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11141858024 = 2311895932399
BaseRepresentation
bin10100110000001101…
…10100001011101000
31001202111101000212022
422120012310023220
5140304303424044
65041332404012
7543051142043
oct123006641350
931674330768
1011141858024
1147a8319930
1221ab476608
1310874355cb
14779a79c5a
154532613ee
hex2981b42e8

11141858024 has 64 divisors (see below), whose sum is σ = 23094720000. Its totient is φ = 4997048320.

The previous prime is 11141857997. The next prime is 11141858027. The reversal of 11141858024 is 42085814111.

It is a happy number.

It is a Cunningham number, because it is equal to 1055552-1.

It is not an unprimeable number, because it can be changed into a prime (11141858027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4643177 + ... + 4645575.

It is an arithmetic number, because the mean of its divisors is an integer number (360855000).

Almost surely, 211141858024 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 11141858024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11547360000).

11141858024 is an abundant number, since it is smaller than the sum of its proper divisors (11952861976).

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

11141858024 is a wasteful number, since it uses less digits than its factorization.

11141858024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 35.

The spelling of 11141858024 in words is "eleven billion, one hundred forty-one million, eight hundred fifty-eight thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 593 712 979 1186 1958 2372 2399 3916 4744 4798 6523 7832 9596 13046 19192 26092 26389 52184 52777 52778 105554 105556 211108 211112 213511 422216 427022 580547 854044 1161094 1422607 1708088 2322188 2348621 2845214 4644376 4697242 5690428 9394484 11380856 15648677 18788968 31297354 62594708 125189416 126612023 253224046 506448092 1012896184 1392732253 2785464506 5570929012 11141858024