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11141553144 = 2331313543751
BaseRepresentation
bin10100110000001011…
…01001101111111000
31001202110210112122110
422120011221233320
5140304214200034
65041322052320
7543045432141
oct123005515770
931673715573
1011141553144
1147a8130867
1221ab34a0a0
1310873598c7
147799daac8
15453200de9
hex298169bf8

11141553144 has 32 divisors (see below), whose sum is σ = 28066515840. Its totient is φ = 3685500000.

The previous prime is 11141553139. The next prime is 11141553167. The reversal of 11141553144 is 44135514111.

11141553144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1768732 + ... + 1775019.

It is an arithmetic number, because the mean of its divisors is an integer number (877078620).

Almost surely, 211141553144 is an apocalyptic number.

It is an amenable number.

11141553144 is an abundant number, since it is smaller than the sum of its proper divisors (16924962696).

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

11141553144 is a wasteful number, since it uses less digits than its factorization.

11141553144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543891 (or 3543887 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The spelling of 11141553144 in words is "eleven billion, one hundred forty-one million, five hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 1048 1572 3144 3543751 7087502 10631253 14175004 21262506 28350008 42525012 85050024 464231381 928462762 1392694143 1856925524 2785388286 3713851048 5570776572 11141553144