Search a number
-
+
2040203719449 = 327217240012
BaseRepresentation
bin11101101100000101100…
…111100011001100011001
321020001010022020102000100
4131230011213203030121
5231411314123010244
64201131234130013
7300254102324100
oct35540547431431
97201108212010
102040203719449
117172778a2305
1228b4a4120909
1311a50c8a3b8c
1470a6412b037
153810c805b69
hex1db059e3319

2040203719449 has 81 divisors (see below), whose sum is σ = 3642522526461. Its totient is φ = 1096978176000.

The previous prime is 2040203719427. The next prime is 2040203719459. The reversal of 2040203719449 is 9449173020402.

The square root of 2040203719449 is 1428357.

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

2040203719449 is a `hidden beast` number, since 20 + 402 + 0 + 37 + 194 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165035000025 + 1875168719424 = 406245^2 + 1369368^2 .

It is not a de Polignac number, because 2040203719449 - 213 = 2040203711257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2040203719409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 509921449 + ... + 509925449.

Almost surely, 22040203719449 is an apocalyptic number.

2040203719449 is the 1428357-th square number.

2040203719449 is the 714179-th centered octagonal number.

It is an amenable number.

2040203719449 is a deficient number, since it is larger than the sum of its proper divisors (1602318807012).

2040203719449 is an frugal number, since it uses more digits than its factorization.

2040203719449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2040203719449 in words is "two trillion, forty billion, two hundred three million, seven hundred nineteen thousand, four hundred forty-nine".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 289 357 441 833 867 1071 2023 2499 2601 4001 6069 7497 12003 14161 18207 28007 36009 42483 68017 84021 127449 196049 204051 252063 476119 588147 612153 1156289 1428357 1764441 3332833 3468867 4285071 8094023 9998499 10406601 16008001 24282069 29995497 48024003 56658161 72846207 112056007 144072009 169974483 272136017 336168021 509923449 784392049 816408051 1008504063 1904952119 2353176147 2449224153 4626312289 5714856357 7059528441 13334664833 13878936867 17144569071 32384186023 40003994499 41636810601 97152558069 120011983497 226689302161 291457674207 680067906483 2040203719449