Search a number
-
+
20234430042444 = 223217113310994111
BaseRepresentation
bin1001001100111001100100…
…00000111101000101001100
32122122101121012221120022100
410212130302000331011030
510123010103042324234
6111011322511315100
74155614016346242
oct446346200750514
978571535846270
1020234430042444
1164a1412280772
12232969981ba90
13b3a138719397
144dd4ccc82792
15251525d04399
hex12673203d14c

20234430042444 has 144 divisors (see below), whose sum is σ = 54654275370240. Its totient is φ = 6289788395520.

The previous prime is 20234430042361. The next prime is 20234430042457. The reversal of 20234430042444 is 44424003443202.

20234430042444 is a `hidden beast` number, since 2 + 0 + 2 + 344 + 300 + 4 + 2 + 4 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20234430042399 and 20234430042408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214958949 + ... + 215053059.

It is an arithmetic number, because the mean of its divisors is an integer number (379543578960).

Almost surely, 220234430042444 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 20234430042444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27327137685120).

20234430042444 is an abundant number, since it is smaller than the sum of its proper divisors (34419845327796).

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

20234430042444 is a wasteful number, since it uses less digits than its factorization.

20234430042444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97360 (or 97355 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 20234430042444 its reverse (44424003443202), we get a palindrome (64658433485646).

The spelling of 20234430042444 in words is "twenty trillion, two hundred thirty-four billion, four hundred thirty million, forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 113 153 204 226 306 339 452 612 678 1017 1356 1921 2034 3109 3842 4068 5763 6218 7684 9327 11526 12436 17289 18654 23052 27981 34578 37308 52853 55962 69156 94111 105706 111924 158559 188222 211412 282333 317118 351317 376444 475677 564666 634236 702634 846999 951354 1053951 1129332 1405268 1599887 1693998 1902708 2107902 3161853 3199774 3387996 4215804 4799661 5972389 6323706 6399548 9599322 10634543 11944778 12647412 14398983 17917167 19198644 21269086 23889556 28797966 31903629 35834334 42538172 53751501 57595932 63807258 71668668 95710887 107503002 127614516 180787231 191421774 215006004 292591099 361574462 382843548 542361693 585182198 723148924 877773297 1084723386 1170364396 1627085079 1755546594 2169446772 2633319891 3254170158 3511093188 4974048683 5266639782 6508340316 9948097366 10533279564 14922146049 19896194732 29844292098 33062794187 44766438147 59688584196 66125588374 89532876294 99188382561 132251176748 179065752588 198376765122 297565147683 396753530244 562067501179 595130295366 1124135002358 1190260590732 1686202503537 2248270004716 3372405007074 5058607510611 6744810014148 10117215021222 20234430042444