Search a number
-
+
414122114223 = 321131273206297
BaseRepresentation
bin1100000011010111001…
…10011111110010101111
31110120220212211002210100
412001223212133302233
523241110230123343
6514124534042143
741630221614456
oct6015346376257
91416825732710
10414122114223
1114a6a0156884
12683147a9353
133008933454c
1416087985b9d
15ab8b5ed9d3
hex606b99fcaf

414122114223 has 24 divisors (see below), whose sum is σ = 608221905408. Its totient is φ = 271483494912.

The previous prime is 414122114209. The next prime is 414122114227. The reversal of 414122114223 is 322411221414.

414122114223 is a `hidden beast` number, since 4 + 1 + 412 + 21 + 1 + 4 + 223 = 666.

It is not a de Polignac number, because 414122114223 - 213 = 414122106031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414122114227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473990 + ... + 1732307.

It is an arithmetic number, because the mean of its divisors is an integer number (25342579392).

Almost surely, 2414122114223 is an apocalyptic number.

414122114223 is a deficient number, since it is larger than the sum of its proper divisors (194099791185).

414122114223 is a wasteful number, since it uses less digits than its factorization.

414122114223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206543 (or 3206540 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 414122114223 its reverse (322411221414), we get a palindrome (736533335637).

The spelling of 414122114223 in words is "four hundred fourteen billion, one hundred twenty-two million, one hundred fourteen thousand, two hundred twenty-three".

Divisors: 1 3 9 113 127 339 381 1017 1143 14351 43053 129159 3206297 9618891 28856673 362311561 407199719 1086934683 1221599157 3260804049 3664797471 46013568247 138040704741 414122114223