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4214433144 = 2331719951907
BaseRepresentation
bin1111101100110011…
…0010010101111000
3101212201012101102110
43323030302111320
532112343330034
61534105532320
7206303043045
oct37314622570
911781171373
104214433144
111872a34aa9
129974a40a0
1352219032c
142bda121cc
15199ed0de9
hexfb332578

4214433144 has 64 divisors (see below), whose sum is σ = 11212128000. Its totient is φ = 1315505664.

The previous prime is 4214433143. The next prime is 4214433169. The reversal of 4214433144 is 4413344124.

It is a super-2 number, since 2×42144331442 = 35522893450491449472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214433143) 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, 55239 + ... + 107145.

It is an arithmetic number, because the mean of its divisors is an integer number (175189500).

Almost surely, 24214433144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214433144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606064000).

4214433144 is an abundant number, since it is smaller than the sum of its proper divisors (6997694856).

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

4214433144 is a wasteful number, since it uses less digits than its factorization.

4214433144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52132 (or 52128 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 4214433144 is about 64918.6656055098. The cubic root of 4214433144 is about 1615.2746955480.

Adding to 4214433144 its reverse (4413344124), we get a palindrome (8627777268).

The spelling of 4214433144 in words is "four billion, two hundred fourteen million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 199 204 398 408 597 796 1194 1592 2388 3383 4776 6766 10149 13532 20298 27064 40596 51907 81192 103814 155721 207628 311442 415256 622884 882419 1245768 1764838 2647257 3529676 5294514 7059352 10329493 10589028 20658986 21178056 30988479 41317972 61976958 82635944 123953916 175601381 247907832 351202762 526804143 702405524 1053608286 1404811048 2107216572 4214433144