Search a number
-
+
11144322156 = 22311216745959
BaseRepresentation
bin10100110000100000…
…01101110001101100
31001202200000020000110
422120100031301230
5140310421302111
65041501300020
7543111114102
oct123020156154
931680006013
1011144322156
1147a9752200
1221b0264610
131087ab9086
1477a11bc72
1545359b5a6
hex29840dc6c

11144322156 has 72 divisors (see below), whose sum is σ = 28754046720. Its totient is φ = 3356772320.

The previous prime is 11144322121. The next prime is 11144322173. The reversal of 11144322156 is 65122344111.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219505 + ... + 265463.

It is an arithmetic number, because the mean of its divisors is an integer number (399361760).

Almost surely, 211144322156 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 11144322156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377023360).

11144322156 is an abundant number, since it is smaller than the sum of its proper divisors (17609724564).

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

11144322156 is a wasteful number, since it uses less digits than its factorization.

11144322156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46155 (or 46142 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

Adding to 11144322156 its reverse (65122344111), we get a palindrome (76266666267).

It can be divided in two parts, 1114 and 4322156, that added together give a triangular number (4323270 = T2940).

The spelling of 11144322156 in words is "eleven billion, one hundred forty-four million, three hundred twenty-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 167 242 334 363 484 501 668 726 1002 1452 1837 2004 3674 5511 7348 11022 20207 22044 40414 45959 60621 80828 91918 121242 137877 183836 242484 275754 505549 551508 1011098 1516647 2022196 3033294 5561039 6066588 7675153 11122078 15350306 16683117 22244156 23025459 30700612 33366234 46050918 66732468 84426683 92101836 168853366 253280049 337706732 506560098 928693513 1013120196 1857387026 2786080539 3714774052 5572161078 11144322156