Search a number
-
+
241221431321505 = 325192324991213469
BaseRepresentation
bin110110110110001110111101…
…101110011110001110100001
31011122002112200022002010002200
4312312032331232132032201
5223104132442404242010
62213011332402003413
7101544446640325305
oct6666167556361641
91148075608063080
10241221431321505
116a951486395568
122307a3b5346569
13a47a11121306b
14437d272a55d05
151cd4aca1e2cc0
hexdb63bdb9e3a1

241221431321505 has 48 divisors (see below), whose sum is σ = 440125569000000. Its totient is φ = 121879677483648.

The previous prime is 241221431321503. The next prime is 241221431321579. The reversal of 241221431321505 is 505123134122142.

241221431321505 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 2 + 1 + 431 + 3 + 215 + 0 + 5 = 666.

It is not a de Polignac number, because 241221431321505 - 21 = 241221431321503 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 241221431321505.

It is not an unprimeable number, because it can be changed into a prime (241221431321503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198179911 + ... + 199393379.

It is an arithmetic number, because the mean of its divisors is an integer number (9169282687500).

Almost surely, 2241221431321505 is an apocalyptic number.

It is an amenable number.

241221431321505 is a deficient number, since it is larger than the sum of its proper divisors (198904137678495).

241221431321505 is a wasteful number, since it uses less digits than its factorization.

241221431321505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445998 (or 1445995 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 241221431321505 its reverse (505123134122142), we get a palindrome (746344565443647).

The spelling of 241221431321505 in words is "two hundred forty-one trillion, two hundred twenty-one billion, four hundred thirty-one million, three hundred twenty-one thousand, five hundred five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 232499 697497 1162495 1213469 2092491 3487485 3640407 4417481 6067345 10462455 10921221 13252443 18202035 22087405 23055911 39757329 54606105 66262215 69167733 115279555 198786645 207503199 345838665 1037515995 282130329031 846390987093 1410651645155 2539172961279 4231954935465 5360476251589 12695864806395 16081428754767 26802381257945 48244286264301 80407143773835 241221431321505