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145237983800 = 235271318144089
BaseRepresentation
bin1000011101000011011…
…0111100001000111000
3111212212212220000201012
42013100312330020320
54334421410440200
6150415454013052
713331063331050
oct2072066741070
9455785800635
10145237983800
1156660067978
1224193aa7188
1310907b16ab0
14705b15c560
153ba09d6a35
hex21d0dbc238

145237983800 has 192 divisors, whose sum is σ = 417909710400. Its totient is φ = 45710438400.

The previous prime is 145237983799. The next prime is 145237983857. The reversal of 145237983800 is 8389732541.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3272156 + ... + 3316244.

It is an arithmetic number, because the mean of its divisors is an integer number (2176613075).

Almost surely, 2145237983800 is an apocalyptic number.

145237983800 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 145237983800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208954855200).

145237983800 is an abundant number, since it is smaller than the sum of its proper divisors (272671726600).

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

145237983800 is a wasteful number, since it uses less digits than its factorization.

145237983800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44306 (or 44297 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 145237983800 in words is "one hundred forty-five billion, two hundred thirty-seven million, nine hundred eighty-three thousand, eight hundred".