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42412103010 = 2345229373613
BaseRepresentation
bin100111011111111101…
…010101010101100010
311001110202212001210000
4213133331111111202
51143324444244020
631252302320430
73031003633044
oct473775252542
9131422761700
1042412103010
1116a94587802
128277889116
133ccba18054
1420a4a9ba94
15118364e090
hex9dff55562

42412103010 has 160 divisors (see below), whose sum is σ = 115033857840. Its totient is φ = 11211996672.

The previous prime is 42412103003. The next prime is 42412103033. The reversal of 42412103010 is 1030121424.

42412103010 is a `hidden beast` number, since 424 + 1 + 210 + 30 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14812593849 + 27599509161 = 121707^2 + 166131^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69187464 + ... + 69188076.

Almost surely, 242412103010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42412103010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57516928920).

42412103010 is an abundant number, since it is smaller than the sum of its proper divisors (72621754830).

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

42412103010 is a wasteful number, since it uses less digits than its factorization.

42412103010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42412103010 its reverse (1030121424), we get a palindrome (43442224434).

The spelling of 42412103010 in words is "forty-two billion, four hundred twelve million, one hundred three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 229 270 373 405 458 613 687 746 810 1119 1145 1226 1374 1839 1865 2061 2238 2290 3065 3357 3435 3678 3730 4122 5517 5595 6130 6183 6714 6870 9195 10071 10305 11034 11190 12366 16551 16785 18390 18549 20142 20610 27585 30213 30915 33102 33570 37098 49653 50355 55170 60426 61830 82755 85417 92745 99306 100710 140377 151065 165510 170834 185490 228649 248265 256251 280754 302130 421131 427085 457298 496530 512502 685947 701885 768753 842262 854170 1143245 1263393 1281255 1371894 1403770 1537506 2057841 2105655 2286490 2306259 2526786 2562510 3429735 3790179 3843765 4115682 4211310 4612518 6173523 6316965 6859470 6918777 7580358 7687530 10289205 11370537 11531295 12347046 12633930 13837554 18520569 18950895 20578410 22741074 23062590 30867615 34593885 37041138 37901790 52360621 56852685 61735230 69187770 92602845 104721242 113705370 157081863 185205690 261803105 314163726 471245589 523606210 785409315 942491178 1413736767 1570818630 2356227945 2827473534 4241210301 4712455890 7068683835 8482420602 14137367670 21206051505 42412103010