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1129718145924 = 22324
BaseRepresentation
bin10000011100001000011…
…100101110001110000100
311000000000000000000000000
4100130020130232032010
5122002130321132144
62222552500321300
7144422316541254
oct20341034561604
94000000000000
101129718145924
113a6124494975
12162b443a3230
13826bb956ac4
143c970303964
151e5be9a2769
hex1070872e384

1129718145924 has 75 divisors (see below), whose sum is σ = 2965510133047. Its totient is φ = 376572715308.

The previous prime is 1129718145893. The next prime is 1129718145929. The reversal of 1129718145924 is 4295418179211.

The square root of 1129718145924 is 1062882.

It is a perfect power (a square), and thus also a powerful number.

1129718145924 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 7 + 181 + 459 + 2 + 4 = 666.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=729.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

Its product of digits (1451520) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1129718145929) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 376572715307 + 376572715308 + 376572715309.

Almost surely, 21129718145924 is an apocalyptic number.

1129718145924 is the 1062882-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129718145924

1129718145924 is an abundant number, since it is smaller than the sum of its proper divisors (1835791987123).

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

1129718145924 is an frugal number, since it uses more digits than its factorization.

1129718145924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 5 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

Multiplying 1129718145924 by its sum of digits (54), we get a cube (61004779879896 = 393663).

The spelling of 1129718145924 in words is "one trillion, one hundred twenty-nine billion, seven hundred eighteen million, one hundred forty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 19683 26244 39366 59049 78732 118098 177147 236196 354294 531441 708588 1062882 1594323 2125764 3188646 4782969 6377292 9565938 14348907 19131876 28697814 43046721 57395628 86093442 129140163 172186884 258280326 387420489 516560652 774840978 1162261467 1549681956 2324522934 3486784401 4649045868 6973568802 10460353203 13947137604 20920706406 31381059609 41841412812 62762119218 94143178827 125524238436 188286357654 282429536481 376572715308 564859072962 1129718145924