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4307383346112 = 2632711271124351
BaseRepresentation
bin111110101011100100000…
…011011110001111000000
3120020210002221200120110200
4332223210003132033000
51031033010114033422
613054441245525200
7623124655225050
oct76534403361700
916223087616420
104307383346112
111410829673100
12596971b73800
132532524904a2
1410c69aca9560
15770a19572ac
hex3eae40de3c0

4307383346112 has 504 divisors, whose sum is σ = 15728017084416. Its totient is φ = 1103034240000.

The previous prime is 4307383346111. The next prime is 4307383346173. The reversal of 4307383346112 is 2116433837034.

4307383346112 is a `hidden beast` number, since 4 + 30 + 73 + 83 + 3 + 461 + 12 = 666.

4307383346112 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 (504).

It is a super-3 number, since 3×43073833461123 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4307383346111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34576737 + ... + 34701087.

It is an arithmetic number, because the mean of its divisors is an integer number (31206383104).

Almost surely, 24307383346112 is an apocalyptic number.

4307383346112 is a gapful number since it is divisible by the number (42) 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 4307383346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864008542208).

4307383346112 is an abundant number, since it is smaller than the sum of its proper divisors (11420633738304).

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

4307383346112 is a wasteful number, since it uses less digits than its factorization.

4307383346112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124469 (or 124445 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 4307383346112 in words is "four trillion, three hundred seven billion, three hundred eighty-three million, three hundred forty-six thousand, one hundred twelve".