Search a number
-
+
430345105424031 = 3725434075387339
BaseRepresentation
bin110000111011001011000011…
…1001000111011111010011111
32002102201120221022200212000110
41201312112013020323322133
5422401233233442032111
64123133451233101103
7156434256614125200
oct14166260710737237
92072646838625013
10430345105424031
11115137374a35696
12403239210b7793
13156184a54bc305
14783ab583a95a7
1534b43e53cb5a6
hex187658723be9f

430345105424031 has 24 divisors (see below), whose sum is σ = 667475393276160. Its totient is φ = 245910990631152.

The previous prime is 430345105424021. The next prime is 430345105424063. The reversal of 430345105424031 is 130424501543034.

It is not a de Polignac number, because 430345105424031 - 213 = 430345105415839 is a prime.

It is a super-2 number, since 2×4303451054240312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430345105424011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77187160 + ... + 82574498.

It is an arithmetic number, because the mean of its divisors is an integer number (27811474719840).

Almost surely, 2430345105424031 is an apocalyptic number.

430345105424031 is a deficient number, since it is larger than the sum of its proper divisors (237130287852129).

430345105424031 is a wasteful number, since it uses less digits than its factorization.

430345105424031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930763 (or 5930756 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 430345105424031 its reverse (130424501543034), we get a palindrome (560769606967065).

The spelling of 430345105424031 in words is "four hundred thirty trillion, three hundred forty-five billion, one hundred five million, four hundred twenty-four thousand, thirty-one".

Divisors: 1 3 7 21 49 147 543407 1630221 3803849 5387339 11411547 16162017 26626943 37711373 79880829 113134119 263979611 791938833 2927517723973 8782553171919 20492624067811 61477872203433 143448368474677 430345105424031