Search a number
-
+
132414141144 = 23347924112703
BaseRepresentation
bin111101101010001111…
…1110111001011011000
3110122210011120022200210
41323110133313023120
54132141010004034
6140455154331120
712365226425505
oct1732437671330
9418704508623
10132414141144
115117a3700aa
12217b5289aa0
13c6430a1c0c
1465a1d6a4ac
15369ec7e8e9
hex1ed47f72d8

132414141144 has 64 divisors (see below), whose sum is σ = 338141859840. Its totient is φ = 43190864640.

The previous prime is 132414141131. The next prime is 132414141163. The reversal of 132414141144 is 441141414231.

132414141144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10417497 + ... + 10430199.

It is an arithmetic number, because the mean of its divisors is an integer number (5283466560).

Almost surely, 2132414141144 is an apocalyptic number.

It is an amenable number.

132414141144 is an abundant number, since it is smaller than the sum of its proper divisors (205727718696).

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

132414141144 is a wasteful number, since it uses less digits than its factorization.

132414141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22000 (or 21996 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 132414141144 its reverse (441141414231), we get a palindrome (573555555375).

The spelling of 132414141144 in words is "one hundred thirty-two billion, four hundred fourteen million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 9241 12703 18482 25406 27723 36964 38109 50812 55446 73928 76218 101624 110892 152436 221784 304872 434327 597041 868654 1194082 1302981 1737308 1791123 2388164 2605962 3474616 3582246 4776328 5211924 7164492 10423848 14328984 117388423 234776846 352165269 469553692 704330538 939107384 1408661076 2817322152 5517255881 11034511762 16551767643 22069023524 33103535286 44138047048 66207070572 132414141144