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4144506344 = 2311234314751
BaseRepresentation
bin1111011100001000…
…0010010111101000
3101200211121201212222
43313002002113220
531441443200334
61523131053212
7204463502606
oct36702022750
911624551788
104144506344
111837513a60
12977ba1208
13510848c24
142b460c876
15193cbbd2e
hexf70825e8

4144506344 has 64 divisors (see below), whose sum is σ = 8868372480. Its totient is φ = 1797400000.

The previous prime is 4144506341. The next prime is 4144506391. The reversal of 4144506344 is 4436054414.

It is not an unprimeable number, because it can be changed into a prime (4144506341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 869969 + ... + 874719.

It is an arithmetic number, because the mean of its divisors is an integer number (138568320).

Almost surely, 24144506344 is an apocalyptic number.

4144506344 is a gapful number since it is divisible by the number (44) 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 4144506344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434186240).

4144506344 is an abundant number, since it is smaller than the sum of its proper divisors (4723866136).

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

4144506344 is a wasteful number, since it uses less digits than its factorization.

4144506344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The square root of 4144506344 is about 64377.8404732560. The cubic root of 4144506344 is about 1606.2911610945.

The spelling of 4144506344 in words is "four billion, one hundred forty-four million, five hundred six thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 431 506 862 1012 1724 2024 3448 4741 4751 9482 9502 9913 18964 19004 19826 37928 38008 39652 52261 79304 104522 109043 109273 209044 218086 218546 418088 436172 437092 872344 874184 1202003 2047681 2404006 4095362 4808012 8190724 9616024 16381448 22524491 45048982 47096663 90097964 94193326 180195928 188386652 376773304 518063293 1036126586 2072253172 4144506344