Search a number
-
+
4244114424 = 2331116076191
BaseRepresentation
bin1111110011111000…
…0000101111111000
3101221210001100111010
43330332000233320
532142443130144
61541050033520
7210113243304
oct37476005770
911853040433
104244114424
111888767a90
129a54188a0
13528383214
142c393ad04
1519c8e55b9
hexfcf80bf8

4244114424 has 32 divisors (see below), whose sum is σ = 11574858240. Its totient is φ = 1286095200.

The previous prime is 4244114419. The next prime is 4244114449.

4244114424 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4244114391 and 4244114400.

It is a congruent number.

It is an unprimeable number.

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, 8037832 + ... + 8038359.

It is an arithmetic number, because the mean of its divisors is an integer number (361714320).

Almost surely, 24244114424 is an apocalyptic number.

4244114424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4244114424 is an abundant number, since it is smaller than the sum of its proper divisors (7330743816).

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

4244114424 is a wasteful number, since it uses less digits than its factorization.

4244114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16076211 (or 16076207 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 4244114424 is about 65146.8681058422. The cubic root of 4244114424 is about 1619.0578304495.

It can be divided in two parts, 42441 and 14424, that added together give a palindrome (56865).

The spelling of 4244114424 in words is "four billion, two hundred forty-four million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 16076191 32152382 48228573 64304764 96457146 128609528 176838101 192914292 353676202 385828584 530514303 707352404 1061028606 1414704808 2122057212 4244114424