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141144300 = 2232521153269
BaseRepresentation
bin10000110100110…
…11000011101100
3100211120212120200
420122123003230
5242113104200
622001113500
73332464263
oct1032330354
9324525520
10141144300
1172743890
123b328890
132331b14b
1414a615da
15c5d0800
hex869b0ec

141144300 has 216 divisors, whose sum is σ = 493562160. Its totient is φ = 33446400.

The previous prime is 141144257. The next prime is 141144313. The reversal of 141144300 is 3441141.

141144300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 524566 + ... + 524834.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2141144300 is an apocalyptic number.

141144300 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 141144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246781080).

141144300 is an abundant number, since it is smaller than the sum of its proper divisors (352417860).

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

141144300 is a wasteful number, since it uses less digits than its factorization.

141144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141144300 is about 11880.4166593601. The cubic root of 141144300 is about 520.6602805699.

Adding to 141144300 its reverse (3441141), we get a palindrome (144585441).

It can be divided in two parts, 141 and 144300, that added together give a palindrome (144441).

The spelling of 141144300 in words is "one hundred forty-one million, one hundred forty-four thousand, three hundred".