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3241034414130 = 235317160181671
BaseRepresentation
bin101111001010011100101…
…101000111100000110010
3102110211200021001011212110
4233022130231013200302
5411100114302223010
610520524411310150
7453104565654402
oct57123455074062
912424607034773
103241034414130
11103a573484627
12444173a4b356
131a68222ca9a6
14b2c1cad0802
15594903cd120
hex2f29cb47832

3241034414130 has 128 divisors (see below), whose sum is σ = 8156139651072. Its totient is φ = 823233600000.

The previous prime is 3241034414087. The next prime is 3241034414131. The reversal of 3241034414130 is 314144301423.

3241034414130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3241034414131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39643195 + ... + 39724865.

It is an arithmetic number, because the mean of its divisors is an integer number (63719841024).

Almost surely, 23241034414130 is an apocalyptic number.

3241034414130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3241034414130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078069825536).

3241034414130 is an abundant number, since it is smaller than the sum of its proper divisors (4915105236942).

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

3241034414130 is a wasteful number, since it uses less digits than its factorization.

3241034414130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82384.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 3241034414130 its reverse (314144301423), we get a palindrome (3555178715553).

The spelling of 3241034414130 in words is "three trillion, two hundred forty-one billion, thirty-four million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 71 93 142 155 186 213 310 355 426 465 601 710 930 1065 1202 1803 2130 2201 3005 3606 4402 6010 6603 9015 11005 13206 18030 18631 22010 33015 37262 42671 55893 66030 81671 85342 93155 111786 128013 163342 186310 213355 245013 256026 279465 408355 426710 490026 558930 640065 816710 1225065 1280130 1322801 2450130 2531801 2645602 3968403 5063602 5798641 6614005 7595403 7936806 11597282 12659005 13228010 15190806 17395923 19842015 25318010 28993205 34791846 37977015 39684030 49084271 57986410 75954030 86979615 98168542 147252813 173959230 179757871 245421355 294505626 359515742 490842710 539273613 736264065 898789355 1078547226 1472528130 1521612401 1797578710 2696368065 3043224802 3484983241 4564837203 5392736130 6969966482 7608062005 9129674406 10454949723 15216124010 17424916205 20909899446 22824186015 34849832410 45648372030 52274748615 104549497230 108034480471 216068960942 324103441413 540172402355 648206882826 1080344804710 1620517207065 3241034414130