036005610 2072011220 4144022440