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141328932750 = 23253611975227
BaseRepresentation
bin1000001110011111011…
…1000101111110001110
3111111210110022122202200
42003213313011332032
54303420201322000
6144531533302330
713132156051545
oct2034767057616
9444713278680
10141328932750
1154a34552a75
12234829349a6
1310433cba235
146ba9d2115c
153a22729500
hex20e7dc5f8e

141328932750 has 192 divisors, whose sum is σ = 390464597952. Its totient is φ = 36874656000.

The previous prime is 141328932709. The next prime is 141328932751. The reversal of 141328932750 is 57239823141.

It is a happy number.

141328932750 is a `hidden beast` number, since 1 + 41 + 3 + 289 + 327 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 141328932696 and 141328932705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141328932751) 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, 27035637 + ... + 27040863.

It is an arithmetic number, because the mean of its divisors is an integer number (2033669781).

Almost surely, 2141328932750 is an apocalyptic number.

141328932750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141328932750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195232298976).

141328932750 is an abundant number, since it is smaller than the sum of its proper divisors (249135665202).

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

141328932750 is a wasteful number, since it uses less digits than its factorization.

141328932750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 141328932750 in words is "one hundred forty-one billion, three hundred twenty-eight million, nine hundred thirty-two thousand, seven hundred fifty".