Search a number
-
+
3314245410224 = 247472011313081
BaseRepresentation
bin110000001110101000011…
…010111001110110110000
3102201211122110110010022022
4300032220122321312300
5413300033311111344
611014313205131012
7461306043112610
oct60165032716660
912654573403268
103314245410224
11106862214a581
124563a60b9a68
131b06bba63c18
14b65a5d54a40
155b3278600ee
hex303a86b9db0

3314245410224 has 80 divisors (see below), whose sum is σ = 7498579393536. Its totient is φ = 1389474086400.

The previous prime is 3314245410211. The next prime is 3314245410227. The reversal of 3314245410224 is 4220145424133.

It is not an unprimeable number, because it can be changed into a prime (3314245410227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10429364 + ... + 10742444.

Almost surely, 23314245410224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314245410224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749289696768).

3314245410224 is an abundant number, since it is smaller than the sum of its proper divisors (4184333983312).

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

3314245410224 is a wasteful number, since it uses less digits than its factorization.

3314245410224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315154 (or 315148 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 3314245410224 in words is "three trillion, three hundred fourteen billion, two hundred forty-five million, four hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2011 2632 4022 5264 8044 14077 16088 28154 32176 56308 94517 112616 189034 225232 313081 378068 626162 661619 756136 1252324 1323238 1512272 2191567 2504648 2646476 4383134 5009296 5292952 8766268 10585904 14714807 17532536 29429614 35065072 58859228 103003649 117718456 206007298 235436912 412014596 629605891 824029192 1259211782 1648058384 2518423564 4407241237 5036847128 8814482474 10073694256 17628964948 29591476877 35257929896 59182953754 70515859792 118365907508 207140338139 236731815016 414280676278 473463630032 828561352556 1657122705112 3314245410224