Search a number
-
+
1134110024000 = 2653141763753
BaseRepresentation
bin10000100000001110001…
…110011010000101000000
311000102100002002112002222
4100200032032122011000
5122040124131232000
62225000345430212
7144636206101442
oct20401616320500
94012302075088
101134110024000
113a7a785a6978
1216396b19b368
1382c3b805025
143cc69706492
151e77a334a85
hex1080e39a140

1134110024000 has 56 divisors (see below), whose sum is σ = 2808623494248. Its totient is φ = 453644006400.

The previous prime is 1134110023987. The next prime is 1134110024029. The reversal of 1134110024000 is 4200114311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9390385216 + 1124719638784 = 96904^2 + 1060528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1134110024000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70873877 + ... + 70889876.

Almost surely, 21134110024000 is an apocalyptic number.

1134110024000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134110024000 is an abundant number, since it is smaller than the sum of its proper divisors (1674513470248).

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

1134110024000 is an equidigital number, since it uses as much as digits as its factorization.

1134110024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141763780 (or 141763760 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1134110024000 its reverse (4200114311), we get a palindrome (1138310138311).

The spelling of 1134110024000 in words is "one trillion, one hundred thirty-four billion, one hundred ten million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 141763753 283527506 567055012 708818765 1134110024 1417637530 2268220048 2835275060 3544093825 4536440096 5670550120 7088187650 9072880192 11341100240 14176375300 17720469125 22682200480 28352750600 35440938250 45364400960 56705501200 70881876500 113411002400 141763753000 226822004800 283527506000 567055012000 1134110024000