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4141112412303 = 334323914924057
BaseRepresentation
bin111100010000101101100…
…010001100100010001111
3112122212221020120222111000
4330100231202030202033
51020321444234143203
612450222322431343
7605120424503016
oct74205542144217
915585836528430
104141112412303
111357265aa8619
1256a6aa202553
13240674c95c59
141046065bba7d
1572abe6b54a3
hex3c42d88c88f

4141112412303 has 32 divisors (see below), whose sum is σ = 6303922099200. Its totient is φ = 2685255547968.

The previous prime is 4141112412259. The next prime is 4141112412313. The reversal of 4141112412303 is 3032142111414.

It is a happy number.

4141112412303 is a `hidden beast` number, since 4 + 1 + 4 + 111 + 241 + 2 + 303 = 666.

It is not a de Polignac number, because 4141112412303 - 237 = 4003673458831 is a prime.

It is a super-2 number, since 2×41411124123032 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141112412313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7184550 + ... + 7739507.

It is an arithmetic number, because the mean of its divisors is an integer number (196997565600).

Almost surely, 24141112412303 is an apocalyptic number.

4141112412303 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

4141112412303 is a deficient number, since it is larger than the sum of its proper divisors (2162809686897).

4141112412303 is a wasteful number, since it uses less digits than its factorization.

4141112412303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14924348 (or 14924342 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4141112412303 its reverse (3032142111414), we get a palindrome (7173254523717).

The spelling of 4141112412303 in words is "four trillion, one hundred forty-one billion, one hundred twelve million, four hundred twelve thousand, three hundred three".

Divisors: 1 3 9 27 43 129 239 387 717 1161 2151 6453 10277 30831 92493 277479 14924057 44772171 134316513 402949539 641734451 1925203353 3566849623 5775610059 10700548869 17326830177 32101646607 96304939821 153374533789 460123601367 1380370804101 4141112412303