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11144233665153 = 3243103493756629
BaseRepresentation
bin1010001000101011100000…
…0101101100001010000001
31110110101012210202000211200
42202022320011230022001
52430041342304241103
635411331255331413
72230100333125611
oct242127005541201
943411183660750
1011144233665153
113607274413376
1212bb9b1380b69
1362ab8714b054
142a7553180a41
15144d48e0a0a3
hexa22b816c281

11144233665153 has 48 divisors (see below), whose sum is σ = 16635161262720. Its totient is φ = 7184674328832.

The previous prime is 11144233665151. The next prime is 11144233665161. The reversal of 11144233665153 is 35156633244111.

11144233665153 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 42 + 33 + 66 + 515 + 3 = 666.

It is not a de Polignac number, because 11144233665153 - 21 = 11144233665151 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11144233665099 and 11144233665108.

It is not an unprimeable number, because it can be changed into a prime (11144233665151) 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, 196765443 + ... + 196822071.

It is an arithmetic number, because the mean of its divisors is an integer number (346565859640).

Almost surely, 211144233665153 is an apocalyptic number.

It is an amenable number.

11144233665153 is a deficient number, since it is larger than the sum of its proper divisors (5490927597567).

11144233665153 is a wasteful number, since it uses less digits than its factorization.

11144233665153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61718 (or 61715 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 11144233665153 in words is "eleven trillion, one hundred forty-four billion, two hundred thirty-three million, six hundred sixty-five thousand, one hundred fifty-three".

Divisors: 1 3 9 43 103 129 309 387 927 4429 4937 13287 14811 39861 44433 56629 169887 212291 508511 509661 636873 1525533 1910619 2435047 4576599 5832787 7305141 17498361 21865973 21915423 52495083 65597919 196793757 250809841 279577373 752429523 838732119 2257288569 2516196357 12021827039 28796469419 36065481117 86389408257 108196443351 259168224771 1238248185017 3714744555051 11144233665153