Search a number
-
+
416420214433 = 311131373592417
BaseRepresentation
bin1100000111101001001…
…01000011011010100001
31110210212001002200121221
412003310211003122201
523310312033330213
6515144550215041
742041165264206
oct6036445033241
91423761080557
10416420214433
1115066a39a553
1268856354481
1330364492a62
1416224c7bcad
15ac7324738d
hex60f49436a1

416420214433 has 32 divisors (see below), whose sum is σ = 438220523520. Its totient is φ = 395237498880.

The previous prime is 416420214377. The next prime is 416420214437. The reversal of 416420214433 is 334412024614.

It is a cyclic number.

It is not a de Polignac number, because 416420214433 - 29 = 416420213921 is a prime.

It is a super-2 number, since 2×4164202144332 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416420214437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172286841 + ... + 172289257.

It is an arithmetic number, because the mean of its divisors is an integer number (13694391360).

Almost surely, 2416420214433 is an apocalyptic number.

It is an amenable number.

416420214433 is a deficient number, since it is larger than the sum of its proper divisors (21800309087).

416420214433 is a wasteful number, since it uses less digits than its factorization.

416420214433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057.

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 416420214433 in words is "four hundred sixteen billion, four hundred twenty million, two hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 31 113 137 359 2417 3503 4247 11129 15481 40567 49183 74927 273121 331129 479911 867703 1257577 1524673 5557679 8466751 10264999 26898793 37417577 98050439 118875311 172288049 1159944887 3039563609 3685134641 13432910143 416420214433