Search a number
-
+
424641661214337 = 32722297419201681
BaseRepresentation
bin110000010001101011001011…
…1010111111001111010000001
32001200112100100111012100101100
41200203112113113321322001
5421124312110232324322
64103045404105525013
7155305230140211600
oct14043262727717201
92050470314170340
10424641661214337
11113338576408846
123b7624951a3769
13152c36c9556618
1476c0aa2123a37
153415d86565dac
hex18235975f9e81

424641661214337 has 36 divisors (see below), whose sum is σ = 713824169739876. Its totient is φ = 242546738434560.

The previous prime is 424641661214321. The next prime is 424641661214341. The reversal of 424641661214337 is 733412166146424.

424641661214337 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 4 + 1 + 6 + 612 + 14 + 3 + 3 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 295788264662016 + 128853396552321 = 17198496^2 + 11351361^2 .

It is not a de Polignac number, because 424641661214337 - 24 = 424641661214321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (424641661214357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208587864 + ... + 210613817.

It is an arithmetic number, because the mean of its divisors is an integer number (19828449159441).

Almost surely, 2424641661214337 is an apocalyptic number.

It is an amenable number.

424641661214337 is a deficient number, since it is larger than the sum of its proper divisors (289182508525539).

424641661214337 is a wasteful number, since it uses less digits than its factorization.

424641661214337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419203998 (or 419203988 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 424641661214337 in words is "four hundred twenty-four trillion, six hundred forty-one billion, six hundred sixty-one million, two hundred fourteen thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 21 49 63 147 441 2297 6891 16079 20673 48237 112553 144711 337659 1012977 419201681 1257605043 2934411767 3772815129 8803235301 20540882369 26409705903 61622647107 184867941321 962906261257 2888718783771 6740343828799 8666156351313 20221031486397 47182406801593 60663094459191 141547220404779 424641661214337