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21412400131024 = 2472148871834603
BaseRepresentation
bin1001101111001011101101…
…00000001110101111010000
32210211000010222111020001121
410313211312200032233100
510301310043413143044
6113312415410412024
74336665144034300
oct467456640165720
983730128436047
1021412400131024
116905a477212a1
122499a49591014
13bc4246c0b536
14540519681600
15271ebb953984
hex13797680ebd0

21412400131024 has 60 divisors (see below), whose sum is σ = 48263103549984. Its totient is φ = 9176121484992.

The previous prime is 21412400130937. The next prime is 21412400131081. The reversal of 21412400131024 is 42013100421412.

It is a super-2 number, since 2×214124001310242 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21412400131024.

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 11 ways as a sum of consecutive naturals, for example, 10754107 + ... + 12588709.

Almost surely, 221412400131024 is an apocalyptic number.

It is an amenable number.

21412400131024 is an abundant number, since it is smaller than the sum of its proper divisors (26850703418960).

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

21412400131024 is a wasteful number, since it uses less digits than its factorization.

21412400131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849512 (or 1849499 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 21412400131024 its reverse (42013100421412), we get a palindrome (63425500552436).

The spelling of 21412400131024 in words is "twenty-one trillion, four hundred twelve billion, four hundred million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 14887 29774 59548 104209 119096 208418 238192 416836 729463 833672 1458926 1667344 1834603 2917852 3669206 5835704 7338412 11671408 12842221 14676824 25684442 29353648 51368884 89895547 102737768 179791094 205475536 359582188 719164376 1438328752 27311734861 54623469722 109246939444 191182144027 218493878888 382364288054 436987757776 764728576108 1338275008189 1529457152216 2676550016378 3058914304432 5353100032756 10706200065512 21412400131024