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4134103224 = 233614995659
BaseRepresentation
bin1111011001101001…
…0110100010111000
3101200010001012111020
43312122112202320
531431312300344
61522120102440
7204306204036
oct36632264270
911603035436
104134103224
111831658a39
12974604a20
1350b645a34
142b30a1556
15192e14719
hexf66968b8

4134103224 has 64 divisors (see below), whose sum is σ = 10527600000. Its totient is φ = 1352488320.

The previous prime is 4134103199. The next prime is 4134103229. The reversal of 4134103224 is 4223014314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4134103194 and 4134103203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134103229) 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 15 ways as a sum of consecutive naturals, for example, 727707 + ... + 733365.

It is an arithmetic number, because the mean of its divisors is an integer number (164493750).

Almost surely, 24134103224 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 4134103224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263800000).

4134103224 is an abundant number, since it is smaller than the sum of its proper divisors (6393496776).

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

4134103224 is a wasteful number, since it uses less digits than its factorization.

4134103224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4134103224 is about 64296.9923402331. The cubic root of 4134103224 is about 1604.9460518935.

Adding to 4134103224 its reverse (4223014314), we get a palindrome (8357117538).

The spelling of 4134103224 in words is "four billion, one hundred thirty-four million, one hundred three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 499 732 998 1464 1497 1996 2994 3992 5659 5988 11318 11976 16977 22636 30439 33954 45272 60878 67908 91317 121756 135816 182634 243512 345199 365268 690398 730536 1035597 1380796 2071194 2761592 2823841 4142388 5647682 8284776 8471523 11295364 16943046 22590728 33886092 67772184 172254301 344508602 516762903 689017204 1033525806 1378034408 2067051612 4134103224