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20242423444212 = 223217107601514343
BaseRepresentation
bin1001001101001000011100…
…11101010111001011110100
32122200011020021221110010200
410212210032131113023310
510123122440400203322
6111015124013520500
74156316060215464
oct446441635271364
978604207843120
1020242423444212
1164a4844351832
12232b14a7a3130
13b3ab1078c108
144dda4a70dba4
152518429498ac
hex12690e7572f4

20242423444212 has 144 divisors (see below), whose sum is σ = 54775685607552. Its totient is φ = 6280733030400.

The previous prime is 20242423444193. The next prime is 20242423444219. The reversal of 20242423444212 is 21244432424202.

20242423444212 is a `hidden beast` number, since 2 + 0 + 24 + 242 + 344 + 42 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242423444219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39098713 + ... + 39613055.

It is an arithmetic number, because the mean of its divisors is an integer number (380386705608).

Almost surely, 220242423444212 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 20242423444212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27387842803776).

20242423444212 is an abundant number, since it is smaller than the sum of its proper divisors (34533262163340).

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

20242423444212 is a wasteful number, since it uses less digits than its factorization.

20242423444212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515078 (or 515073 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 20242423444212 its reverse (21244432424202), we get a palindrome (41486855868414).

The spelling of 20242423444212 in words is "twenty trillion, two hundred forty-two billion, four hundred twenty-three million, four hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 107 153 204 214 306 321 428 601 612 642 963 1202 1284 1803 1819 1926 2404 3606 3638 3852 5409 5457 7212 7276 10217 10818 10914 16371 20434 21636 21828 30651 32742 40868 61302 64307 65484 91953 122604 128614 183906 192921 257228 367812 385842 514343 578763 771684 1028686 1093219 1157526 1543029 2057372 2186438 2315052 3086058 3279657 4372876 4629087 6172116 6559314 8743831 9258174 9838971 13118628 17487662 18516348 19677942 26231493 34975324 39355884 52462986 55034701 78694479 104925972 110069402 157388958 165104103 220138804 309120143 314777916 330208206 495312309 618240286 660416412 927360429 935589917 990624618 1236480572 1854720858 1871179834 1981249236 2782081287 2806769751 3709441716 3742359668 5255042431 5564162574 5613539502 8420309253 10510084862 11128325148 11227079004 15765127293 16840618506 21020169724 31530254586 33075855301 33681237012 47295381879 63060509172 66151710602 94590763758 99227565903 132303421204 189181527516 198455131806 297682697709 396910263612 562289540117 595365395418 1124579080234 1190730790836 1686868620351 2249158160468 3373737240702 5060605861053 6747474481404 10121211722106 20242423444212