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421643734281 = 34721129372
BaseRepresentation
bin1100010001010111110…
…11001100110100001001
31111022100002001222210000
412020223323030310021
523402011243444111
6521411144313213
742314503415100
oct6105373146411
91438302058700
10421643734281
111528aa994300
1269873772809
13309b77221c3
141659c8c5037
15ae7bb01c56
hex622beccd09

421643734281 has 135 divisors (see below), whose sum is σ = 806222270007. Its totient is φ = 218801943360.

The previous prime is 421643734271. The next prime is 421643734283. The reversal of 421643734281 is 182437346124.

The square root of 421643734281 is 649341.

It is a perfect power (a square), and thus also a powerful number.

421643734281 is a `hidden beast` number, since 4 + 2 + 164 + 373 + 42 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22199510025 + 399444224256 = 148995^2 + 632016^2 .

It is not a de Polignac number, because 421643734281 - 29 = 421643733769 is a prime.

It is a super-2 number, since 2×4216437342812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (421643734283) 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 134 ways as a sum of consecutive naturals, for example, 449992845 + ... + 449993781.

Almost surely, 2421643734281 is an apocalyptic number.

421643734281 is the 649341-st square number.

421643734281 is the 324671-st centered octagonal number.

It is an amenable number.

421643734281 is a deficient number, since it is larger than the sum of its proper divisors (384578535726).

421643734281 is an frugal number, since it uses more digits than its factorization.

421643734281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 958 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 421643734281 in words is "four hundred twenty-one billion, six hundred forty-three million, seven hundred thirty-four thousand, two hundred eighty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 121 147 189 231 297 363 441 539 567 693 847 891 937 1089 1323 1617 2079 2541 2811 3267 3969 4851 5929 6237 6559 7623 8433 9801 10307 14553 17787 19677 22869 25299 30921 43659 45913 53361 59031 68607 72149 75897 92763 113377 137739 160083 177093 216447 278289 340131 413217 480249 505043 531279 649341 793639 834867 877969 1020393 1239651 1515129 1948023 2380917 2633907 3061179 3718953 4545387 5555473 5844069 6145783 7142751 7901721 9183537 9657659 13636161 16666419 18437349 21428253 23705163 28972977 40908483 43020481 49999257 55312047 64284759 67603613 71115489 86918931 106234249 129061443 149997771 165936141 202810839 260756793 318702747 387184329 449993313 473225291 497808423 608432517 743639743 782270379 956108241 1161552987 1419675873 1825297551 2230919229 2868324723 3484658961 4259027619 5205478201 5475892653 6692757687 8604974169 12777082857 15616434603 20078273061 38331248571 46849303809 60234819183 140547911427 421643734281