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412242010420 = 225532691445753
BaseRepresentation
bin1011111111110111000…
…10011110000100110100
31110102001212001221020011
411333323202132010310
523223232423313140
6513214212550004
741532512162332
oct5777342360464
91412055057204
10412242010420
1114991595aa89
1267a8b022304
132cb49978aa6
1415d49dbab52
15aacb520cea
hex5ffb89e134

412242010420 has 48 divisors (see below), whose sum is σ = 885321919440. Its totient is φ = 161183998976.

The previous prime is 412242010393. The next prime is 412242010441. The reversal of 412242010420 is 24010242214.

It can be written as a sum of positive squares in 8 ways, for example, as 20651414436 + 391590595984 = 143706^2 + 625772^2 .

It is a junction number, because it is equal to n+sod(n) for n = 412242010391 and 412242010400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437737 + ... + 1008016.

It is an arithmetic number, because the mean of its divisors is an integer number (18444206655).

Almost surely, 2412242010420 is an apocalyptic number.

It is an amenable number.

412242010420 is an abundant number, since it is smaller than the sum of its proper divisors (473079909020).

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

412242010420 is a wasteful number, since it uses less digits than its factorization.

412242010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446084 (or 1446082 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 412242010420 its reverse (24010242214), we get a palindrome (436252252634).

The spelling of 412242010420 in words is "four hundred twelve billion, two hundred forty-two million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 269 530 538 1060 1076 1345 2690 5380 14257 28514 57028 71285 142570 285140 1445753 2891506 5783012 7228765 14457530 28915060 76624909 153249818 306499636 383124545 388907557 766249090 777815114 1532498180 1555630228 1944537785 3889075570 7778151140 20612100521 41224201042 82448402084 103060502605 206121005210 412242010420