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21444321434403 = 3722961715911519
BaseRepresentation
bin1001110000000111001010…
…01010010101101100100011
32210221001112122001110012010
410320003211022111230203
510302320432241400103
6113335215115004003
74342205163450600
oct470034512255443
983831478043163
1021444321434403
116918538440a5a
1224a4077a39603
13bc726335592a
14541ca6d3b6a7
15272c39097903
hex1380e5295b23

21444321434403 has 96 divisors (see below), whose sum is σ = 34979475456000. Its totient is φ = 11634757505280.

The previous prime is 21444321434377. The next prime is 21444321434411. The reversal of 21444321434403 is 30443412344412.

It is a happy number.

It is not a de Polignac number, because 21444321434403 - 221 = 21444319337251 is a prime.

It is a super-3 number, since 3×214443214344033 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21444321434423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1861642078 + ... + 1861653596.

It is an arithmetic number, because the mean of its divisors is an integer number (364369536000).

Almost surely, 221444321434403 is an apocalyptic number.

21444321434403 is a deficient number, since it is larger than the sum of its proper divisors (13535154021597).

21444321434403 is a wasteful number, since it uses less digits than its factorization.

21444321434403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18785 (or 18778 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 21444321434403 its reverse (30443412344412), we get a palindrome (51887733778815).

The spelling of 21444321434403 in words is "twenty-one trillion, four hundred forty-four billion, three hundred twenty-one million, four hundred thirty-four thousand, four hundred three".

Divisors: 1 3 7 21 29 49 61 87 147 183 203 427 609 1281 1421 1769 2989 4263 5307 7159 8967 11519 12383 21477 34557 37149 50113 80633 86681 150339 207611 241899 260043 334051 350791 436699 564431 622833 702659 1002153 1052373 1310097 1453277 1693293 2107977 2338357 3056893 4359831 4918613 7015071 9170679 10172939 12664271 14755839 16368499 20377111 21398251 30518817 34430291 37992813 49105497 61131333 64194753 82464521 88649897 103290873 142639777 247393563 265949691 427919331 577251647 620549279 998478439 1731754941 1861647837 2391471109 2995435317 4040761529 5030335781 7174413327 12122284587 15091007343 16740297763 35212350467 50220893289 105637051401 117182084341 145879737649 246486453269 351546253023 437639212947 739459359807 1021158163543 3063474490629 7148107144801 21444321434403