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414423120223 = 7611377084277
BaseRepresentation
bin1100000011111011000…
…10101111100101011111
31110121200212012210101201
412001331202233211133
523242214304321343
6514214445420331
741640535254130
oct6017542574537
91417625183351
10414423120223
1114a835058072
126839956a6a7
13301067c51c8
14160b593bc87
15aba7c5a94d
hex607d8af95f

414423120223 has 16 divisors (see below), whose sum is σ = 484904660544. Its totient is φ = 346846152960.

The previous prime is 414423120131. The next prime is 414423120257. The reversal of 414423120223 is 322021324414.

It is a cyclic number.

It is not a de Polignac number, because 414423120223 - 29 = 414423119711 is a prime.

It is a super-2 number, since 2×4144231202232 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414423120191 and 414423120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414423120323) 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 15 ways as a sum of consecutive naturals, for example, 3483640 + ... + 3600637.

It is an arithmetic number, because the mean of its divisors is an integer number (30306541284).

Almost surely, 2414423120223 is an apocalyptic number.

414423120223 is a deficient number, since it is larger than the sum of its proper divisors (70481540321).

414423120223 is a wasteful number, since it uses less digits than its factorization.

414423120223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7084482.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 414423120223 its reverse (322021324414), we get a palindrome (736444444637).

The spelling of 414423120223 in words is "four hundred fourteen billion, four hundred twenty-three million, one hundred twenty thousand, two hundred twenty-three".

Divisors: 1 7 61 137 427 959 8357 58499 7084277 49589939 432140897 970545949 3024986279 6793821643 59203302889 414423120223