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140132244200 = 235213437511669
BaseRepresentation
bin1000001010000010001…
…0000101101011101000
3111101201001112120200112
42002200202011223220
54243442323303300
6144213104153452
713060415264624
oct2024042055350
9441631476615
10140132244200
115447aaa9173
12231aa008888
13102a30b50c0
146ad5014184
1539a2644e35
hex20a0885ae8

140132244200 has 192 divisors, whose sum is σ = 359722809600. Its totient is φ = 50440320000.

The previous prime is 140132244199. The next prime is 140132244229. The reversal of 140132244200 is 2442231041.

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 47 ways as a sum of consecutive naturals, for example, 83960966 + ... + 83962634.

It is an arithmetic number, because the mean of its divisors is an integer number (1873556300).

Almost surely, 2140132244200 is an apocalyptic number.

140132244200 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 140132244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179861404800).

140132244200 is an abundant number, since it is smaller than the sum of its proper divisors (219590565400).

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

140132244200 is a wasteful number, since it uses less digits than its factorization.

140132244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 140132244200 its reverse (2442231041), we get a palindrome (142574475241).

The spelling of 140132244200 in words is "one hundred forty billion, one hundred thirty-two million, two hundred forty-four thousand, two hundred".