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132374242000 = 24537112136011
BaseRepresentation
bin111101101001000011…
…1101010001011010000
3110122200101111020100201
41323102013222023100
54132100301221000
6140451211224544
712364233330460
oct1732207521320
9418611436321
10132374242000
1151159899300
12217a3a48154
13c637a42260
14659a941ba0
15369b4ec96a
hex1ed21ea2d0

132374242000 has 480 divisors, whose sum is σ = 433086780672. Its totient is φ = 38079360000.

The previous prime is 132374241977. The next prime is 132374242003. The reversal of 132374242000 is 242473231.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 132374242000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132374242003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22018995 + ... + 22025005.

Almost surely, 2132374242000 is an apocalyptic number.

132374242000 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 132374242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216543390336).

132374242000 is an abundant number, since it is smaller than the sum of its proper divisors (300712538672).

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

132374242000 is a wasteful number, since it uses less digits than its factorization.

132374242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076 (or 6049 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The spelling of 132374242000 in words is "one hundred thirty-two billion, three hundred seventy-four million, two hundred forty-two thousand".