Search a number
-
+
120224248984 = 23710720064127
BaseRepresentation
bin110111111110111101…
…1000111010010011000
3102111022122010122021101
41233331323013102120
53432204401431414
6131121422521144
711454161153350
oct1577573072230
9374278118241
10120224248984
1146a944aa764
121b372a361b4
13b44c7b1a88
145b6703bb60
1531d99eea74
hex1bfdec7498

120224248984 has 32 divisors (see below), whose sum is σ = 260031098880. Its totient is φ = 51043136544.

The previous prime is 120224248973. The next prime is 120224248987. The reversal of 120224248984 is 489842422021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120224248987) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10026072 + ... + 10038055.

It is an arithmetic number, because the mean of its divisors is an integer number (8125971840).

Almost surely, 2120224248984 is an apocalyptic number.

120224248984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120224248984 is an abundant number, since it is smaller than the sum of its proper divisors (139806849896).

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

120224248984 is a wasteful number, since it uses less digits than its factorization.

120224248984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20064247 (or 20064243 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 120224248984 in words is "one hundred twenty billion, two hundred twenty-four million, two hundred forty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 749 856 1498 2996 5992 20064127 40128254 80256508 140448889 160513016 280897778 561795556 1123591112 2146861589 4293723178 8587446356 15028031123 17174892712 30056062246 60112124492 120224248984