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4107531340 = 22511219157569
BaseRepresentation
bin1111010011010011…
…1111010001001100
3101121021001012201101
43310310333101030
531403012000330
61515330352444
7203534304013
oct36464772114
911537035641
104107531340
11181865a100
1296772b724
13505ca1223
142ad745a7a
151909164ca
hexf4d3f44c

4107531340 has 144 divisors (see below), whose sum is σ = 10061503200. Its totient is φ = 1403550720.

The previous prime is 4107531317. The next prime is 4107531349. The reversal of 4107531340 is 431357014.

It is a junction number, because it is equal to n+sod(n) for n = 4107531299 and 4107531308.

It is not an unprimeable number, because it can be changed into a prime (4107531349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7218576 + ... + 7219144.

It is an arithmetic number, because the mean of its divisors is an integer number (69871550).

Almost surely, 24107531340 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 4107531340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030751600).

4107531340 is an abundant number, since it is smaller than the sum of its proper divisors (5953971860).

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

4107531340 is a wasteful number, since it uses less digits than its factorization.

4107531340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 4107531340 is about 64090.0252769493. The cubic root of 4107531340 is about 1601.5000697422.

Adding to 4107531340 its reverse (431357014), we get a palindrome (4538888354).

The spelling of 4107531340 in words is "four billion, one hundred seven million, five hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 157 190 209 220 242 314 380 418 484 569 605 628 785 836 1045 1138 1210 1570 1727 2090 2276 2299 2420 2845 2983 3140 3454 4180 4598 5690 5966 6259 6908 8635 9196 10811 11380 11495 11932 12518 14915 17270 18997 21622 22990 25036 29830 31295 32813 34540 37994 43244 45980 54055 59660 62590 65626 68849 75988 89333 94985 108110 118921 125180 131252 137698 164065 178666 189970 216220 237842 275396 328130 344245 357332 360943 379940 446665 475684 594605 656260 688490 721886 893330 982663 1189210 1308131 1376980 1443772 1697327 1786660 1804715 1965326 2378420 2616262 3394654 3609430 3930652 4913315 5232524 6540655 6789308 7218860 8486635 9826630 10809293 13081310 16973270 18670597 19653260 21618586 26162620 33946540 37341194 43237172 54046465 74682388 93352985 108092930 186705970 205376567 216185860 373411940 410753134 821506268 1026882835 2053765670 4107531340