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2114440442415 = 325763113106357
BaseRepresentation
bin11110110001001110011…
…110001011001000101111
321111010201222201200012100
4132301032132023020233
5234120333223124130
64255205512510143
7305522543133540
oct36611636131057
97433658650170
102114440442415
11745802563014
122a19619ab353
131245109b42a2
14744a76b84c7
153a004d4bc60
hex1ec4e78b22f

2114440442415 has 48 divisors (see below), whose sum is σ = 4188711578688. Its totient is φ = 966576941568.

The previous prime is 2114440442377. The next prime is 2114440442423. The reversal of 2114440442415 is 5142440444112.

2114440442415 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 4 + 404 + 4 + 241 + 5 = 666.

It is not a de Polignac number, because 2114440442415 - 216 = 2114440376879 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2114440442415.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19827417 + ... + 19933773.

It is an arithmetic number, because the mean of its divisors is an integer number (87264824556).

Almost surely, 22114440442415 is an apocalyptic number.

2114440442415 is a deficient number, since it is larger than the sum of its proper divisors (2074271136273).

2114440442415 is a wasteful number, since it uses less digits than its factorization.

2114440442415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169488 (or 169485 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 2114440442415 its reverse (5142440444112), we get a palindrome (7256880886527).

The spelling of 2114440442415 in words is "two trillion, one hundred fourteen billion, four hundred forty million, four hundred forty-two thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 63113 106357 189339 315565 319071 441791 531785 568017 744499 946695 957213 1325373 1595355 2208955 2233497 2840085 3722495 3976119 4786065 6626865 6700491 11167485 19880595 33502455 6712509341 20137528023 33562546705 46987565387 60412584069 100687640115 140962696161 234937826935 302062920345 422888088483 704813480805 2114440442415