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14495351445 = 3252913781077
BaseRepresentation
bin11010111111111110…
…11000001010010101
31101102012120011000100
431133333120022111
5214141302221240
610354205404313
71022131311561
oct153777301225
941365504010
1014495351445
1161692800a3
122986569699
1314a0127143
149b71bc6a1
1559c87de30
hex35ffd8295

14495351445 has 48 divisors (see below), whose sum is σ = 26181707760. Its totient is φ = 7409697792.

The previous prime is 14495351407. The next prime is 14495351459. The reversal of 14495351445 is 54415359441.

14495351445 is a `hidden beast` number, since 1 + 4 + 4 + 95 + 3 + 514 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 663474564 + 13831876881 = 25758^2 + 117609^2 .

It is not a de Polignac number, because 14495351445 - 214 = 14495335061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14495351445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138247 + ... + 219323.

It is an arithmetic number, because the mean of its divisors is an integer number (545452245).

Almost surely, 214495351445 is an apocalyptic number.

14495351445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14495351445 is a deficient number, since it is larger than the sum of its proper divisors (11686356315).

14495351445 is a wasteful number, since it uses less digits than its factorization.

14495351445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81254 (or 81251 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

It can be divided in two parts, 14495 and 351445, that added together give a triangular number (365940 = T855).

The spelling of 14495351445 in words is "fourteen billion, four hundred ninety-five million, three hundred fifty-one thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 137 145 261 411 435 685 1233 1305 2055 3973 6165 11919 19865 35757 59595 81077 178785 243231 405385 729693 1216155 2351233 3648465 7053699 11107549 11756165 21161097 33322647 35268495 55537745 99967941 105805485 166613235 322118921 499839705 966356763 1610594605 2899070289 4831783815 14495351445