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12014098009128 = 2332166862472349
BaseRepresentation
bin1010111011010100000000…
…0010110100110000101000
31120112112111010222011121200
42232311000002310300220
53033314333042243003
641315111143204200
72346663356061645
oct256650002646050
946475433864550
1012014098009128
113912172134816
1214204b5146660
13691c033c6017
142d76b20c8dcc
1515c7aa9636a3
hexaed400b4c28

12014098009128 has 24 divisors (see below), whose sum is σ = 32538182108250. Its totient is φ = 4004699336352.

The previous prime is 12014098009103. The next prime is 12014098009159. The reversal of 12014098009128 is 82190089041021.

It can be written as a sum of positive squares in only one way, i.e., 11941738085124 + 72359924004 = 3455682^2 + 268998^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×120140980091283 (a number of 40 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 83431236103 + ... + 83431236246.

Almost surely, 212014098009128 is an apocalyptic number.

12014098009128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12014098009128 is an abundant number, since it is smaller than the sum of its proper divisors (20524084099122).

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

12014098009128 is a wasteful number, since it uses less digits than its factorization.

12014098009128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166862472361 (or 166862472354 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 12014098009128 in words is "twelve trillion, fourteen billion, ninety-eight million, nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 166862472349 333724944698 500587417047 667449889396 1001174834094 1334899778792 1501762251141 2002349668188 3003524502282 4004699336376 6007049004564 12014098009128