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4043221344 = 253243132573
BaseRepresentation
bin1111000011111110…
…1010100101100000
3101102210000220222200
43300333222211200
531240031040334
61505112133200
7202123546221
oct36077524540
911383026880
104043221344
111795325048
1294a097200
134c5875586
142a4da5248
15189e61799
hexf0fea960

4043221344 has 72 divisors (see below), whose sum is σ = 11524941792. Its totient is φ = 1344572160.

The previous prime is 4043221331. The next prime is 4043221363. The reversal of 4043221344 is 4431223404.

It is a happy number.

4043221344 is a `hidden beast` number, since 404 + 3 + 2 + 213 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 107842 + ... + 140414.

It is an arithmetic number, because the mean of its divisors is an integer number (160068636).

Almost surely, 24043221344 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 4043221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762470896).

4043221344 is an abundant number, since it is smaller than the sum of its proper divisors (7481720448).

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

4043221344 is a wasteful number, since it uses less digits than its factorization.

4043221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33020 (or 33009 counting only the distinct ones).

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

The square root of 4043221344 is about 63586.3298516277. The cubic root of 4043221344 is about 1593.0980488969.

Adding to 4043221344 its reverse (4431223404), we get a palindrome (8474444748).

It can be divided in two parts, 40432 and 21344, that added together give a triangular number (61776 = T351).

The spelling of 4043221344 in words is "four billion, forty-three million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 431 862 1293 1724 2586 3448 3879 5172 6896 7758 10344 13792 15516 20688 31032 32573 41376 62064 65146 97719 124128 130292 195438 260584 293157 390876 521168 586314 781752 1042336 1172628 1563504 2345256 3127008 4690512 9381024 14038963 28077926 42116889 56155852 84233778 112311704 126350667 168467556 224623408 252701334 336935112 449246816 505402668 673870224 1010805336 1347740448 2021610672 4043221344