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4067144117 = 41127777681
BaseRepresentation
bin1111001001101011…
…1011000110110101
3101111110001022212022
43302122323012311
531312142102432
61511325002525
7202534104011
oct36232730665
911443038768
104067144117
1117a7884633
129560b3445
134ca80036a
142a8231541
1518c0d9b12
hexf26bb1b5

4067144117 has 8 divisors (see below), whose sum is σ = 4169659032. Its totient is φ = 3964787200.

The previous prime is 4067144101. The next prime is 4067144131. The reversal of 4067144117 is 7114417604.

It can be written as a sum of positive squares in 4 ways, for example, as 13147876 + 4053996241 = 3626^2 + 63671^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4067144117 - 24 = 4067144101 is a prime.

It is a super-2 number, since 2×40671441172 = 33083322536895419378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067144177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13517 + ... + 91197.

It is an arithmetic number, because the mean of its divisors is an integer number (521207379).

Almost surely, 24067144117 is an apocalyptic number.

It is an amenable number.

4067144117 is a deficient number, since it is larger than the sum of its proper divisors (102514915).

4067144117 is a wasteful number, since it uses less digits than its factorization.

4067144117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78999.

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 4067144117 is about 63774.1649651330. The cubic root of 4067144117 is about 1596.2338656683.

The spelling of 4067144117 in words is "four billion, sixty-seven million, one hundred forty-four thousand, one hundred seventeen".

Divisors: 1 41 1277 52357 77681 3184921 99198637 4067144117