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298134109440 = 2832597266801
BaseRepresentation
bin1000101011010100010…
…11010111110100000000
31001111112110220222002100
410111222023113310000
514341034313000230
6344543320350400
730353020055226
oct4255213276400
91044473828070
10298134109440
1110548aa29092
1249944615400
13221633ab65b
14106033d6b16
157b4d98c660
hex456a2d7d00

298134109440 has 216 divisors, whose sum is σ = 1042151023368. Its totient is φ = 78682521600.

The previous prime is 298134109417. The next prime is 298134109517. The reversal of 298134109440 is 44901431892.

298134109440 is a `hidden beast` number, since 2 + 98 + 13 + 4 + 109 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1954347264 + 296179762176 = 44208^2 + 544224^2 .

It is a super-2 number, since 2×2981341094402 (a number of 24 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984040 + ... + 1250840.

Almost surely, 2298134109440 is an apocalyptic number.

298134109440 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 298134109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521075511684).

298134109440 is an abundant number, since it is smaller than the sum of its proper divisors (744016913928).

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

298134109440 is a wasteful number, since it uses less digits than its factorization.

298134109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266925 (or 266908 counting only the distinct ones).

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

The spelling of 298134109440 in words is "two hundred ninety-eight billion, one hundred thirty-four million, one hundred nine thousand, four hundred forty".