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4124211144 = 2332318733989
BaseRepresentation
bin1111010111010010…
…0111011111001000
3101122102102122002220
43311310213133020
531421244224034
61521124054040
7204126134124
oct36564473710
911572378086
104124211144
111827011969
12971234320
13509591331
142b1a48584
1519210d749
hexf5d277c8

4124211144 has 64 divisors (see below), whose sum is σ = 10767254400. Its totient is φ = 1313934336.

The previous prime is 4124211127. The next prime is 4124211149. The reversal of 4124211144 is 4411124214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4124211149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1031902 + ... + 1035890.

It is an arithmetic number, because the mean of its divisors is an integer number (168238350).

Almost surely, 24124211144 is an apocalyptic number.

It is an amenable number.

4124211144 is an abundant number, since it is smaller than the sum of its proper divisors (6643043256).

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

4124211144 is a wasteful number, since it uses less digits than its factorization.

4124211144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894 (or 5890 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 4124211144 is about 64220.0213640575. The cubic root of 4124211144 is about 1603.6649248357.

Adding to 4124211144 its reverse (4411124214), we get a palindrome (8535335358).

The spelling of 4124211144 in words is "four billion, one hundred twenty-four million, two hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1873 3746 3989 5619 7492 7978 11238 11967 14984 15956 22476 23934 31912 43079 44952 47868 86158 91747 95736 129237 172316 183494 258474 275241 344632 366988 516948 550482 733976 1033896 1100964 2201928 7471397 14942794 22414191 29885588 44828382 59771176 89656764 171842131 179313528 343684262 515526393 687368524 1031052786 1374737048 2062105572 4124211144