Search a number
-
+
3001441346340 = 2235291724966291
BaseRepresentation
bin101011101011010011110…
…110000110001100100100
3101121221020121102020220220
4223223103312012030210
5343133422441040330
610214502040324340
7426563341333023
oct53532366061444
911557217366826
103001441346340
11a579a44355a8
124058487736b0
1318a05b326c68
14a53b04cc8ba
155311b054710
hex2bad3d86324

3001441346340 has 48 divisors (see below), whose sum is σ = 8693830111680. Its totient is φ = 772784897920.

The previous prime is 3001441346339. The next prime is 3001441346341. The reversal of 3001441346340 is 436431441003.

It is a happy number.

3001441346340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3001441346339) and next prime (3001441346341).

It is not an unprimeable number, because it can be changed into a prime (3001441346341) 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, 862481406 + ... + 862484885.

It is an arithmetic number, because the mean of its divisors is an integer number (181121460660).

Almost surely, 23001441346340 is an apocalyptic number.

3001441346340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001441346340 is an abundant number, since it is smaller than the sum of its proper divisors (5692388765340).

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

3001441346340 is a wasteful number, since it uses less digits than its factorization.

3001441346340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724966332 (or 1724966330 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 3001441346340 its reverse (436431441003), we get a palindrome (3437872787343).

The spelling of 3001441346340 in words is "three trillion, one billion, four hundred forty-one million, three hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 1724966291 3449932582 5174898873 6899865164 8624831455 10349797746 17249662910 20699595492 25874494365 34499325820 50024022439 51748988730 100048044878 103497977460 150072067317 200096089756 250120112195 300144134634 500240224390 600288269268 750360336585 1000480448780 1500720673170 3001441346340