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4130413230 = 23519371511297
BaseRepresentation
bin1111011000110001…
…0001101010101110
3101122212002201202210
43312030101222232
531424341210410
61521505031250
7204232635036
oct36614215256
911585081683
104130413230
11182a568659
12973325526
1350a9532c8
142b27c08c6
15192936220
hexf6311aae

4130413230 has 128 divisors (see below), whose sum is σ = 10796037120. Its totient is φ = 1007769600.

The previous prime is 4130413213. The next prime is 4130413241. The reversal of 4130413230 is 323140314.

It is a junction number, because it is equal to n+sod(n) for n = 4130413197 and 4130413206.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3183942 + ... + 3185238.

It is an arithmetic number, because the mean of its divisors is an integer number (84344040).

Almost surely, 24130413230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130413230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398018560).

4130413230 is an abundant number, since it is smaller than the sum of its proper divisors (6665623890).

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

4130413230 is a wasteful number, since it uses less digits than its factorization.

4130413230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514.

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

The square root of 4130413230 is about 64268.2910150877. The cubic root of 4130413230 is about 1604.4683985897.

Adding to 4130413230 its reverse (323140314), we get a palindrome (4453553544).

The spelling of 4130413230 in words is "four billion, one hundred thirty million, four hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 151 185 190 222 285 302 370 453 555 570 703 755 906 1110 1297 1406 1510 2109 2265 2594 2869 3515 3891 4218 4530 5587 5738 6485 7030 7782 8607 10545 11174 12970 14345 16761 17214 19455 21090 24643 27935 28690 33522 38910 43035 47989 49286 55870 73929 83805 86070 95978 106153 123215 143967 147858 167610 195847 212306 239945 246430 287934 318459 369645 391694 479890 530765 587541 636918 719835 739290 911791 979235 1061530 1175082 1439670 1592295 1823582 1958470 2735373 2937705 3184590 3721093 4558955 5470746 5875410 7246339 7442186 9117910 11163279 13676865 14492678 18605465 21739017 22326558 27353730 36231695 37210930 43478034 55816395 72463390 108695085 111632790 137680441 217390170 275360882 413041323 688402205 826082646 1376804410 2065206615 4130413230