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20441004012 = 2232111310213889
BaseRepresentation
bin10011000010011000…
…001111011111101100
31221202120100121000200
4103002120033133230
5313330344112022
613220201353500
71322355444612
oct230230173754
957676317020
1020441004012
11873a460950
123b65798890
131c09b74a60
14dbcac16b2
157e982dbac
hex4c260f7ec

20441004012 has 144 divisors (see below), whose sum is σ = 60778667040. Its totient is φ = 5710694400.

The previous prime is 20441003977. The next prime is 20441004083. The reversal of 20441004012 is 21040014402.

20441004012 is a `hidden beast` number, since 204 + 410 + 0 + 40 + 12 = 666.

It is a super-2 number, since 2×204410040122 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5254164 + ... + 5258052.

Almost surely, 220441004012 is an apocalyptic number.

20441004012 is a gapful number since it is divisible by the number (22) 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 20441004012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30389333520).

20441004012 is an abundant number, since it is smaller than the sum of its proper divisors (40337663028).

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

20441004012 is a wasteful number, since it uses less digits than its factorization.

20441004012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20441004012 its reverse (21040014402), we get a palindrome (41481018414).

The spelling of 20441004012 in words is "twenty billion, four hundred forty-one million, four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1021 1287 1716 2042 2574 3063 3889 4084 5148 6126 7778 9189 11231 11667 12252 13273 15556 18378 22462 23334 26546 33693 35001 36756 39819 42779 44924 46668 50557 53092 67386 70002 79638 85558 101079 101114 119457 128337 134772 140004 146003 151671 159276 171116 202158 202228 238914 256674 292006 303342 385011 404316 438009 455013 477828 513348 556127 584012 606684 770022 876018 910026 1112254 1314027 1540044 1668381 1752036 1820052 2224508 2628054 3336762 3970669 5005143 5256108 6673524 7941338 10010286 11912007 15882676 20020572 23824014 35736021 43677359 47648028 51618697 71472042 87354718 103237394 131032077 142944084 154856091 174709436 206474788 262064154 309712182 393096231 464568273 524128308 567805667 619424364 786192462 929136546 1135611334 1572384924 1703417001 1858273092 2271222668 3406834002 5110251003 6813668004 10220502006 20441004012