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132114400140 = 223510720578567
BaseRepresentation
bin111101100001010100…
…0011100001110001100
3110122000021112220100010
41323002220130032030
54131032241301030
6140405330033220
712354626605152
oct1730250341614
9418007486303
10132114400140
1151036153268
1221730a18810
13c5c5c64c88
1465742233d2
1536837c26b0
hex1ec2a1c38c

132114400140 has 48 divisors (see below), whose sum is σ = 373377537792. Its totient is φ = 34901247936.

The previous prime is 132114400127. The next prime is 132114400213. The reversal of 132114400140 is 41004411231.

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 15 ways as a sum of consecutive naturals, for example, 10282864 + ... + 10295703.

It is an arithmetic number, because the mean of its divisors is an integer number (7778698704).

Almost surely, 2132114400140 is an apocalyptic number.

132114400140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132114400140 is an abundant number, since it is smaller than the sum of its proper divisors (241263137652).

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

132114400140 is a wasteful number, since it uses less digits than its factorization.

132114400140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20578686 (or 20578684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 132114400140 its reverse (41004411231), we get a palindrome (173118811371).

The spelling of 132114400140 in words is "one hundred thirty-two billion, one hundred fourteen million, four hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 20578567 41157134 61735701 82314268 102892835 123471402 205785670 246942804 308678505 411571340 617357010 1234714020 2201906669 4403813338 6605720007 8807626676 11009533345 13211440014 22019066690 26422880028 33028600035 44038133380 66057200070 132114400140