Search a number
-
+
1140311132320 = 25561116835157
BaseRepresentation
bin10000100101111111110…
…101110000100010100000
311001000100020120110112111
4100211333311300202200
5122140324122213240
62231503545005104
7145245654461443
oct20457765604240
94030306513474
101140311132320
113aa66a9a7388
12164bbba83794
13836b94556a9
143d29710565a
151e9de9451ea
hex1097fd708a0

1140311132320 has 48 divisors (see below), whose sum is σ = 2738148762888. Its totient is φ = 448646999040.

The previous prime is 1140311132297. The next prime is 1140311132377. The reversal of 1140311132320 is 232311130411.

It can be written as a sum of positive squares in 4 ways, for example, as 987026354064 + 153284778256 = 993492^2 + 391516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1140311132291 and 1140311132300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58407819 + ... + 58427338.

Almost surely, 21140311132320 is an apocalyptic number.

1140311132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140311132320 is an abundant number, since it is smaller than the sum of its proper divisors (1597837630568).

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

1140311132320 is a wasteful number, since it uses less digits than its factorization.

1140311132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116835233 (or 116835225 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1140311132320 its reverse (232311130411), we get a palindrome (1372622262731).

The spelling of 1140311132320 in words is "one trillion, one hundred forty billion, three hundred eleven million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 116835157 233670314 467340628 584175785 934681256 1168351570 1869362512 2336703140 3738725024 4673406280 7126944577 9346812560 14253889154 18693625120 28507778308 35634722885 57015556616 71269445770 114031113232 142538891540 228062226464 285077783080 570155566160 1140311132320