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1349148015 = 33582312143
BaseRepresentation
bin101000001101010…
…0101110101101111
310111000122211011000
41100122211311233
510230340214030
6341512531343
745301366065
oct12032456557
93430584130
101349148015
11632616966
123179b0b53
13186685647
14cb276035
157d69c860
hex506a5d6f

1349148015 has 32 divisors (see below), whose sum is σ = 2401597440. Its totient is φ = 718612128.

The previous prime is 1349148013. The next prime is 1349148049. The reversal of 1349148015 is 5108419431.

It is not a de Polignac number, because 1349148015 - 21 = 1349148013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349148011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 105034 + ... + 117176.

It is an arithmetic number, because the mean of its divisors is an integer number (75049920).

Almost surely, 21349148015 is an apocalyptic number.

1349148015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1349148015 is a deficient number, since it is larger than the sum of its proper divisors (1052449425).

1349148015 is a wasteful number, since it uses less digits than its factorization.

1349148015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12980 (or 12974 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1349148015 is about 36730.7502645944. The cubic root of 1349148015 is about 1104.9769014370.

The spelling of 1349148015 in words is "one billion, three hundred forty-nine million, one hundred forty-eight thousand, fifteen".

Divisors: 1 3 5 9 15 27 45 135 823 2469 4115 7407 12143 12345 22221 36429 37035 60715 109287 111105 182145 327861 546435 1639305 9993689 29981067 49968445 89943201 149905335 269829603 449716005 1349148015