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114284766609 = 321329151223063
BaseRepresentation
bin110101001101111100…
…1110010010110010001
3101220222200221200011200
41222123321302112101
53333023400012414
6124300211101413
711154040326246
oct1523371622621
9356880850150
10114284766609
1144516853742
121a1958a1869
13aa14114770
1457622a35cd
152e8d36d109
hex1a9be72591

114284766609 has 48 divisors (see below), whose sum is σ = 185125274880. Its totient is φ = 67453948800.

The previous prime is 114284766599. The next prime is 114284766611. The reversal of 114284766609 is 906667482411.

It is not a de Polignac number, because 114284766609 - 25 = 114284766577 is a prime.

It is a super-3 number, since 3×1142847666093 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (114284766619) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400812 + ... + 623874.

It is an arithmetic number, because the mean of its divisors is an integer number (3856776560).

Almost surely, 2114284766609 is an apocalyptic number.

It is an amenable number.

114284766609 is a deficient number, since it is larger than the sum of its proper divisors (70840508271).

114284766609 is a wasteful number, since it uses less digits than its factorization.

114284766609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223262 (or 223259 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 114284766609 in words is "one hundred fourteen billion, two hundred eighty-four million, seven hundred sixty-six thousand, six hundred nine".

Divisors: 1 3 9 13 29 39 87 117 151 261 377 453 1131 1359 1963 3393 4379 5889 13137 17667 39411 56927 170781 223063 512343 669189 2007567 2899819 6468827 8699457 19406481 26098371 33682513 58219443 84094751 101047539 252284253 303142617 437872669 756852759 976792877 1313618007 2930378631 3940854021 8791135893 12698307401 38094922203 114284766609