Search a number
-
+
5446332641240 = 235713037631453
BaseRepresentation
bin100111101000001001010…
…1110001110111111011000
3201021122221021201112120122
41033100102232032333120
51203213042124004430
615330002150012412
71101325125420641
oct117202256167730
921248837645518
105446332641240
11180a85a876aa7
1273b651947108
1330678273994a
1414b8651946c8
1596a11a44ee5
hex4f412b8efd8

5446332641240 has 64 divisors (see below), whose sum is σ = 12430954992960. Its totient is φ = 2147138864640.

The previous prime is 5446332641221. The next prime is 5446332641249. The reversal of 5446332641240 is 421462336445.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5446332641191 and 5446332641200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5446332641249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8309354 + ... + 8940806.

It is an arithmetic number, because the mean of its divisors is an integer number (194233671765).

Almost surely, 25446332641240 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 5446332641240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215477496480).

5446332641240 is an abundant number, since it is smaller than the sum of its proper divisors (6984622351720).

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

5446332641240 is a wasteful number, since it uses less digits than its factorization.

5446332641240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634572 (or 634568 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 44.

Adding to 5446332641240 its reverse (421462336445), we get a palindrome (5867794977685).

The spelling of 5446332641240 in words is "five trillion, four hundred forty-six billion, three hundred thirty-two million, six hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 3037 6074 12148 15185 24296 30370 60740 121480 215627 431254 631453 862508 1078135 1262906 1725016 2156270 2525812 3157265 4312540 5051624 6314530 8625080 12629060 25258120 44833163 89666326 179332652 224165815 358665304 448331630 896663260 1793326520 1917722761 3835445522 7670891044 9588613805 15341782088 19177227610 38354455220 76708910440 136158316031 272316632062 544633264124 680791580155 1089266528248 1361583160310 2723166320620 5446332641240