Search a number
-
+
432101024013030 = 23535059410832239
BaseRepresentation
bin110001000111111100101110…
…0000010110001101011100110
32002122221110021022022022122020
41202033321130002301223212
5423114020344121404110
64131000245310244010
7160005161121641061
oct14217713402615346
92078843238268566
10432101024013030
11115754019228799
12405680a67b6606
1315714c4ac27b68
14789bb305038d8
1534e4e14e95d70
hex188fe5c0b1ae6

432101024013030 has 32 divisors (see below), whose sum is σ = 1037072040076800. Its totient is φ = 115223652798432.

The previous prime is 432101024013019. The next prime is 432101024013031. The reversal of 432101024013030 is 30310420101234.

It is a happy number.

It is a super-4 number, since 4×4321010240130304 (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432101024013031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204364350 + ... + 206467889.

It is an arithmetic number, because the mean of its divisors is an integer number (32408501252400).

Almost surely, 2432101024013030 is an apocalyptic number.

432101024013030 is an abundant number, since it is smaller than the sum of its proper divisors (604971016063770).

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

432101024013030 is a wasteful number, since it uses less digits than its factorization.

432101024013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410867308.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 432101024013030 its reverse (30310420101234), we get a palindrome (462411444114264).

The spelling of 432101024013030 in words is "four hundred thirty-two trillion, one hundred one billion, twenty-four million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 35059 70118 105177 175295 210354 350590 525885 1051770 410832239 821664478 1232496717 2054161195 2464993434 4108322390 6162483585 12324967170 14403367467101 28806734934202 43210102401303 72016837335505 86420204802606 144033674671010 216050512006515 432101024013030