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4144313514 = 2311731078039
BaseRepresentation
bin1111011100000101…
…0011010010101010
3101200211020221101010
43313001103102222
531441421013024
61523123004350
7204462040455
oct36701232252
911624227333
104144313514
1118373a20a0
12977b096b6
135107ac223
142b459c49c
15193c7eb29
hexf70534aa

4144313514 has 64 divisors (see below), whose sum is σ = 9252817920. Its totient is φ = 1226920320.

The previous prime is 4144313491. The next prime is 4144313521. The reversal of 4144313514 is 4153134414.

4144313514 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511507 + ... + 519545.

It is an arithmetic number, because the mean of its divisors is an integer number (144575280).

Almost surely, 24144313514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144313514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626408960).

4144313514 is an abundant number, since it is smaller than the sum of its proper divisors (5108504406).

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

4144313514 is a wasteful number, since it uses less digits than its factorization.

4144313514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8235.

The product of its digits is 11520, while the sum is 30.

The square root of 4144313514 is about 64376.3428131794. The cubic root of 4144313514 is about 1606.2662489254.

Adding to 4144313514 its reverse (4153134414), we get a palindrome (8297447928).

Subtracting 4144313514 from its reverse (4153134414), we obtain a square (8820900 = 29702).

The spelling of 4144313514 in words is "four billion, one hundred forty-four million, three hundred thirteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 73 107 146 214 219 321 438 642 803 1177 1606 2354 2409 3531 4818 7062 7811 8039 15622 16078 23433 24117 46866 48234 85921 88429 171842 176858 257763 265287 515526 530574 586847 860173 1173694 1720346 1760541 2580519 3521082 5161038 6455317 9461903 12910634 18923806 19365951 28385709 38731902 56771418 62792629 125585258 188377887 376755774 690718919 1381437838 2072156757 4144313514