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147414000000 = 2735679311
BaseRepresentation
bin1000100101001010001…
…1110010000110000000
3112002111112110002202210
42021102203302012000
54403400441000000
6151415425342120
713436025216441
oct2112243620600
9462445402683
10147414000000
11575773a6073
12246a0797940
1310b9389b947
1471c61552c8
153c7ba67350
hex22528f2180

147414000000 has 448 divisors, whose sum is σ = 497243635200. Its totient is φ = 38688000000.

The previous prime is 147413999927. The next prime is 147414000029. The reversal of 147414000000 is 414741.

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 55 ways as a sum of consecutive naturals, for example, 473999845 + ... + 474000155.

Almost surely, 2147414000000 is an apocalyptic number.

147414000000 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 147414000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248621817600).

147414000000 is an abundant number, since it is smaller than the sum of its proper divisors (349829635200).

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

147414000000 is an frugal number, since it uses more digits than its factorization.

147414000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 147414000000 its reverse (414741), we get a palindrome (147414414741).

The spelling of 147414000000 in words is "one hundred forty-seven billion, four hundred fourteen million", and thus it is an aban number.