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12440502369 = 316172
BaseRepresentation
bin10111001011000001…
…10000000001100001
31012010000000000000000
423211200300001201
5200434232033434
65414243050213
7620200345131
oct134540600141
935100000000
1012440502369
115304380619
1224b2370969
1312334b7509
14860326ac1
154cc284b99
hex2e5830061

12440502369 has 51 divisors (see below), whose sum is σ = 19823014867. Its totient is φ = 7805805408.

The previous prime is 12440502343. The next prime is 12440502401. The reversal of 12440502369 is 96320504421.

It is a happy number.

The square root of 12440502369 is 111537.

It is a perfect power (a square), and thus also a powerful number.

12440502369 is a `hidden beast` number, since 1 + 244 + 0 + 50 + 2 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9685512225 + 2754990144 = 98415^2 + 52488^2 .

It is a tau number, because it is divible by the number of its divisors (51).

It is not a de Polignac number, because 12440502369 - 27 = 12440502241 is a prime.

It is a super-2 number, since 2×124405023692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12440502469) by changing a digit.

It is a polite number, since it can be written in 50 ways as a sum of consecutive naturals, for example, 731794249 + ... + 731794265.

Almost surely, 212440502369 is an apocalyptic number.

12440502369 is the 111537-th square number.

12440502369 is the 55769-th centered octagonal number.

It is an amenable number.

12440502369 is a deficient number, since it is larger than the sum of its proper divisors (7382512498).

12440502369 is an frugal number, since it uses more digits than its factorization.

12440502369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 12440502369 by its sum of digits (36), we get a square (447858085284 = 6692222).

The spelling of 12440502369 in words is "twelve billion, four hundred forty million, five hundred two thousand, three hundred sixty-nine".

Divisors: 1 3 9 17 27 51 81 153 243 289 459 729 867 1377 2187 2601 4131 6561 7803 12393 19683 23409 37179 59049 70227 111537 177147 210681 334611 531441 632043 1003833 1594323 1896129 3011499 4782969 5688387 9034497 14348907 17065161 27103491 43046721 51195483 81310473 153586449 243931419 460759347 731794257 1382278041 4146834123 12440502369