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4214442414 = 2371344917191
BaseRepresentation
bin1111101100110011…
…0100100110101110
3101212201012212010210
43323030310212232
532112344124124
61534110043250
7206303112060
oct37314644656
911781185123
104214442414
111872a40a66
129974a9526
13522194610
142bda15730
15199ed3a29
hexfb3349ae

4214442414 has 64 divisors (see below), whose sum is σ = 10397721600. Its totient is φ = 1108961280.

The previous prime is 4214442347. The next prime is 4214442431. The reversal of 4214442414 is 4142444124.

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 31 ways as a sum of consecutive naturals, for example, 236559 + ... + 253749.

It is an arithmetic number, because the mean of its divisors is an integer number (162464400).

Almost surely, 24214442414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214442414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198860800).

4214442414 is an abundant number, since it is smaller than the sum of its proper divisors (6183279186).

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

4214442414 is a wasteful number, since it uses less digits than its factorization.

4214442414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17665.

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

The square root of 4214442414 is about 64918.7370025018. The cubic root of 4214442414 is about 1615.2758798580.

Adding to 4214442414 its reverse (4142444124), we get a palindrome (8356886538).

The spelling of 4214442414 in words is "four billion, two hundred fourteen million, four hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 449 546 898 1347 2694 3143 5837 6286 9429 11674 17191 17511 18858 34382 35022 40859 51573 81718 103146 120337 122577 223483 240674 245154 361011 446966 670449 722022 1340898 1564381 3128762 4693143 7718759 9386286 15437518 23156277 46312554 54031313 100343867 108062626 162093939 200687734 301031601 324187878 602063202 702407069 1404814138 2107221207 4214442414