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4232311040 = 285291131009
BaseRepresentation
bin1111110001000011…
…1111000100000000
3101220221211200021202
43330100333010000
532131432423130
61535545040332
7206611023146
oct37420770400
911827750252
104232311040
111882035a21
129a14860a8
13525aac879
142c2147596
1519b863145
hexfc43f100

4232311040 has 144 divisors (see below), whose sum is σ = 10590577200. Its totient is φ = 1618477056.

The previous prime is 4232311021. The next prime is 4232311049. The reversal of 4232311040 is 401132324.

It can be written as a sum of positive squares in 8 ways, for example, as 916393984 + 3315917056 = 30272^2 + 57584^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4232311049) 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, 4194056 + ... + 4195064.

It is an arithmetic number, because the mean of its divisors is an integer number (73545675).

Almost surely, 24232311040 is an apocalyptic number.

4232311040 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 4232311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295288600).

4232311040 is an abundant number, since it is smaller than the sum of its proper divisors (6358266160).

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

4232311040 is a wasteful number, since it uses less digits than its factorization.

4232311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4232311040 is about 65056.2144610336. The cubic root of 4232311040 is about 1617.5555064574. Note that the first 4 decimals are identical.

Adding to 4232311040 its reverse (401132324), we get a palindrome (4633443364).

The spelling of 4232311040 in words is "four billion, two hundred thirty-two million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 113 116 128 145 160 226 232 256 290 320 452 464 565 580 640 904 928 1009 1130 1160 1280 1808 1856 2018 2260 2320 3277 3616 3712 4036 4520 4640 5045 6554 7232 7424 8072 9040 9280 10090 13108 14464 16144 16385 18080 18560 20180 26216 28928 29261 32288 32770 36160 37120 40360 52432 58522 64576 65540 72320 80720 104864 114017 117044 129152 131080 144640 146305 161440 209728 228034 234088 258304 262160 292610 322880 419456 456068 468176 524320 570085 585220 645760 838912 912136 936352 1048640 1140170 1170440 1291520 1824272 1872704 2097280 2280340 2340880 3306493 3648544 3745408 4194560 4560680 4681760 6612986 7297088 7490816 9121360 9363520 13225972 14594176 16532465 18242720 18727040 26451944 29188352 33064930 36485440 37454080 52903888 66129860 72970880 105807776 132259720 145941760 211615552 264519440 423231104 529038880 846462208 1058077760 2116155520 4232311040