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4144155008 = 27721738867
BaseRepresentation
bin1111011100000010…
…1100100110000000
3101200210221212221112
43313000230212000
531441400430013
61523115342452
7204460510400
oct36700544600
911623855845
104144155008
1118372a3aa4
12977a51a28
13510755036
142b455a800
15193c4cba8
hexf702c980

4144155008 has 96 divisors (see below), whose sum is σ = 10169034840. Its totient is φ = 1671548928.

The previous prime is 4144155007. The next prime is 4144155083. The reversal of 4144155008 is 8005514414.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144155007) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 87191 + ... + 126057.

Almost surely, 24144155008 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 4144155008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084517420).

4144155008 is an abundant number, since it is smaller than the sum of its proper divisors (6024879832).

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

4144155008 is a wasteful number, since it uses less digits than its factorization.

4144155008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38912 (or 38893 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 4144155008 is about 64375.1117125244. Note that the first 3 decimals coincide. The cubic root of 4144155008 is about 1606.2457705774.

The spelling of 4144155008 in words is "four billion, one hundred forty-four million, one hundred fifty-five thousand, eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 272 392 448 476 544 784 833 896 952 1088 1568 1666 1904 2176 3136 3332 3808 6272 6664 7616 13328 15232 26656 38867 53312 77734 106624 155468 272069 310936 544138 621872 660739 1088276 1243744 1321478 1904483 2176552 2487488 2642956 3808966 4353104 4625173 4974976 5285912 7617932 8706208 9250346 10571824 15235864 17412416 18500692 21143648 30471728 32376211 34824832 37001384 42287296 60943456 64752422 74002768 84574592 121886912 129504844 148005536 243773824 259009688 296011072 518019376 592022144 1036038752 2072077504 4144155008