Search a number
-
+
3231006250000 = 24587192
BaseRepresentation
bin101111000001000110111…
…110101101010000010000
3102102212210101021122211011
4233001012332231100100
5410414100100000000
610512145341100304
7452301226661314
oct57010676552020
912385711248734
103231006250000
111036297883481
12442235557694
131a58b482c069
14b254ad19b44
15590a4d0a2ba
hex2f046fad410

3231006250000 has 135 divisors (see below), whose sum is σ = 7835987687191. Its totient is φ = 1290605000000.

The previous prime is 3231006249973. The next prime is 3231006250033. The reversal of 3231006250000 is 526001323.

The square root of 3231006250000 is 1797500.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2297200985104 + 933805264896 = 1515652^2 + 966336^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 4493749641 + ... + 4493750359.

Almost surely, 23231006250000 is an apocalyptic number.

3231006250000 is the 1797500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3231006250000

3231006250000 is an abundant number, since it is smaller than the sum of its proper divisors (4604981437191).

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

3231006250000 is an frugal number, since it uses more digits than its factorization.

3231006250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 3231006250000 in words is "three trillion, two hundred thirty-one billion, six million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 719 1000 1250 1438 2000 2500 2876 3125 3595 5000 5752 6250 7190 10000 11504 12500 14380 15625 17975 25000 28760 31250 35950 50000 57520 62500 71900 78125 89875 125000 143800 156250 179750 250000 287600 312500 359500 390625 449375 516961 625000 719000 781250 898750 1033922 1250000 1438000 1562500 1797500 2067844 2246875 2584805 3125000 3595000 4135688 4493750 5169610 6250000 7190000 8271376 8987500 10339220 11234375 12924025 17975000 20678440 22468750 25848050 35950000 41356880 44937500 51696100 56171875 64620125 89875000 103392200 112343750 129240250 179750000 206784400 224687500 258480500 280859375 323100625 449375000 516961000 561718750 646201250 898750000 1033922000 1123437500 1292402500 1615503125 2246875000 2584805000 3231006250 4493750000 5169610000 6462012500 8077515625 12924025000 16155031250 25848050000 32310062500 40387578125 64620125000 80775156250 129240250000 161550312500 201937890625 323100625000 403875781250 646201250000 807751562500 1615503125000 3231006250000