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4130313240 = 233534799191
BaseRepresentation
bin1111011000101111…
…1001010000011000
3101122211220122121110
43312023321100120
531424330010430
61521502540320
7204232040364
oct36613712030
911584818543
104130313240
11182a4aa519
129732976a0
1350a919941
142b27962a4
151929167b0
hexf62f9418

4130313240 has 64 divisors (see below), whose sum is σ = 12426773760. Its totient is φ = 1098231680.

The previous prime is 4130313221. The next prime is 4130313259. The reversal of 4130313240 is 423130314.

4130313240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4130313221) and next prime (4130313259).

It is a congruent number.

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, 7956 + ... + 91235.

It is an arithmetic number, because the mean of its divisors is an integer number (194168340).

Almost surely, 24130313240 is an apocalyptic number.

4130313240 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 4130313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213386880).

4130313240 is an abundant number, since it is smaller than the sum of its proper divisors (8296460520).

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

4130313240 is a wasteful number, since it uses less digits than its factorization.

4130313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99552 (or 99548 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4130313240 is about 64267.5130995435. The cubic root of 4130313240 is about 1604.4554513710.

Adding to 4130313240 its reverse (423130314), we get a palindrome (4553443554).

The spelling of 4130313240 in words is "four billion, one hundred thirty million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 1041 1388 1735 2082 2776 3470 4164 5205 6940 8328 10410 13880 20820 41640 99191 198382 297573 396764 495955 595146 793528 991910 1190292 1487865 1983820 2380584 2975730 3967640 5951460 11902920 34419277 68838554 103257831 137677108 172096385 206515662 275354216 344192770 413031324 516289155 688385540 826062648 1032578310 1376771080 2065156620 4130313240