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140263785200 = 245271111713889
BaseRepresentation
bin1000001010100001011…
…1111000001011110000
3111102001020001120000102
42002220113320023300
54244230012111300
6144234123411532
713063603334240
oct2025027701360
9442036046012
10140263785200
1154538282940
1223226083ba8
13102c4420106
146b08695b20
1539ade7a0d5
hex20a85f82f0

140263785200 has 240 divisors, whose sum is σ = 420602484480. Its totient is φ = 43670016000.

The previous prime is 140263785173. The next prime is 140263785239. The reversal of 140263785200 is 2587362041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36064856 + ... + 36068744.

It is an arithmetic number, because the mean of its divisors is an integer number (1752510352).

Almost surely, 2140263785200 is an apocalyptic number.

140263785200 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 140263785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210301242240).

140263785200 is an abundant number, since it is smaller than the sum of its proper divisors (280338699280).

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

140263785200 is a wasteful number, since it uses less digits than its factorization.

140263785200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 140263785200 in words is "one hundred forty billion, two hundred sixty-three million, seven hundred eighty-five thousand, two hundred".