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4431424512 = 21034333547
BaseRepresentation
bin1000010000010001…
…00010110000000000
3102102211111200121210
410020020202300000
533033421041022
62011420450120
7214546325664
oct41010426000
912384450553
104431424512
111974472909
12a380a9940
135581164a8
143007788a4
151ae094a0c
hex108222c00

4431424512 has 88 divisors (see below), whose sum is σ = 12086405056. Its totient is φ = 1442746368.

The previous prime is 4431424471. The next prime is 4431424519. The reversal of 4431424512 is 2154241344.

It is a self number, because there is not a number n which added to its sum of digits gives 4431424512.

It is not an unprimeable number, because it can be changed into a prime (4431424519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115323 + ... + 148869.

It is an arithmetic number, because the mean of its divisors is an integer number (137345512).

Almost surely, 24431424512 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 4431424512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043202528).

4431424512 is an abundant number, since it is smaller than the sum of its proper divisors (7654980544).

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

4431424512 is a wasteful number, since it uses less digits than its factorization.

4431424512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33613 (or 33595 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 4431424512 is about 66568.9455527125. The cubic root of 4431424512 is about 1642.5343168420.

Adding to 4431424512 its reverse (2154241344), we get a palindrome (6585665856).

The spelling of 4431424512 in words is "four billion, four hundred thirty-one million, four hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2064 2752 3072 4128 5504 8256 11008 16512 22016 33024 33547 44032 66048 67094 100641 132096 134188 201282 268376 402564 536752 805128 1073504 1442521 1610256 2147008 2885042 3220512 4294016 4327563 5770084 6441024 8588032 8655126 11540168 12882048 17176064 17310252 23080336 25764096 34352128 34620504 46160672 51528192 69241008 92321344 103056384 138482016 184642688 276964032 369285376 553928064 738570752 1107856128 1477141504 2215712256 4431424512