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4131042330 = 2351731416373
BaseRepresentation
bin1111011000111010…
…1011010000011010
3101122220021200201210
43312032223100122
531430021323310
61521530323550
7204241165122
oct36616532032
911586250653
104131042330
11182a958278
129735895b6
1350ab1375c
142b2905c82
15192a0c820
hexf63ab41a

4131042330 has 128 divisors (see below), whose sum is σ = 11102386176. Its totient is φ = 978739200.

The previous prime is 4131042329. The next prime is 4131042337. The reversal of 4131042330 is 332401314.

It is a junction number, because it is equal to n+sod(n) for n = 4131042297 and 4131042306.

It is not an unprimeable number, because it can be changed into a prime (4131042337) by changing a digit.

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, 645024 + ... + 651396.

It is an arithmetic number, because the mean of its divisors is an integer number (86737392).

Almost surely, 24131042330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131042330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551193088).

4131042330 is an abundant number, since it is smaller than the sum of its proper divisors (6971343846).

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

4131042330 is a wasteful number, since it uses less digits than its factorization.

4131042330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472.

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

The square root of 4131042330 is about 64273.1851552418. The cubic root of 4131042330 is about 1604.5498528956.

Adding to 4131042330 its reverse (332401314), we get a palindrome (4463443644).

The spelling of 4131042330 in words is "four billion, one hundred thirty-one million, forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 41 51 62 82 85 93 102 123 155 170 186 205 246 255 310 410 465 510 527 615 697 930 1054 1230 1271 1394 1581 2091 2542 2635 3162 3485 3813 4182 5270 6355 6373 6970 7626 7905 10455 12710 12746 15810 19065 19119 20910 21607 31865 38130 38238 43214 63730 64821 95595 108035 108341 129642 191190 197563 216070 216682 261293 324105 325023 395126 522586 541705 592689 648210 650046 783879 987815 1083410 1185378 1306465 1567758 1625115 1975630 2612930 2963445 3250230 3358571 3919395 4441981 5926890 6717142 7838790 8100083 8883962 10075713 13325943 16200166 16792855 20151426 22209905 24300249 26651886 33585710 40500415 44419810 48600498 50378565 66629715 81000830 100757130 121501245 133259430 137701411 243002490 275402822 413104233 688507055 826208466 1377014110 2065521165 4131042330