Search a number
-
+
430343144231000 = 235371121339083021
BaseRepresentation
bin110000111011001010001001…
…0001111100101000001011000
32002102201101212122100220221112
41201312110102033211001120
5422401220224410343000
64123132524453555452
7156434160201222230
oct14166242217450130
92072641778326845
10430343144231000
11115136558994300
1240323474345b88
13156182520b1770
14783aa0db32cc0
1534b432d132235
hex18765123e5058

430343144231000 has 384 divisors, whose sum is σ = 1362302827966080. Its totient is φ = 123815007360000.

The previous prime is 430343144230891. The next prime is 430343144231003. The reversal of 430343144231000 is 132441343034.

It is a super-4 number, since 4×4303431442310004 (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430343144231003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8530511 + ... + 30552510.

It is an arithmetic number, because the mean of its divisors is an integer number (3547663614495).

Almost surely, 2430343144231000 is an apocalyptic number.

430343144231000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430343144231000 is an abundant number, since it is smaller than the sum of its proper divisors (931959683735080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

430343144231000 is a wasteful number, since it uses less digits than its factorization.

430343144231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39083084 (or 39083059 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 430343144231000 its reverse (132441343034), we get a palindrome (430475585574034).

The spelling of 430343144231000 in words is "four hundred thirty trillion, three hundred forty-three billion, one hundred forty-four million, two hundred thirty-one thousand".