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4315312040 = 2351335323509
BaseRepresentation
bin1000000010011011…
…00110111110101000
3102010202000120020212
410001031212332220
532314204441130
61552112040252
7211636355444
oct40115467650
912122016225
104315312040
111914976896
12a05233088
1353a050ba0
142cd191824
151a3caae95
hex101366fa8

4315312040 has 64 divisors (see below), whose sum is σ = 10486400400. Its totient is φ = 1588764672.

The previous prime is 4315312039. The next prime is 4315312063. The reversal of 4315312040 is 402135134.

It can be written as a sum of positive squares in 8 ways, for example, as 2218221604 + 2097090436 = 47098^2 + 45794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4315311997 and 4315312015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171806 + ... + 195314.

Almost surely, 24315312040 is an apocalyptic number.

4315312040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4315312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243200200).

4315312040 is an abundant number, since it is smaller than the sum of its proper divisors (6171088360).

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

4315312040 is a wasteful number, since it uses less digits than its factorization.

4315312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23886 (or 23882 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 4315312040 is about 65691.0347003303. The cubic root of 4315312040 is about 1628.0612325972.

Adding to 4315312040 its reverse (402135134), we get a palindrome (4717447174).

The spelling of 4315312040 in words is "four billion, three hundred fifteen million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 353 520 706 1412 1765 2824 3530 4589 7060 9178 14120 18356 22945 23509 36712 45890 47018 91780 94036 117545 183560 188072 235090 305617 470180 611234 940360 1222468 1528085 2444936 3056170 6112340 8298677 12224680 16597354 33194708 41493385 66389416 82986770 107882801 165973540 215765602 331947080 431531204 539414005 863062408 1078828010 2157656020 4315312040