Search a number
-
+
20402034444 = 22321197547971
BaseRepresentation
bin10011000000000011…
…100101011100001100
31221122212000201211100
4103000003211130030
5313240410100234
613212250223100
71321403300661
oct230003453414
957585021740
1020402034444
11871a4644a0
123b54724a90
131c01a7c23c
14db7859a68
157e61d2399
hex4c00e570c

20402034444 has 144 divisors (see below), whose sum is σ = 57002714496. Its totient is φ = 6101222400.

The previous prime is 20402034437. The next prime is 20402034449. The reversal of 20402034444 is 44443020402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20402034449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21010879 + ... + 21011849.

It is an arithmetic number, because the mean of its divisors is an integer number (395852184).

Almost surely, 220402034444 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 20402034444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28501357248).

20402034444 is an abundant number, since it is smaller than the sum of its proper divisors (36600680052).

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

20402034444 is a wasteful number, since it uses less digits than its factorization.

20402034444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 20402034444 its reverse (44443020402), we get a palindrome (64845054846).

The spelling of 20402034444 in words is "twenty billion, four hundred two million, thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 547 582 873 971 1067 1094 1164 1641 1746 1942 2134 2188 2913 3201 3282 3492 3884 4268 4923 5826 6017 6402 6564 8739 9603 9846 10681 11652 12034 12804 17478 18051 19206 19692 21362 24068 32043 34956 36102 38412 42724 53059 54153 64086 72204 94187 96129 106118 108306 128172 159177 188374 192258 212236 216612 282561 318354 376748 384516 477531 531137 565122 583649 636708 847683 955062 1036057 1062274 1130244 1167298 1593411 1695366 1750947 1910124 2072114 2124548 2334596 3108171 3186822 3390732 3501894 4144228 4780233 5252841 5842507 6216342 6373644 7003788 9324513 9560466 10505682 11685014 12432684 17527521 18649026 19120932 21011364 23370028 35055042 37298052 51520289 52582563 70110084 103040578 105165126 154560867 206081156 210330252 309121734 463682601 566723179 618243468 927365202 1133446358 1700169537 1854730404 2266892716 3400339074 5100508611 6800678148 10201017222 20402034444