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4103141224 = 2372132273547
BaseRepresentation
bin1111010010010000…
…1111011101101000
3101120221210011121111
43310210033131220
531400401004344
61515052320104
7203452060600
oct36444173550
911527704544
104103141224
111816130806
12966173034
135050c4c20
142acd21c00
1519034a834
hexf490f768

4103141224 has 96 divisors (see below), whose sum is σ = 9683059680. Its totient is φ = 1615614336.

The previous prime is 4103141123. The next prime is 4103141239. The reversal of 4103141224 is 4221413014.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4103141195 and 4103141204.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1155019 + ... + 1158565.

It is an arithmetic number, because the mean of its divisors is an integer number (100865205).

Almost surely, 24103141224 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 4103141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841529840).

4103141224 is an abundant number, since it is smaller than the sum of its proper divisors (5579918456).

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

4103141224 is a wasteful number, since it uses less digits than its factorization.

4103141224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4103141224 is about 64055.7665163723. The cubic root of 4103141224 is about 1600.9293070133.

Adding to 4103141224 its reverse (4221413014), we get a palindrome (8324554238).

The spelling of 4103141224 in words is "four billion, one hundred three million, one hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 227 364 392 454 637 728 908 1274 1589 1816 2548 2951 3178 3547 5096 5902 6356 7094 11123 11804 12712 14188 20657 22246 23608 24829 28376 41314 44492 46111 49658 82628 88984 92222 99316 144599 165256 173803 184444 198632 289198 322777 347606 368888 578396 645554 695212 805169 1156792 1291108 1390424 1610338 2259439 2582216 3220676 4518878 5636183 6441352 9037756 10467197 11272366 18075512 20934394 22544732 39453281 41868788 45089464 73270379 78906562 83737576 146540758 157813124 293081516 315626248 512892653 586163032 1025785306 2051570612 4103141224