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13742124914 = 276744333071
BaseRepresentation
bin11001100110001100…
…00010111101110010
31022110201020021110102
430303012002331302
5211120440444124
610151341232402
7664354064060
oct146306027562
938421207412
1013742124914
115912086931
1227b6262702
1313b006cb7b
1494514b030
15556695aae
hex333182f72

13742124914 has 32 divisors (see below), whose sum is σ = 23964235776. Its totient is φ = 5788308240.

The previous prime is 13742124901. The next prime is 13742124919. The reversal of 13742124914 is 41942124731.

13742124914 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13742124919) 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 15 ways as a sum of consecutive naturals, for example, 398999 + ... + 432069.

It is an arithmetic number, because the mean of its divisors is an integer number (748882368).

Almost surely, 213742124914 is an apocalyptic number.

13742124914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13742124914 is a deficient number, since it is larger than the sum of its proper divisors (10222110862).

13742124914 is a wasteful number, since it uses less digits than its factorization.

13742124914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33590.

The product of its digits is 48384, while the sum is 38.

The spelling of 13742124914 in words is "thirteen billion, seven hundred forty-two million, one hundred twenty-four thousand, nine hundred fourteen".

Divisors: 1 2 7 14 67 134 443 469 886 938 3101 6202 29681 33071 59362 66142 207767 231497 415534 462994 2215757 4431514 14650453 15510299 29300906 31020598 102553171 205106342 981580351 1963160702 6871062457 13742124914