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20044331412 = 223734122897
BaseRepresentation
bin10010101010101111…
…000011100110010100
31220201220221112111220
4102222233003212110
5312022322101122
613112551330340
71306501002000
oct225257034624
956656845456
1020044331412
118556558956
123a749809b0
131b75929b41
14d82145700
157c4ac625c
hex4aabc3994

20044331412 has 144 divisors (see below), whose sum is σ = 55924444800. Its totient is φ = 5585341440.

The previous prime is 20044331407. The next prime is 20044331413. The reversal of 20044331412 is 21413344002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20044331413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6917548 + ... + 6920444.

It is an arithmetic number, because the mean of its divisors is an integer number (388364200).

Almost surely, 220044331412 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 20044331412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27962222400).

20044331412 is an abundant number, since it is smaller than the sum of its proper divisors (35880113388).

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

20044331412 is a wasteful number, since it uses less digits than its factorization.

20044331412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20044331412 its reverse (21413344002), we get a palindrome (41457675414).

The spelling of 20044331412 in words is "twenty billion, forty-four million, three hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 343 492 574 588 686 861 1029 1148 1372 1681 1722 2009 2058 2897 3362 3444 4018 4116 5043 5794 6027 6724 8036 8691 10086 11588 11767 12054 14063 17382 20172 20279 23534 24108 28126 34764 35301 40558 42189 47068 56252 60837 70602 81116 82369 84378 118777 121674 141204 141953 164738 168756 237554 243348 247107 283906 329476 356331 425859 475108 494214 567812 576583 712662 831439 851718 988428 993671 1153166 1425324 1662878 1703436 1729749 1987342 2306332 2494317 2981013 3325756 3459498 3974684 4869857 4988634 5820073 5962026 6918996 9739714 9977268 11640146 11924052 14609571 17460219 19479428 23280292 29219142 34088999 34920438 40740511 58438284 68177998 69840876 81481022 102266997 122221533 136355996 162962044 204533994 238622993 244443066 409067988 477245986 488886132 715868979 954491972 1431737958 1670360951 2863475916 3340721902 5011082853 6681443804 10022165706 20044331412