Search a number
-
+
132234430000 = 245441322523
BaseRepresentation
bin111101100100111001…
…0010100011000110000
3110122022122102001100111
41323021302110120300
54131304003230000
6140425254431104
712360615052351
oct1731162243060
9418278361314
10132234430000
11510979854a2
1221765062494
13c614a9c66a
146586149d28
15368e0d1cba
hex1ec9c94630

132234430000 has 100 divisors (see below), whose sum is σ = 327962399688. Its totient is φ = 51603520000.

The previous prime is 132234429973. The next prime is 132234430039. The reversal of 132234430000 is 34432231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 248739 + ... + 571261.

Almost surely, 2132234430000 is an apocalyptic number.

132234430000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132234430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163981199844).

132234430000 is an abundant number, since it is smaller than the sum of its proper divisors (195727969688).

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

132234430000 is an equidigital number, since it uses as much as digits as its factorization.

132234430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322592 (or 322571 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 132234430000 its reverse (34432231), we get a palindrome (132268862231).

The spelling of 132234430000 in words is "one hundred thirty-two billion, two hundred thirty-four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 5000 5125 8200 10000 10250 16400 20500 25625 41000 51250 82000 102500 205000 322523 410000 645046 1290092 1612615 2580184 3225230 5160368 6450460 8063075 12900920 13223443 16126150 25801840 26446886 32252300 40315375 52893772 64504600 66117215 80630750 105787544 129009200 132234430 161261500 201576875 211575088 264468860 322523000 330586075 403153750 528937720 645046000 661172150 806307500 1057875440 1322344300 1612615000 1652930375 2644688600 3225230000 3305860750 5289377200 6611721500 8264651875 13223443000 16529303750 26446886000 33058607500 66117215000 132234430000