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20001440312 = 23731127257353
BaseRepresentation
bin10010101000001011…
…011100001000111000
31220121221020102222122
4102220023130020320
5311430332042222
613104420140412
71305440303030
oct225013341070
956557212878
1020001440312
118534323167
123a62537708
131b69a903a9
14d7a57c8c0
157c0e52a42
hex4a82dc238

20001440312 has 128 divisors (see below), whose sum is σ = 44891504640. Its totient is φ = 8174960640.

The previous prime is 20001440269. The next prime is 20001440383. The reversal of 20001440312 is 21304410002.

It is a super-2 number, since 2×200014403122 (a number of 21 digits) contains 22 as substring.

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, 56661128 + ... + 56661480.

It is an arithmetic number, because the mean of its divisors is an integer number (350714880).

Almost surely, 220001440312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001440312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22445752320).

20001440312 is an abundant number, since it is smaller than the sum of its proper divisors (24890064328).

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

20001440312 is a wasteful number, since it uses less digits than its factorization.

20001440312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20001440312 its reverse (21304410002), we get a palindrome (41305850314).

The spelling of 20001440312 in words is "twenty billion, one million, four hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 127 217 248 254 257 353 434 508 514 706 868 889 1016 1028 1412 1736 1778 1799 2056 2471 2824 3556 3598 3937 4942 7112 7196 7874 7967 9884 10943 14392 15748 15934 19768 21886 27559 31496 31868 32639 43772 44831 55118 55769 63736 65278 76601 87544 89662 90721 110236 111538 130556 153202 179324 181442 220472 223076 228473 261112 306404 313817 358648 362884 446152 456946 612808 627634 635047 725768 913892 1011809 1255268 1270094 1389761 1827784 2023618 2510536 2540188 2779522 2812351 4047236 5080376 5559044 5624702 7082663 8094472 9728327 11118088 11249404 11521567 14165326 19456654 19686457 22498808 23043134 28330652 38913308 39372914 46086268 56661304 77826616 78745828 80650969 92172536 157491656 161301938 322603876 357168577 645207752 714337154 1428674308 2500180039 2857348616 5000360078 10000720156 20001440312