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424200220440 = 233541486117737
BaseRepresentation
bin1100010110001000100…
…11011010111100011000
31111112221020112221111120
412023010103122330120
523422230224023230
6522512550525240
742435035244363
oct6130423327430
91445836487446
10424200220440
111539a1a69187
126a267966820
133100426b0c9
141676223b0da
15b07b289310
hex62c44daf18

424200220440 has 128 divisors (see below), whose sum is σ = 1303981398720. Its totient is φ = 110332108800.

The previous prime is 424200220333. The next prime is 424200220459. The reversal of 424200220440 is 44022002424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 424200220440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23907252 + ... + 23924988.

Almost surely, 2424200220440 is an apocalyptic number.

424200220440 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 424200220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651990699360).

424200220440 is an abundant number, since it is smaller than the sum of its proper divisors (879781178280).

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

424200220440 is a wasteful number, since it uses less digits than its factorization.

424200220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22653 (or 22649 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 424200220440 its reverse (44022002424), we get a palindrome (468222222864).

The spelling of 424200220440 in words is "four hundred twenty-four billion, two hundred million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4861 4920 9722 14583 17737 19444 24305 29166 35474 38888 48610 53211 58332 70948 72915 88685 97220 106422 116664 141896 145830 177370 194440 199301 212844 266055 291660 354740 398602 425688 532110 583320 597903 709480 727217 797204 996505 1064220 1195806 1454434 1594408 1993010 2128440 2181651 2391612 2908868 2989515 3636085 3986020 4363302 4783224 5817736 5979030 7272170 7972040 8726604 10908255 11958060 14544340 17453208 21816510 23916120 29088680 43633020 86219557 87266040 172439114 258658671 344878228 431097785 517317342 689756456 862195570 1034634684 1293293355 1724391140 2069269368 2586586710 3448782280 3535001837 5173173420 7070003674 10346346840 10605005511 14140007348 17675009185 21210011022 28280014696 35350018370 42420022044 53025027555 70700036740 84840044088 106050055110 141400073480 212100110220 424200220440