Search a number
-
+
4121331354 = 234713732647
BaseRepresentation
bin1111010110100110…
…1000011010011010
3101122020000022210000
43311221220122122
531420030100404
61520542233430
7204062511210
oct36551503232
911566008700
104121331354
111825425278
12970285876
13508ac360a
142b14d8cb0
15191c40339
hexf5a6869a

4121331354 has 80 divisors (see below), whose sum is σ = 10565774208. Its totient is φ = 1176221088.

The previous prime is 4121331353. The next prime is 4121331359. The reversal of 4121331354 is 4531331214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4121331353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1555659 + ... + 1558305.

Almost surely, 24121331354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121331354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282887104).

4121331354 is an abundant number, since it is smaller than the sum of its proper divisors (6444442854).

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

4121331354 is a wasteful number, since it uses less digits than its factorization.

4121331354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4032 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 4121331354 is about 64197.5961699502. The cubic root of 4121331354 is about 1603.2915771916.

Adding to 4121331354 its reverse (4531331214), we get a palindrome (8652662568).

The spelling of 4121331354 in words is "four billion, one hundred twenty-one million, three hundred thirty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1373 2647 2746 4119 5294 7941 8238 9611 12357 15882 18529 19222 23823 24714 28833 37058 37071 47646 55587 57666 71469 74142 86499 111174 111213 142938 166761 172998 214407 222426 259497 333522 428814 500283 518994 778491 1000566 1500849 1556982 3001698 3634331 7268662 10902993 21805986 25440317 32708979 50880634 65417958 76320951 98126937 152641902 196253874 228962853 294380811 457925706 588761622 686888559 1373777118 2060665677 4121331354