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141989047200 = 253452711213199
BaseRepresentation
bin1000010000111100110…
…1001110101110100000
3111120111110102221120000
42010033031032232200
54311243144002300
6145121234020000
713154422662510
oct2041715165640
9446443387500
10141989047200
115524312a800
1223627a17600
131050a9a2bc0
146c2d875840
153a6066dc00
hex210f34eba0

141989047200 has 2160 divisors, whose sum is σ = 704023689600. Its totient is φ = 27097804800.

The previous prime is 141989047183. The next prime is 141989047253. The reversal of 141989047200 is 2740989141.

It is a happy number.

141989047200 is a `hidden beast` number, since 1 + 4 + 1 + 98 + 90 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 359 ways as a sum of consecutive naturals, for example, 713512701 + ... + 713512899.

Almost surely, 2141989047200 is an apocalyptic number.

141989047200 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 141989047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352011844800).

141989047200 is an abundant number, since it is smaller than the sum of its proper divisors (562034642400).

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

141989047200 is a wasteful number, since it uses less digits than its factorization.

141989047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 141989047200 in words is "one hundred forty-one billion, nine hundred eighty-nine million, forty-seven thousand, two hundred".