Search a number
-
+
4202242319 = 112811359509
BaseRepresentation
bin1111101001111001…
…0010000100001111
3101211212021000202102
43322132102010033
532101233223234
61532552345315
7206064320222
oct37236220417
911755230672
104202242319
111867068940
129933a523b
1351c7b2522
142bc15b5b9
15198dc3c7e
hexfa79210f

4202242319 has 8 divisors (see below), whose sum is σ = 4600581840. Its totient is φ = 3806622400.

The previous prime is 4202242313. The next prime is 4202242333. The reversal of 4202242319 is 9132422024.

It is a happy number.

4202242319 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 4202242319 - 212 = 4202238223 is a prime.

It is a super-2 number, since 2×42022423192 = 35317681015188995522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4202242291 and 4202242300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202242313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 676664 + ... + 682845.

It is an arithmetic number, because the mean of its divisors is an integer number (575072730).

Almost surely, 24202242319 is an apocalyptic number.

4202242319 is a deficient number, since it is larger than the sum of its proper divisors (398339521).

4202242319 is a wasteful number, since it uses less digits than its factorization.

4202242319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359801.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 4202242319 is about 64824.7045423271. The cubic root of 4202242319 is about 1613.7157236487.

The spelling of 4202242319 in words is "four billion, two hundred two million, two hundred forty-two thousand, three hundred nineteen".

Divisors: 1 11 281 3091 1359509 14954599 382022029 4202242319