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148043841120 = 25325724744641
BaseRepresentation
bin1000100111100000011…
…0011011111001100000
3112011010102121100100200
42021320012123321200
54411143210403440
6152002125145200
713460443613100
oct2117006337140
9464112540320
10148043841120
115786a98601a
12248376bb200
1310c642150b6
147245a69200
153cb6ecbc30
hex227819be60

148043841120 has 432 divisors, whose sum is σ = 600198475968. Its totient is φ = 33117880320.

The previous prime is 148043841091. The next prime is 148043841203. The reversal of 148043841120 is 21148340841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3294000 + ... + 3338640.

It is an arithmetic number, because the mean of its divisors is an integer number (1389348324).

Almost surely, 2148043841120 is an apocalyptic number.

148043841120 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 148043841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300099237984).

148043841120 is an abundant number, since it is smaller than the sum of its proper divisors (452154634848).

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

148043841120 is a wasteful number, since it uses less digits than its factorization.

148043841120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44723 (or 44705 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 148043841120 in words is "one hundred forty-eight billion, forty-three million, eight hundred forty-one thousand, one hundred twenty".