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20441414040 = 23351771141131
BaseRepresentation
bin10011000010011001…
…110011100110011000
31221202121010102110220
4103002121303212120
5313331000222130
613220214240040
71322362103205
oct230231634630
957677112426
1020441414040
11873a710a13
123b65956020
131c09c89588
14dbcb8acac
157e98b0410
hex4c2673998

20441414040 has 128 divisors (see below), whose sum is σ = 65846545920. Its totient is φ = 5058099200.

The previous prime is 20441414027. The next prime is 20441414069. The reversal of 20441414040 is 4041414402.

It is a happy number.

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 20441414040.

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, 74275 + ... + 215405.

It is an arithmetic number, because the mean of its divisors is an integer number (514426140).

Almost surely, 220441414040 is an apocalyptic number.

20441414040 is a gapful number since it is divisible by the number (20) 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 20441414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32923272960).

20441414040 is an abundant number, since it is smaller than the sum of its proper divisors (45405131880).

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

20441414040 is a wasteful number, since it uses less digits than its factorization.

20441414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141233 (or 141229 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20441414040 its reverse (4041414402), we get a palindrome (24482828442).

The spelling of 20441414040 in words is "twenty billion, four hundred forty-one million, four hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 71 85 102 120 136 142 170 204 213 255 284 340 355 408 426 510 568 680 710 852 1020 1065 1207 1420 1704 2040 2130 2414 2840 3621 4260 4828 6035 7242 8520 9656 12070 14484 18105 24140 28968 36210 48280 72420 141131 144840 282262 423393 564524 705655 846786 1129048 1411310 1693572 2116965 2399227 2822620 3387144 4233930 4798454 5645240 7197681 8467860 9596908 10020301 11996135 14395362 16935720 19193816 20040602 23992270 28790724 30060903 35988405 40081204 47984540 50101505 57581448 60121806 71976810 80162408 95969080 100203010 120243612 143953620 150304515 170345117 200406020 240487224 287907240 300609030 340690234 400812040 511035351 601218060 681380468 851725585 1022070702 1202436120 1362760936 1703451170 2044141404 2555176755 3406902340 4088282808 5110353510 6813804680 10220707020 20441414040