Search a number
-
+
266408715441 = 3113192296373
BaseRepresentation
bin1111100000011100110…
…0100110010010110001
3221110122110222222002210
43320013030212102301
513331101112343231
6322215251202333
725150566501201
oct3700714462261
9843573888083
10266408715441
11a2a8a858000
124376b8a63a9
131c17871867b
14cc73b76401
156de3645a46
hex3e073264b1

266408715441 has 96 divisors (see below), whose sum is σ = 426637825920. Its totient is φ = 147664218240.

The previous prime is 266408715437. The next prime is 266408715541. The reversal of 266408715441 is 144517804662.

It is not a de Polignac number, because 266408715441 - 22 = 266408715437 is a prime.

It is a super-3 number, since 3×2664087154413 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266408715401) 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, 41799531 + ... + 41805903.

It is an arithmetic number, because the mean of its divisors is an integer number (4444144020).

Almost surely, 2266408715441 is an apocalyptic number.

It is an amenable number.

266408715441 is a deficient number, since it is larger than the sum of its proper divisors (160229110479).

266408715441 is a wasteful number, since it uses less digits than its factorization.

266408715441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 266408715441 in words is "two hundred sixty-six billion, four hundred eight million, seven hundred fifteen thousand, four hundred forty-one".

Divisors: 1 3 11 19 29 33 57 87 121 209 319 361 363 551 627 957 1083 1331 1653 2299 3509 3971 3993 6061 6373 6897 10469 10527 11913 18183 19119 25289 31407 38599 43681 66671 70103 75867 115159 115797 121087 131043 184817 200013 210309 345477 363261 480491 554451 733381 771133 1266749 1331957 1441473 2032987 2200143 2300653 2313399 3511523 3800247 3995871 6098961 6901959 8482463 10534569 13934239 14651527 22362857 25307183 25447389 38626753 41802717 43954581 66718937 67088571 75921549 115880259 161166797 200156811 245991427 278379013 424894283 483500391 733908307 737974281 835137039 1274682849 2201724921 3062169143 4673837113 8072991377 9186507429 14021511339 24218974131 88802905147 266408715441