Search a number
-
+
4321134420040 = 2354110692464769
BaseRepresentation
bin111110111000010111101…
…011101010000001001000
3120022002121021202111200001
4332320113223222001020
51031244140402420130
613105033551052344
7624122511353434
oct76702753520110
916262537674601
104321134420040
111416645801509
1259956b2110b4
13254634344719
1410d2032a59c4
1577608cb96ca
hex3ee17aea048

4321134420040 has 64 divisors (see below), whose sum is σ = 9969008742000. Its totient is φ = 1684718223360.

The previous prime is 4321134420037. The next prime is 4321134420047. The reversal of 4321134420040 is 400244311234.

4321134420040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1392319761156 + 2928814658884 = 1179966^2 + 1711378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4321134419990 and 4321134420008.

It is not an unprimeable number, because it can be changed into a prime (4321134420047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520776 + ... + 2985544.

Almost surely, 24321134420040 is an apocalyptic number.

4321134420040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4321134420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984504371000).

4321134420040 is an abundant number, since it is smaller than the sum of its proper divisors (5647874321960).

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

4321134420040 is a wasteful number, since it uses less digits than its factorization.

4321134420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465890 (or 2465886 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4321134420040 its reverse (400244311234), we get a palindrome (4721378731274).

The spelling of 4321134420040 in words is "four trillion, three hundred twenty-one billion, one hundred thirty-four million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1069 1640 2138 4276 5345 8552 10690 21380 42760 43829 87658 175316 219145 350632 438290 876580 1753160 2464769 4929538 9859076 12323845 19718152 24647690 49295380 98590760 101055529 202111058 404222116 505277645 808444232 1010555290 2021110580 2634838061 4042221160 5269676122 10539352244 13174190305 21078704488 26348380610 52696761220 105393522440 108028360501 216056721002 432113442004 540141802505 864226884008 1080283605010 2160567210020 4321134420040