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148819133430144 = 273531233662407
BaseRepresentation
bin100001110101100110100111…
…100101010111100110000000
3201111220222012021200122100000
4201311212213211113212000
5124001223041124231034
61244302322135200000
743226553600421452
oct4165464745274600
9644828167618300
10148819133430144
1143466927129461
121483618a816000
136506779268808
1428a6c550802d2
1512311d9388599
hex8759a7957980

148819133430144 has 384 divisors, whose sum is σ = 460397512673280. Its totient is φ = 47800064839680.

The previous prime is 148819133430139. The next prime is 148819133430229. The reversal of 148819133430144 is 441034331918841.

148819133430144 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 191 + 3 + 3 + 430 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224332989 + ... + 224995395.

It is an arithmetic number, because the mean of its divisors is an integer number (1198951855920).

Almost surely, 2148819133430144 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 148819133430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230198756336640).

148819133430144 is an abundant number, since it is smaller than the sum of its proper divisors (311578379243136).

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

148819133430144 is an equidigital number, since it uses as much as digits as its factorization.

148819133430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662700 (or 662676 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 148819133430144 in words is "one hundred forty-eight trillion, eight hundred nineteen billion, one hundred thirty-three million, four hundred thirty thousand, one hundred forty-four".