Search a number
-
+
4102017379 = 432412771429
BaseRepresentation
bin1111010001111111…
…1101000101100011
3101120212200001222121
43310133331011203
531400104024004
61515012245111
7203436400225
oct36437750543
911525601877
104102017379
111815533409
12965910797
13504ac0525
142acb0c415
151901c7854
hexf47fd163

4102017379 has 16 divisors (see below), whose sum is σ = 4233005920. Its totient is φ = 3972810240.

The previous prime is 4102017341. The next prime is 4102017457. The reversal of 4102017379 is 9737102014.

It is a cyclic number.

It is not a de Polignac number, because 4102017379 - 219 = 4101493091 is a prime.

It is a super-3 number, since 3×41020173793 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4102017319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2869837 + ... + 2871265.

It is an arithmetic number, because the mean of its divisors is an integer number (264562870).

Almost surely, 24102017379 is an apocalyptic number.

4102017379 is a deficient number, since it is larger than the sum of its proper divisors (130988541).

4102017379 is a wasteful number, since it uses less digits than its factorization.

4102017379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 4102017379 is about 64046.9935203831. The cubic root of 4102017379 is about 1600.7831295207.

The spelling of 4102017379 in words is "four billion, one hundred two million, seventeen thousand, three hundred seventy-nine".

Divisors: 1 43 241 277 1429 10363 11911 61447 66757 344389 395833 2870551 14808727 17020819 95395753 4102017379