Search a number
-
+
4443043104 = 25354712157
BaseRepresentation
bin1000010001101001…
…10111010100100000
3102110122100222100000
410020310313110200
533044404334404
62012513500000
7215050146303
oct41064672440
912418328300
104443043104
11197aa89055
12a3bb71600
1355a6539b6
14302120b3a
151b00dc339
hex108d37520

4443043104 has 144 divisors (see below), whose sum is σ = 13382748288. Its totient is φ = 1449384192.

The previous prime is 4443043091. The next prime is 4443043127. The reversal of 4443043104 is 4013403444.

4443043104 is a `hidden beast` number, since 4 + 44 + 304 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359394 + ... + 371550.

It is an arithmetic number, because the mean of its divisors is an integer number (92935752).

Almost surely, 24443043104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4443043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691374144).

4443043104 is an abundant number, since it is smaller than the sum of its proper divisors (8939705184).

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

4443043104 is a wasteful number, since it uses less digits than its factorization.

4443043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12229 (or 12209 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4443043104 is about 66656.1557847435. The cubic root of 4443043104 is about 1643.9685645862.

Adding to 4443043104 its reverse (4013403444), we get a palindrome (8456446548).

The spelling of 4443043104 in words is "four billion, four hundred forty-three million, forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 243 282 288 324 376 423 432 486 564 648 752 846 864 972 1128 1269 1296 1504 1692 1944 2256 2538 2592 3384 3807 3888 4512 5076 6768 7614 7776 10152 11421 12157 13536 15228 20304 22842 24314 30456 36471 40608 45684 48628 60912 72942 91368 97256 109413 121824 145884 182736 194512 218826 291768 328239 365472 389024 437652 571379 583536 656478 875304 984717 1142758 1167072 1312956 1714137 1750608 1969434 2285516 2625912 2954151 3428274 3501216 3938868 4571032 5142411 5251824 5908302 6856548 7877736 9142064 10284822 10503648 11816604 13713096 15427233 15755472 18284128 20569644 23633208 27426192 30854466 31510944 41139288 46281699 47266416 54852384 61708932 82278576 92563398 94532832 123417864 138845097 164557152 185126796 246835728 277690194 370253592 493671456 555380388 740507184 1110760776 1481014368 2221521552 4443043104