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148434641208 = 233374433661
BaseRepresentation
bin1000101000111101100…
…1001110000100111000
3112012010122222001022000
42022033121032010320
54412443232004313
6152105005301000
713503230430000
oct2121731160470
9465118861260
10148434641208
1157a505379a7
1224926564760
1310cc7185059
147281917000
153cdb474673
hex228f64e138

148434641208 has 320 divisors, whose sum is σ = 482849824800. Its totient is φ = 42247941120.

The previous prime is 148434641207. The next prime is 148434641221. The reversal of 148434641208 is 802146434841.

148434641208 is a `hidden beast` number, since 1 + 4 + 8 + 434 + 6 + 4 + 1 + 208 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148434641207) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 224560398 + ... + 224561058.

Almost surely, 2148434641208 is an apocalyptic number.

148434641208 is a gapful number since it is divisible by the number (18) 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 148434641208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241424912400).

148434641208 is an abundant number, since it is smaller than the sum of its proper divisors (334415183592).

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

148434641208 is an equidigital number, since it uses as much as digits as its factorization.

148434641208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 148434641208 in words is "one hundred forty-eight billion, four hundred thirty-four million, six hundred forty-one thousand, two hundred eight".