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11415014145 = 325253666981
BaseRepresentation
bin10101010000110001…
…10100101100000001
31002110112100210121200
422220120310230001
5141334220423040
65124411211413
7552606006423
oct125030645401
932415323550
1011415014145
114928529097
122266a46b69
1310cbbc4b52
147a4062813
1546c21b630
hex2a8634b01

11415014145 has 12 divisors (see below), whose sum is σ = 19786024596. Its totient is φ = 6088007520.

The previous prime is 11415014129. The next prime is 11415014179. The reversal of 11415014145 is 54141051411.

It is a happy number.

11415014145 is a `hidden beast` number, since 1 + 14 + 1 + 501 + 4 + 145 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3388287681 + 8026726464 = 58209^2 + 89592^2 .

It is not a de Polignac number, because 11415014145 - 24 = 11415014129 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 126833446 + ... + 126833535.

It is an arithmetic number, because the mean of its divisors is an integer number (1648835383).

Almost surely, 211415014145 is an apocalyptic number.

11415014145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11415014145 is a deficient number, since it is larger than the sum of its proper divisors (8371010451).

11415014145 is a wasteful number, since it uses less digits than its factorization.

11415014145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253666992 (or 253666989 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 11415014145 its reverse (54141051411), we get a palindrome (65556065556).

The spelling of 11415014145 in words is "eleven billion, four hundred fifteen million, fourteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 253666981 761000943 1268334905 2283002829 3805004715 11415014145