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299805143040 = 21232513125119
BaseRepresentation
bin1000101110011011100…
…01110111000000000000
31001122211221021021020200
410113031301313000000
514403000104034130
6345421212405200
730442310445264
oct4271561670000
91048757237220
10299805143040
11106168207397
124a130176800
132236b655530
14107212dc0a4
157bea51d760
hex45cdc77000

299805143040 has 312 divisors, whose sum is σ = 1119144848640. Its totient is φ = 73797599232.

The previous prime is 299805143023. The next prime is 299805143059. The reversal of 299805143040 is 40341508992.

299805143040 is a `hidden beast` number, since 2 + 9 + 98 + 0 + 514 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2333601 + ... + 2458719.

It is an arithmetic number, because the mean of its divisors is an integer number (3587002720).

Almost surely, 2299805143040 is an apocalyptic number.

299805143040 is a gapful number since it is divisible by the number (20) 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 299805143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559572424320).

299805143040 is an abundant number, since it is smaller than the sum of its proper divisors (819339705600).

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

299805143040 is a wasteful number, since it uses less digits than its factorization.

299805143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125167 (or 125142 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 299805143040 in words is "two hundred ninety-nine billion, eight hundred five million, one hundred forty-three thousand, forty".