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147809334240 = 253251731261103
BaseRepresentation
bin1000100110101000011…
…1110111001111100000
3112010112002100011101200
42021222013313033200
54410203142143430
6151522551001200
713451565416421
oct2115207671740
9463462304350
10147809334240
115775a574587
1224791069200
1310c27768629
147222863648
153ca1608460
hex226a1f73e0

147809334240 has 864 divisors, whose sum is σ = 566346126528. Its totient is φ = 34969190400.

The previous prime is 147809334199. The next prime is 147809334241. The reversal of 147809334240 is 42433908741.

147809334240 is a `hidden beast` number, since 1 + 4 + 78 + 0 + 9 + 334 + 240 = 666.

147809334240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147809334241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1435042029 + ... + 1435042131.

It is an arithmetic number, because the mean of its divisors is an integer number (655493202).

Almost surely, 2147809334240 is an apocalyptic number.

147809334240 is a gapful number since it is divisible by the number (10) 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 147809334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283173063264).

147809334240 is an abundant number, since it is smaller than the sum of its proper divisors (418536792288).

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

147809334240 is a wasteful number, since it uses less digits than its factorization.

147809334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 147809334240 in words is "one hundred forty-seven billion, eight hundred nine million, three hundred thirty-four thousand, two hundred forty".