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148739703318144 = 27331722349113187
BaseRepresentation
bin100001110100011100101001…
…001011100010011010000000
3201111122101011122220212201000
4201310130221023202122000
5123443422403022140034
61244202024300212000
743221042335543061
oct4164345113423200
9644571148825630
10148739703318144
11434361769836a4
121482290183a000
1364cc12b218643
1428a307bc90568
15122e0dae3a599
hex8747292e2680

148739703318144 has 768 divisors, whose sum is σ = 487633832985600. Its totient is φ = 44540307947520.

The previous prime is 148739703318133. The next prime is 148739703318163. The reversal of 148739703318144 is 441813307937841.

148739703318144 is a `hidden beast` number, since 1 + 4 + 8 + 73 + 97 + 0 + 331 + 8 + 144 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11279261119 + ... + 11279274305.

It is an arithmetic number, because the mean of its divisors is an integer number (634939886700).

Almost surely, 2148739703318144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148739703318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243816916492800).

148739703318144 is an abundant number, since it is smaller than the sum of its proper divisors (338894129667456).

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

148739703318144 is a wasteful number, since it uses less digits than its factorization.

148739703318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13758 (or 13723 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 148739703318144 in words is "one hundred forty-eight trillion, seven hundred thirty-nine billion, seven hundred three million, three hundred eighteen thousand, one hundred forty-four".