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4144212234 = 23435372469
BaseRepresentation
bin1111011100000011…
…1010100100001010
3101200211001210110000
43313000322210022
531441404242414
61523120503430
7204461136261
oct36700724412
911624053400
104144212234
111837332a98
12977a7ab76
135107750b6
142b45735d8
15193c5eb09
hexf703a90a

4144212234 has 40 divisors (see below), whose sum is σ = 9312539940. Its totient is φ = 1377471744.

The previous prime is 4144212229. The next prime is 4144212239. The reversal of 4144212234 is 4322124414.

4144212234 is a `hidden beast` number, since 4 + 1 + 4 + 421 + 2 + 234 = 666.

It is an interprime number because it is at equal distance from previous prime (4144212229) and next prime (4144212239).

It can be written as a sum of positive squares in 2 ways, for example, as 3781881009 + 362331225 = 61497^2 + 19035^2 .

It is a super-4 number, since 4×41442122344 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4144212198 and 4144212207.

It is not an unprimeable number, because it can be changed into a prime (4144212239) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20952 + ... + 93420.

Almost surely, 24144212234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144212234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656269970).

4144212234 is an abundant number, since it is smaller than the sum of its proper divisors (5168327706).

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

4144212234 is a wasteful number, since it uses less digits than its factorization.

4144212234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72836 (or 72827 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4144212234 is about 64375.5561840051. The cubic root of 4144212234 is about 1606.2531640104.

Adding to 4144212234 its reverse (4322124414), we get a palindrome (8466336648).

The spelling of 4144212234 in words is "four billion, one hundred forty-four million, two hundred twelve thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 353 706 1059 2118 3177 6354 9531 19062 28593 57186 72469 144938 217407 434814 652221 1304442 1956663 3913326 5869989 11739978 25581557 51163114 76744671 153489342 230234013 460468026 690702039 1381404078 2072106117 4144212234