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21042341440 = 265411603837
BaseRepresentation
bin10011100110001110…
…001010011001000000
32000022110212200220021
4103212032022121000
5321043314411230
613400002223224
71343306644141
oct234616123100
960273780807
1021042341440
118a1894262a
1240b3054b14
131ca461b313
1410388d5ac8
15832512c7a
hex4e638a640

21042341440 has 56 divisors (see below), whose sum is σ = 51329231352. Its totient is φ = 8211640320.

The previous prime is 21042341429. The next prime is 21042341473. The reversal of 21042341440 is 4414324012.

It can be written as a sum of positive squares in 4 ways, for example, as 1098304 + 21041243136 = 1048^2 + 145056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 788799 + ... + 815038.

It is an arithmetic number, because the mean of its divisors is an integer number (916593417).

Almost surely, 221042341440 is an apocalyptic number.

21042341440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21042341440 is an abundant number, since it is smaller than the sum of its proper divisors (30286889912).

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

21042341440 is a wasteful number, since it uses less digits than its factorization.

21042341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603895 (or 1603885 counting only the distinct ones).

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

Adding to 21042341440 its reverse (4414324012), we get a palindrome (25456665452).

The spelling of 21042341440 in words is "twenty-one billion, forty-two million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 1603837 3207674 6415348 8019185 12830696 16038370 25661392 32076740 51322784 64153480 65757317 102645568 128306960 131514634 256613920 263029268 328786585 513227840 526058536 657573170 1052117072 1315146340 2104234144 2630292680 4208468288 5260585360 10521170720 21042341440