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147321300480 = 29351271311153
BaseRepresentation
bin1000100100110100001…
…0001010011000000000
3112002021002000110221020
42021031002022120000
54403203223103410
6151402314425440
713433521251444
oct2111502123000
9462232013836
10147321300480
115752a0405a2
1224675732280
1310b7a613063
1471b7b04824
153c73855a70
hex224d08a600

147321300480 has 320 divisors, whose sum is σ = 478714503168. Its totient is φ = 38645268480.

The previous prime is 147321300457. The next prime is 147321300481. The reversal of 147321300480 is 84003123741.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147321300481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127771584 + ... + 127772736.

Almost surely, 2147321300480 is an apocalyptic number.

147321300480 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 147321300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239357251584).

147321300480 is an abundant number, since it is smaller than the sum of its proper divisors (331393202688).

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

147321300480 is a wasteful number, since it uses less digits than its factorization.

147321300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 147321300480 in words is "one hundred forty-seven billion, three hundred twenty-one million, three hundred thousand, four hundred eighty".