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21445205315424 = 2531122789462377
BaseRepresentation
bin1001110000001000110011…
…10110000100111101100000
32210221010211020020021000020
410320010121312010331200
510302324240030043144
6113335442531353440
74342236115353312
oct470043166047540
983833736207006
1021445205315424
116918951363940
1224a4283a52880
13bc73744c7557
14541d4c49d7b2
15272c8b98d419
hex138119d84f60

21445205315424 has 96 divisors (see below), whose sum is σ = 61681804684416. Its totient is φ = 6469919032320.

The previous prime is 21445205315423. The next prime is 21445205315441. The reversal of 21445205315424 is 42451350254412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21445205315423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44491477 + ... + 44970900.

It is an arithmetic number, because the mean of its divisors is an integer number (642518798796).

Almost surely, 221445205315424 is an apocalyptic number.

21445205315424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21445205315424 is an abundant number, since it is smaller than the sum of its proper divisors (40236599368992).

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

21445205315424 is a wasteful number, since it uses less digits than its factorization.

21445205315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89462628 (or 89462620 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 21445205315424 its reverse (42451350254412), we get a palindrome (63896555569836).

The spelling of 21445205315424 in words is "twenty-one trillion, four hundred forty-five billion, two hundred five million, three hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 227 264 352 454 528 681 908 1056 1362 1816 2497 2724 3632 4994 5448 7264 7491 9988 10896 14982 19976 21792 29964 39952 59928 79904 119856 239712 89462377 178924754 268387131 357849508 536774262 715699016 984086147 1073548524 1431398032 1968172294 2147097048 2862796064 2952258441 3936344588 4294194096 5904516882 7872689176 8588388192 11809033764 15745378352 20307959579 23618067528 31490756704 40615919158 47236135056 60923878737 81231838316 94472270112 121847757474 162463676632 223387555369 243695514948 324927353264 446775110738 487391029896 649854706528 670162666107 893550221476 974782059792 1340325332214 1787100442952 1949564119584 2680650664428 3574200885904 5361301328856 7148401771808 10722602657712 21445205315424