Search a number
-
+
223143343400431 = 5967121346536779
BaseRepresentation
bin110010101111001010011011…
…101101111010010111101111
31002021002021222021021001121001
4302233022123231322113233
5213221440031402303211
62110330345313421131
765000401032365116
oct6257123355722757
91067067867231531
10223143343400431
1165111619018453
122103a81226a7a7
13976843353133c
143d162a443cc7d
151abe70cb62ac1
hexcaf29bb7a5ef

223143343400431 has 16 divisors (see below), whose sum is σ = 230502255753600. Its totient is φ = 215909056855008.

The previous prime is 223143343400407. The next prime is 223143343400443. The reversal of 223143343400431 is 134004343341322.

It is a cyclic number.

It is not a de Polignac number, because 223143343400431 - 29 = 223143343399919 is a prime.

It is a super-3 number, since 3×2231433434004313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223143343401431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18473401 + ... + 28063378.

It is an arithmetic number, because the mean of its divisors is an integer number (14406390984600).

Almost surely, 2223143343400431 is an apocalyptic number.

223143343400431 is a deficient number, since it is larger than the sum of its proper divisors (7358912353169).

223143343400431 is a wasteful number, since it uses less digits than its factorization.

223143343400431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46538118.

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 223143343400431 its reverse (134004343341322), we get a palindrome (357147686741753).

The spelling of 223143343400431 in words is "two hundred twenty-three trillion, one hundred forty-three billion, three hundred forty-three million, four hundred thousand, four hundred thirty-one".

Divisors: 1 59 67 1213 3953 71567 81271 4794989 46536779 2745669961 3117964193 56449112927 183959887387 3330497662693 3782090566109 223143343400431