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299775421440 = 2103251117191831
BaseRepresentation
bin1000101110011000000…
…00011110110000000000
31001122202212100020212200
410113030000132300000
514402420001441230
6345414231353200
730441500016345
oct4271400366000
91048685306780
10299775421440
11106152457090
124a122222800
132236544a1a1
141071b3a27cc
157be7aec160
hex45cc01ec00

299775421440 has 1056 divisors, whose sum is σ = 1263635043840. Its totient is φ = 64762675200.

The previous prime is 299775421409. The next prime is 299775421453. The reversal of 299775421440 is 44124577992.

299775421440 is a `hidden beast` number, since 2 + 9 + 97 + 7 + 542 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×2997754214402 (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 163721325 + ... + 163723155.

Almost surely, 2299775421440 is an apocalyptic number.

299775421440 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 299775421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631817521920).

299775421440 is an abundant number, since it is smaller than the sum of its proper divisors (963859622400).

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

299775421440 is a wasteful number, since it uses less digits than its factorization.

299775421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 299775421440 in words is "two hundred ninety-nine billion, seven hundred seventy-five million, four hundred twenty-one thousand, four hundred forty".