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132041705400 = 2332521141311523
BaseRepresentation
bin111101011111001001…
…1001000011110111000
3110121211012202121220100
41322332103020132320
54130410134033100
6140354211555400
712353054656143
oct1727623103670
9417735677810
10132041705400
1150aa9111670
12217105bbb60
13c5b3b91a37
1465686dd05a
15367c213400
hex1ebe4c87b8

132041705400 has 576 divisors, whose sum is σ = 498095619840. Its totient is φ = 31069440000.

The previous prime is 132041705387. The next prime is 132041705407. The reversal of 132041705400 is 4507140231.

132041705400 is a `hidden beast` number, since 13 + 2 + 0 + 41 + 70 + 540 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132041705407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 252469539 + ... + 252470061.

It is an arithmetic number, because the mean of its divisors is an integer number (864749340).

Almost surely, 2132041705400 is an apocalyptic number.

132041705400 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 132041705400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249047809920).

132041705400 is an abundant number, since it is smaller than the sum of its proper divisors (366053914440).

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

132041705400 is a wasteful number, since it uses less digits than its factorization.

132041705400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 132041705400 its reverse (4507140231), we get a palindrome (136548845631).

The spelling of 132041705400 in words is "one hundred thirty-two billion, forty-one million, seven hundred five thousand, four hundred".