Search a number
-
+
3212212224040 = 2352923831162043
BaseRepresentation
bin101110101111100110110…
…001001100000000101000
3102101002021121000012221121
4232233212301030000220
5410112102312132130
610455400411545024
7451034420253601
oct56574661140050
912332247005847
103212212224040
111029323070616
1243a66b45b174
131a3baac5ab41
14b1686c7ada8
1558854da9d7a
hex2ebe6c4c028

3212212224040 has 64 divisors (see below), whose sum is σ = 7479844819200. Its totient is φ = 1240056851712.

The previous prime is 3212212224031. The next prime is 3212212224043. The reversal of 3212212224040 is 404222122123.

It is a junction number, because it is equal to n+sod(n) for n = 3212212223996 and 3212212224014.

It is not an unprimeable number, because it can be changed into a prime (3212212224043) 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 15 ways as a sum of consecutive naturals, for example, 2183259 + ... + 3345301.

It is an arithmetic number, because the mean of its divisors is an integer number (116872575300).

Almost surely, 23212212224040 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 3212212224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739922409600).

3212212224040 is an abundant number, since it is smaller than the sum of its proper divisors (4267632595160).

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

3212212224040 is a wasteful number, since it uses less digits than its factorization.

3212212224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164466 (or 1164462 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 3212212224040 its reverse (404222122123), we get a palindrome (3616434346163).

The spelling of 3212212224040 in words is "three trillion, two hundred twelve billion, two hundred twelve million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2383 4766 9532 11915 19064 23830 47660 69107 95320 138214 276428 345535 552856 691070 1162043 1382140 2324086 2764280 4648172 5810215 9296344 11620430 23240860 33699247 46481720 67398494 134796988 168496235 269593976 336992470 673984940 1347969880 2769148469 5538296938 11076593876 13845742345 22153187752 27691484690 55382969380 80305305601 110765938760 160610611202 321221222404 401526528005 642442444808 803053056010 1606106112020 3212212224040