Search a number
-
+
421331104240 = 24513752317349
BaseRepresentation
bin1100010000110010100…
…10100111000111110000
31111021112021210201222121
412020121102213013300
523400341230313430
6521320135444024
742303656203204
oct6103122470760
91437467721877
10421331104240
1115275a473772
12697a6b26614
1330967a21707
141656d184b04
15ae5e44aa7a
hex62194a71f0

421331104240 has 80 divisors (see below), whose sum is σ = 987068073600. Its totient is φ = 167247534080.

The previous prime is 421331104237. The next prime is 421331104241. The reversal of 421331104240 is 42401133124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421331104241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57328086 + ... + 57335434.

It is an arithmetic number, because the mean of its divisors is an integer number (12338350920).

Almost surely, 2421331104240 is an apocalyptic number.

421331104240 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 421331104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493534036800).

421331104240 is an abundant number, since it is smaller than the sum of its proper divisors (565736969360).

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

421331104240 is a wasteful number, since it uses less digits than its factorization.

421331104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12730 (or 12724 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 421331104240 its reverse (42401133124), we get a palindrome (463732237364).

The spelling of 421331104240 in words is "four hundred twenty-one billion, three hundred thirty-one million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5231 5480 7349 10462 10960 14698 20924 26155 29396 36745 41848 52310 58792 73490 83696 104620 117584 146980 209240 293960 418480 587920 716647 1006813 1433294 2013626 2866588 3583235 4027252 5034065 5733176 7166470 8054504 10068130 11466352 14332940 16109008 20136260 28665880 38442619 40272520 57331760 76885238 80545040 153770476 192213095 307540952 384426190 615081904 768852380 1537704760 3075409520 5266638803 10533277606 21066555212 26333194015 42133110424 52666388030 84266220848 105332776060 210665552120 421331104240