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148444208640 = 29325713101701
BaseRepresentation
bin1000101000111111110…
…1101101111000000000
3112012011022222010100100
42022033331231320000
54413003204134030
6152105550322400
713503404645250
oct2121775557000
9465138863310
10148444208640
1157a55982072
12249297b9400
1310cc9154a60
147282cc7960
153cdc214360
hex228ff6de00

148444208640 has 960 divisors, whose sum is σ = 639919792512. Its totient is φ = 30965760000.

The previous prime is 148444208639. The next prime is 148444208663. The reversal of 148444208640 is 46802444841.

148444208640 is a `hidden beast` number, since 14 + 84 + 442 + 0 + 86 + 40 = 666.

148444208640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 211760290 + ... + 211760990.

Almost surely, 2148444208640 is an apocalyptic number.

148444208640 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 148444208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319959896256).

148444208640 is an abundant number, since it is smaller than the sum of its proper divisors (491475583872).

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

148444208640 is a wasteful number, since it uses less digits than its factorization.

148444208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 148444208640 in words is "one hundred forty-eight billion, four hundred forty-four million, two hundred eight thousand, six hundred forty".