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212424104440 = 23554130013271
BaseRepresentation
bin1100010111010101110…
…1101001100111111000
3202022022012102120202201
43011311131221213320
511440021032320230
6241330345435544
721230032044562
oct3056535514770
9668265376681
10212424104440
11820a7961809
123520449bbb4
13170542b4972
14a3d217a332
1557d406a5ca
hex31757699f8

212424104440 has 64 divisors (see below), whose sum is σ = 479143696320. Its totient is φ = 84758400000.

The previous prime is 212424104369. The next prime is 212424104443. The reversal of 212424104440 is 44401424212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212424104399 and 212424104408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212424104443) 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, 64940005 + ... + 64943275.

It is an arithmetic number, because the mean of its divisors is an integer number (7486620255).

Almost surely, 2212424104440 is an apocalyptic number.

212424104440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212424104440 is an abundant number, since it is smaller than the sum of its proper divisors (266719591880).

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

212424104440 is a wasteful number, since it uses less digits than its factorization.

212424104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6824 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 212424104440 its reverse (44401424212), we get a palindrome (256825528652).

The spelling of 212424104440 in words is "two hundred twelve billion, four hundred twenty-four million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 541 1082 2164 2705 3001 3271 4328 5410 6002 6542 10820 12004 13084 15005 16355 21640 24008 26168 30010 32710 60020 65420 120040 130840 1623541 1769611 3247082 3539222 6494164 7078444 8117705 8848055 9816271 12988328 14156888 16235410 17696110 19632542 32470820 35392220 39265084 49081355 64941640 70784440 78530168 98162710 196325420 392650840 5310602611 10621205222 21242410444 26553013055 42484820888 53106026110 106212052220 212424104440