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147813120000 = 211335471347
BaseRepresentation
bin1000100110101001011…
…0010011100000000000
3112010112100110111111000
42021222112103200000
54410210124320000
6151523204052000
713451642534550
oct2115226234000
9463470414430
10147813120000
115776171a907
1224792394000
1310c28492820
14722316b160
153ca1b05000
hex226a593800

147813120000 has 1920 divisors, whose sum is σ = 687739852800. Its totient is φ = 30523392000.

The previous prime is 147813119977. The next prime is 147813120011. The reversal of 147813120000 is 21318741.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 3144959977 + ... + 3144960023.

It is an arithmetic number, because the mean of its divisors is an integer number (358197840).

Almost surely, 2147813120000 is an apocalyptic number.

147813120000 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 147813120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343869926400).

147813120000 is an abundant number, since it is smaller than the sum of its proper divisors (539926732800).

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

147813120000 is an equidigital number, since it uses as much as digits as its factorization.

147813120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 147813120000 its reverse (21318741), we get a palindrome (147834438741).

The spelling of 147813120000 in words is "one hundred forty-seven billion, eight hundred thirteen million, one hundred twenty thousand".