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141442042200 = 23352299118923
BaseRepresentation
bin1000001110111010011…
…0100100100101011000
3111112002100011012202120
42003232212210211120
54304133130322300
6144551053501240
713135031343654
oct2035646444530
9445070135676
10141442042200
1154a92388858
12234b47a1820
13104515709c4
146bbad65a64
153a2c61d3a0
hex20ee9a4958

141442042200 has 192 divisors, whose sum is σ = 454138790400. Its totient is φ = 36373209600.

The previous prime is 141442042177. The next prime is 141442042241. The reversal of 141442042200 is 2240244141.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 15846939 + ... + 15855861.

It is an arithmetic number, because the mean of its divisors is an integer number (2365306200).

Almost surely, 2141442042200 is an apocalyptic number.

141442042200 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 141442042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227069395200).

141442042200 is an abundant number, since it is smaller than the sum of its proper divisors (312696748200).

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

141442042200 is a wasteful number, since it uses less digits than its factorization.

141442042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 141442042200 its reverse (2240244141), we get a palindrome (143682286341).

The spelling of 141442042200 in words is "one hundred forty-one billion, four hundred forty-two million, forty-two thousand, two hundred".