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299444221440 = 2934572132267
BaseRepresentation
bin1000101101110000100…
…01000011011000000000
31001121220210010112220000
410112320101003120000
514401230210041230
6345321320520000
730430335612600
oct4267021033000
91047823115800
10299444221440
11105aa2502681
124a04b320000
1322311947160
14106c93cac00
157bc89c8b60
hex45b8443600

299444221440 has 1200 divisors, whose sum is σ = 1344182373072. Its totient is φ = 63151570944.

The previous prime is 299444221423. The next prime is 299444221459. The reversal of 299444221440 is 44122444992.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 132087187 + ... + 132089453.

Almost surely, 2299444221440 is an apocalyptic number.

299444221440 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 299444221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672091186536).

299444221440 is an abundant number, since it is smaller than the sum of its proper divisors (1044738151632).

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

299444221440 is a wasteful number, since it uses less digits than its factorization.

299444221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 299444221440 in words is "two hundred ninety-nine billion, four hundred forty-four million, two hundred twenty-one thousand, four hundred forty".