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4144165050 = 2352191997307
BaseRepresentation
bin1111011100000010…
…1111000010111010
3101200210222101201110
43313000233002322
531441401240200
61523115501150
7204460551564
oct36700570272
911623871643
104144165050
1118373005a3
12977a577b6
1351075978c
142b4560334
15193c50b50
hexf702f0ba

4144165050 has 96 divisors (see below), whose sum is σ = 10874304000. Its totient is φ = 1041543360.

The previous prime is 4144165019. The next prime is 4144165061. The reversal of 4144165050 is 505614414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4144164999 and 4144165017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563497 + ... + 570803.

It is an arithmetic number, because the mean of its divisors is an integer number (113274000).

Almost surely, 24144165050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144165050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437152000).

4144165050 is an abundant number, since it is smaller than the sum of its proper divisors (6730138950).

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

4144165050 is a wasteful number, since it uses less digits than its factorization.

4144165050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4144165050 is about 64375.1897084583. The cubic root of 4144165050 is about 1606.2470679795.

Adding to 4144165050 its reverse (505614414), we get a palindrome (4649779464).

It can be divided in two parts, 41441 and 65050, that added together give a triangular number (106491 = T461).

The spelling of 4144165050 in words is "four billion, one hundred forty-four million, one hundred sixty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 199 285 398 475 570 597 950 995 1194 1425 1990 2850 2985 3781 4975 5970 7307 7562 9950 11343 14614 14925 18905 21921 22686 29850 36535 37810 43842 56715 73070 94525 109605 113430 138833 182675 189050 219210 277666 283575 365350 416499 548025 567150 694165 832998 1096050 1388330 1454093 2082495 2908186 3470825 4164990 4362279 6941650 7270465 8724558 10412475 14540930 20824950 21811395 27627767 36352325 43622790 55255534 72704650 82883301 109056975 138138835 165766602 218113950 276277670 414416505 690694175 828833010 1381388350 2072082525 4144165050