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11141244016 = 2471926919463
BaseRepresentation
bin10100110000001000…
…11110010001110000
31001202110012211121021
422120010132101300
5140304124302031
65041311305224
7543043003660
oct123004362160
931673184537
1011141244016
1147a7a3a591
1221ab21b214
13108727bca6
1477995a1a0
1545318e511
hex29811e470

11141244016 has 80 divisors (see below), whose sum is σ = 26066188800. Its totient is φ = 4506465024.

The previous prime is 11141244007. The next prime is 11141244017. The reversal of 11141244016 is 61044214111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141244017) by changing a digit.

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, 562701 + ... + 582163.

It is an arithmetic number, because the mean of its divisors is an integer number (325827360).

Almost surely, 211141244016 is an apocalyptic number.

11141244016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11141244016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033094400).

11141244016 is an abundant number, since it is smaller than the sum of its proper divisors (14924944784).

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

11141244016 is a wasteful number, since it uses less digits than its factorization.

11141244016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19766 (or 19760 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 11141244016 its reverse (61044214111), we get a palindrome (72185458127).

The spelling of 11141244016 in words is "eleven billion, one hundred forty-one million, two hundred forty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 269 304 532 538 1064 1076 1883 2128 2152 3766 4304 5111 7532 10222 15064 19463 20444 30128 35777 38926 40888 71554 77852 81776 136241 143108 155704 272482 286216 311408 369797 544964 572432 739594 1089928 1479188 2179856 2588579 2958376 5177158 5235547 5916752 10354316 10471094 20708632 20942188 36648829 41417264 41884376 73297658 83768752 99475393 146595316 198950786 293190632 397901572 586381264 696327751 795803144 1392655502 1591606288 2785311004 5570622008 11141244016