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4333144420 = 225111011911021
BaseRepresentation
bin1000000100100011…
…01000100101100100
3102011222120112200101
410002101220211210
532333241110140
61553550153444
7212244056053
oct40221504544
912158515611
104333144420
111923a465a0
12a0b1b2884
135409557a7
142d16b439a
151a562e99a
hex102468964

4333144420 has 96 divisors (see below), whose sum is σ = 10087483392. Its totient is φ = 1550400000.

The previous prime is 4333144379. The next prime is 4333144421. The reversal of 4333144420 is 244413334.

It is a super-2 number, since 2×43331444202 = 37552281129154272800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4333144421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4243510 + ... + 4244530.

It is an arithmetic number, because the mean of its divisors is an integer number (105077952).

Almost surely, 24333144420 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 4333144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043741696).

4333144420 is an abundant number, since it is smaller than the sum of its proper divisors (5754338972).

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

4333144420 is a wasteful number, since it uses less digits than its factorization.

4333144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 4333144420 is about 65826.6239450270. The cubic root of 4333144420 is about 1630.3007236186.

Adding to 4333144420 its reverse (244413334), we get a palindrome (4577557754).

It can be divided in two parts, 433314 and 4420, that added together give a palindrome (437734).

The spelling of 4333144420 in words is "four billion, three hundred thirty-three million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 191 202 220 382 404 505 764 955 1010 1021 1111 1910 2020 2042 2101 2222 3820 4084 4202 4444 5105 5555 8404 10210 10505 11110 11231 19291 20420 21010 22220 22462 38582 42020 44924 56155 77164 96455 103121 112310 192910 195011 206242 212201 224620 385820 390022 412484 424402 515605 780044 848804 975055 1031210 1061005 1134331 1950110 2062420 2122010 2145121 2268662 3900220 4244020 4290242 4537324 5671655 8580484 10725605 11343310 19696111 21451210 22686620 39392222 42902420 78784444 98480555 196961110 216657221 393922220 433314442 866628884 1083286105 2166572210 4333144420