Search a number
-
+
2023434442044 = 2236739505583
BaseRepresentation
bin11101011100011110000…
…101110101010100111100
321011102211121212212000000
4131130132011311110330
5231122443204121134
64145315234234300
7266121406655361
oct35343605652474
97142747785000
102023434442044
11710151a9aa64
122881a4125990
13118a69633922
146dd12d4a468
153797a505e99
hex1d71e17553c

2023434442044 has 84 divisors (see below), whose sum is σ = 5381814515616. Its totient is φ = 665238650688.

The previous prime is 2023434442019. The next prime is 2023434442189. The reversal of 2023434442044 is 4402444343202.

2023434442044 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 4 + 3 + 444 + 204 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 4539924 + ... + 4965659.

It is an arithmetic number, because the mean of its divisors is an integer number (64069220424).

Almost surely, 22023434442044 is an apocalyptic number.

It is an amenable number.

2023434442044 is an abundant number, since it is smaller than the sum of its proper divisors (3358380073572).

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

2023434442044 is an equidigital number, since it uses as much as digits as its factorization.

2023434442044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505678 (or 9505661 counting only the distinct ones).

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

Adding to 2023434442044 its reverse (4402444343202), we get a palindrome (6425878785246).

The spelling of 2023434442044 in words is "two trillion, twenty-three billion, four hundred thirty-four million, four hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 657 729 876 972 1314 1458 1971 2628 2916 3942 5913 7884 11826 17739 23652 35478 53217 70956 106434 212868 9505583 19011166 28516749 38022332 57033498 85550247 114066996 171100494 256650741 342200988 513301482 693907559 769952223 1026602964 1387815118 1539904446 2081722677 2309856669 2775630236 3079808892 4163445354 4619713338 6245168031 6929570007 8326890708 9239426676 12490336062 13859140014 18735504093 24980672124 27718280028 37471008186 56206512279 74942016372 112413024558 168619536837 224826049116 337239073674 505858610511 674478147348 1011717221022 2023434442044