Search a number
-
+
4322033142 = 237243933487
BaseRepresentation
bin1000000011001110…
…01111110111110110
3102011012200000212120
410001213033313312
532322420030032
61552512100410
7212050450500
oct40147176766
912135600776
104322033142
111918747519
12a07534706
1353b56517b
142d0020d70
151a468762c
hex1019cfdf6

4322033142 has 48 divisors (see below), whose sum is σ = 10078548480. Its totient is φ = 1232016912.

The previous prime is 4322033069. The next prime is 4322033143. The reversal of 4322033142 is 2413302234.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4322033143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 112323 + ... + 145809.

It is an arithmetic number, because the mean of its divisors is an integer number (209969760).

Almost surely, 24322033142 is an apocalyptic number.

4322033142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4322033142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039274240).

4322033142 is an abundant number, since it is smaller than the sum of its proper divisors (5756515338).

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

4322033142 is a wasteful number, since it uses less digits than its factorization.

4322033142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33945 (or 33938 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4322033142 is about 65742.1717164865. The cubic root of 4322033142 is about 1628.9060297213.

Adding to 4322033142 its reverse (2413302234), we get a palindrome (6735335376).

The spelling of 4322033142 in words is "four billion, three hundred twenty-two million, thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 439 878 1317 2634 3073 6146 9219 18438 21511 33487 43022 64533 66974 100461 129066 200922 234409 468818 703227 1406454 1640863 3281726 4922589 9845178 14700793 29401586 44102379 88204758 102905551 205811102 308716653 617433306 720338857 1440677714 2161016571 4322033142