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14145614505 = 3251122597909
BaseRepresentation
bin11010010110010010…
…01111001010101001
31100111211110200010100
431023021033022221
5212432234131010
610255353340013
71010353511421
oct151311171251
940454420110
1014145614505
115aa9915600
1228a9407609
1314458338c9
1498297d481
1557bce82c0
hex34b24f2a9

14145614505 has 36 divisors (see below), whose sum is σ = 26950718340. Its totient is φ = 6858477120.

The previous prime is 14145614449. The next prime is 14145614531. The reversal of 14145614505 is 50541654141.

14145614505 is a `hidden beast` number, since 1 + 4 + 145 + 6 + 1 + 4 + 505 = 666.

14145614505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5194373184 + 8951241321 = 72072^2 + 94611^2 .

It is not a de Polignac number, because 14145614505 - 210 = 14145613481 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 14145614505.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1293510 + ... + 1304399.

It is an arithmetic number, because the mean of its divisors is an integer number (748631065).

Almost surely, 214145614505 is an apocalyptic number.

14145614505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14145614505 is a deficient number, since it is larger than the sum of its proper divisors (12805103835).

14145614505 is a wasteful number, since it uses less digits than its factorization.

14145614505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597942 (or 2597928 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

It can be divided in two parts, 141456 and 14505, that added together give a triangular number (155961 = T558).

The spelling of 14145614505 in words is "fourteen billion, one hundred forty-five million, six hundred fourteen thousand, five hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 2597909 7793727 12989545 23381181 28576999 38968635 85730997 116905905 142884995 257192991 314346989 428654985 943040967 1285964955 1571734945 2829122901 4715204835 14145614505