Search a number
-
+
1132431345450 = 232528330319447
BaseRepresentation
bin10000011110101010001…
…010110000011100101010
311000021000002100211001100
4100132222022300130222
5122023204411023300
62224122021502230
7144546463421046
oct20365212603452
94007002324040
101132431345450
113a7296a76929
12163580b71976
1382a31ab2502
143cb4a7b1026
151e6ccc93700
hex107aa2b072a

1132431345450 has 72 divisors (see below), whose sum is σ = 3079121861088. Its totient is φ = 298343348640.

The previous prime is 1132431345443. The next prime is 1132431345499. The reversal of 1132431345450 is 545431342311.

1132431345450 is a `hidden beast` number, since 1 + 1 + 32 + 43 + 134 + 5 + 450 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15122374 + ... + 15197073.

It is an arithmetic number, because the mean of its divisors is an integer number (42765581404).

Almost surely, 21132431345450 is an apocalyptic number.

1132431345450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1132431345450 is an abundant number, since it is smaller than the sum of its proper divisors (1946690515638).

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

1132431345450 is a wasteful number, since it uses less digits than its factorization.

1132431345450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30319548 (or 30319540 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 1132431345450 its reverse (545431342311), we get a palindrome (1677862687761).

The spelling of 1132431345450 in words is "one trillion, one hundred thirty-two billion, four hundred thirty-one million, three hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 83 90 150 166 225 249 415 450 498 747 830 1245 1494 2075 2490 3735 4150 6225 7470 12450 18675 37350 30319447 60638894 90958341 151597235 181916682 272875023 303194470 454791705 545750046 757986175 909583410 1364375115 1515972350 2273958525 2516514101 2728750230 4547917050 5033028202 6821875575 7549542303 12582570505 13643751150 15099084606 22648626909 25165141010 37747711515 45297253818 62912852525 75495423030 113243134545 125825705050 188738557575 226486269090 377477115150 566215672725 1132431345450