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13424020410 = 2351971893727
BaseRepresentation
bin11001000000010001…
…00100101110111010
31021122112122220010010
430200020210232322
5204443022123120
610100015202350
7653442201513
oct144010445672
937575586103
1013424020410
115769567249
1227278163b6
13135c1a3658
14914bc3a0a
155387ac7e0
hex320224bba

13424020410 has 128 divisors (see below), whose sum is σ = 34786713600. Its totient is φ = 3305111040.

The previous prime is 13424020409. The next prime is 13424020439. The reversal of 13424020410 is 1402042431.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3599967 + ... + 3603693.

It is an arithmetic number, because the mean of its divisors is an integer number (271771200).

Almost surely, 213424020410 is an apocalyptic number.

13424020410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13424020410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17393356800).

13424020410 is an abundant number, since it is smaller than the sum of its proper divisors (21362693190).

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

13424020410 is a wasteful number, since it uses less digits than its factorization.

13424020410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 13424020410 its reverse (1402042431), we get a palindrome (14826062841).

The spelling of 13424020410 in words is "thirteen billion, four hundred twenty-four million, twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 71 89 95 114 142 178 190 213 267 285 355 426 445 534 570 710 890 1065 1335 1349 1691 2130 2670 2698 3382 3727 4047 5073 6319 6745 7454 8094 8455 10146 11181 12638 13490 16910 18635 18957 20235 22362 25365 31595 37270 37914 40470 50730 55905 63190 70813 94785 111810 120061 141626 189570 212439 240122 264617 331703 354065 360183 424878 529234 600305 663406 708130 720366 793851 995109 1062195 1200610 1323085 1587702 1658515 1800915 1990218 2124390 2646170 3317030 3601830 3969255 4975545 5027723 6302357 7938510 9951090 10055446 12604714 15083169 18907071 23550913 25138615 30166338 31511785 37814142 47101826 50277230 63023570 70652739 75415845 94535355 117754565 141305478 150831690 189070710 235509130 353263695 447467347 706527390 894934694 1342402041 2237336735 2684804082 4474673470 6712010205 13424020410