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121443107584 = 287110936113
BaseRepresentation
bin111000100011010010…
…0101100001100000000
3102121110120122001221111
41301012210230030000
53442203413420314
6131442403133104
711526321245101
oct1610644541400
9377416561844
10121443107584
114755a517217
121b653074194
13b5b5179c96
145c40c7a3a8
15325ba12ec4
hex1c4692c300

121443107584 has 72 divisors (see below), whose sum is σ = 246091239072. Its totient is φ = 59801763840.

The previous prime is 121443107581. The next prime is 121443107609. The reversal of 121443107584 is 485701344121.

It is not an unprimeable number, because it can be changed into a prime (121443107581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19863312 + ... + 19869424.

It is an arithmetic number, because the mean of its divisors is an integer number (3417933876).

Almost surely, 2121443107584 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 121443107584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123045619536).

121443107584 is an abundant number, since it is smaller than the sum of its proper divisors (124648131488).

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

121443107584 is an equidigital number, since it uses as much as digits as its factorization.

121443107584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293 (or 7279 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 121443107584 in words is "one hundred twenty-one billion, four hundred forty-three million, one hundred seven thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 1093 1136 2186 2272 4372 4544 6113 8744 9088 12226 17488 18176 24452 34976 48904 69952 77603 97808 139904 155206 195616 279808 310412 391232 434023 620824 782464 868046 1241648 1564928 1736092 2483296 3472184 4966592 6681509 6944368 9933184 13363018 13888736 19866368 26726036 27777472 53452072 55554944 106904144 111109888 213808288 427616576 474387139 855233152 948774278 1710466304 1897548556 3795097112 7590194224 15180388448 30360776896 60721553792 121443107584