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132024032140 = 2257111359111773
BaseRepresentation
bin111101011110100111…
…1101101101110001100
3110121202222111201202011
41322331033231232030
54130341123012030
6140352341111004
712352451520460
oct1727517555614
9417688451664
10132024032140
1150a9a140470
12217066b8464
13c5b03146a0
14656621c4a0
15367a8c1b2a
hex1ebd3edb8c

132024032140 has 192 divisors, whose sum is σ = 378565125120. Its totient is φ = 37340789760.

The previous prime is 132024032137. The next prime is 132024032141. The reversal of 132024032140 is 41230420231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (132024032141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1125294 + ... + 1237066.

It is an arithmetic number, because the mean of its divisors is an integer number (1971693360).

Almost surely, 2132024032140 is an apocalyptic number.

132024032140 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 132024032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189282562560).

132024032140 is an abundant number, since it is smaller than the sum of its proper divisors (246541092980).

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

132024032140 is a wasteful number, since it uses less digits than its factorization.

132024032140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111872 (or 111870 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 132024032140 its reverse (41230420231), we get a palindrome (173254452371).

The spelling of 132024032140 in words is "one hundred thirty-two billion, twenty-four million, thirty-two thousand, one hundred forty".