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299064141144 = 23331384556209
BaseRepresentation
bin1000101101000011001…
…11001010010101011000
31001120221021221110202000
410112201213022111120
514344440410004034
6345215502241000
730415042154016
oct4264147122530
91046837843660
10299064141144
11105917a0272a
1249b63b86160
1322280c8b582
1410690b2d8b6
157ba544c599
hex45a19ca558

299064141144 has 32 divisors (see below), whose sum is σ = 830733726000. Its totient is φ = 99688046976.

The previous prime is 299064141143. The next prime is 299064141149. The reversal of 299064141144 is 441141460992.

299064141144 is a `hidden beast` number, since 2 + 9 + 90 + 6 + 414 + 1 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 299064141144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299064141143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 692277889 + ... + 692278320.

Almost surely, 2299064141144 is an apocalyptic number.

299064141144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

299064141144 is an abundant number, since it is smaller than the sum of its proper divisors (531669584856).

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

299064141144 is a wasteful number, since it uses less digits than its factorization.

299064141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384556224 (or 1384556214 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 299064141144 in words is "two hundred ninety-nine billion, sixty-four million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1384556209 2769112418 4153668627 5538224836 8307337254 11076449672 12461005881 16614674508 24922011762 33229349016 37383017643 49844023524 74766035286 99688047048 149532070572 299064141144