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4102117452 = 223361632
BaseRepresentation
bin1111010010000001…
…0101100001001100
3101120212212011021000
43310200111201030
531400120224302
61515014340300
7203440265046
oct36440254114
911525764230
104102117452
1118155a1614
1296595a690
13504b26c44
142acb36a96
151901e731c
hexf481584c

4102117452 has 36 divisors (see below), whose sum is σ = 10636845240. Its totient is φ = 1367150616.

The previous prime is 4102117441. The next prime is 4102117477. The reversal of 4102117452 is 2547112014.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×41021174523 (a number of 30 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 662523 + ... + 668685.

Almost surely, 24102117452 is an apocalyptic number.

It is an amenable number.

4102117452 is an abundant number, since it is smaller than the sum of its proper divisors (6534727788).

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

4102117452 is an frugal number, since it uses more digits than its factorization.

4102117452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4102117452 is about 64047.7747622819. The cubic root of 4102117452 is about 1600.7961470072.

Multiplying 4102117452 by its sum of digits (27), we get a square (110757171204 = 3328022).

4102117452 divided by its sum of digits (27) gives a square (151930276 = 123262).

Adding to 4102117452 its reverse (2547112014), we get a palindrome (6649229466).

The spelling of 4102117452 in words is "four billion, one hundred two million, one hundred seventeen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 6163 12326 18489 24652 36978 55467 73956 110934 166401 221868 332802 665604 37982569 75965138 113947707 151930276 227895414 341843121 455790828 683686242 1025529363 1367372484 2051058726 4102117452