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11041152144 = 2431154138653
BaseRepresentation
bin10100100100001101…
…01001110010010000
31001111110212122100220
422102012221302100
5140103013332034
65023334113040
7540416146641
oct122206516220
931443778326
1011041152144
114756496030
1221817ab780
13106c605729
1476a5436c8
154494bc749
hex2921a9c90

11041152144 has 80 divisors (see below), whose sum is σ = 31174296384. Its totient is φ = 3339532800.

The previous prime is 11041152137. The next prime is 11041152181. The reversal of 11041152144 is 44125114011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266322 + ... + 304974.

Almost surely, 211041152144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11041152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587148192).

11041152144 is an abundant number, since it is smaller than the sum of its proper divisors (20133144240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11041152144 is a wasteful number, since it uses less digits than its factorization.

11041152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39216 (or 39210 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 11041152144 its reverse (44125114011), we get a palindrome (55166266155).

The spelling of 11041152144 in words is "eleven billion, forty-one million, one hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 541 1082 1623 2164 3246 4328 5951 6492 8656 11902 12984 17853 23804 25968 35706 38653 47608 71412 77306 95216 115959 142824 154612 231918 285648 309224 425183 463836 618448 850366 927672 1275549 1700732 1855344 2551098 3401464 5102196 6802928 10204392 20408784 20911273 41822546 62733819 83645092 125467638 167290184 230024003 250935276 334580368 460048006 501870552 690072009 920096012 1003741104 1380144018 1840192024 2760288036 3680384048 5520576072 11041152144