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140273078400 = 27345271319313
BaseRepresentation
bin1000001010100011101…
…1010101000010000000
3111102001212112200220000
42002220323111002000
54244234402002100
6144235054520000
713064045331150
oct2025073250200
9442055480800
10140273078400
115454254aa74
1223229206000
13102c6325050
146b099d4760
1539aebb3900
hex20a8ed5080

140273078400 has 1920 divisors, whose sum is σ = 672767356800. Its totient is φ = 27948810240.

The previous prime is 140273078317. The next prime is 140273078441. The reversal of 140273078400 is 4870372041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 448156644 + ... + 448156956.

It is an arithmetic number, because the mean of its divisors is an integer number (350399665).

Almost surely, 2140273078400 is an apocalyptic number.

140273078400 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 140273078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336383678400).

140273078400 is an abundant number, since it is smaller than the sum of its proper divisors (532494278400).

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

140273078400 is a wasteful number, since it uses less digits than its factorization.

140273078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 140273078400 in words is "one hundred forty billion, two hundred seventy-three million, seventy-eight thousand, four hundred".