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3423243130340 = 22511247101297991
BaseRepresentation
bin110001110100001001001…
…100001101010111100100
3110010020222200220000011012
4301310021030031113210
5422041300220132330
611140341032401352
7502215104335355
oct61641114152744
913106880800135
103423243130340
1110aa875559a00
12473545246258
131baa6c705cb7
14bb985d95d2c
155e0a6975c95
hex31d0930d5e4

3423243130340 has 144 divisors (see below), whose sum is σ = 8149799895552. Its totient is φ = 1206263520000.

The previous prime is 3423243130313. The next prime is 3423243130361. The reversal of 3423243130340 is 430313423243.

It is a junction number, because it is equal to n+sod(n) for n = 3423243130297 and 3423243130306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11338745 + ... + 11636735.

It is an arithmetic number, because the mean of its divisors is an integer number (56595832608).

Almost surely, 23423243130340 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 3423243130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074899947776).

3423243130340 is an abundant number, since it is smaller than the sum of its proper divisors (4726556765212).

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

3423243130340 is a wasteful number, since it uses less digits than its factorization.

3423243130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298170 (or 298157 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 3423243130340 its reverse (430313423243), we get a palindrome (3853556553583).

The spelling of 3423243130340 in words is "three trillion, four hundred twenty-three billion, two hundred forty-three million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 101 110 121 188 202 220 235 242 404 470 484 505 517 605 940 1010 1034 1111 1210 2020 2068 2222 2420 2585 4444 4747 5170 5555 5687 9494 10340 11110 11374 12221 18988 22220 22748 23735 24442 28435 47470 48884 52217 56870 61105 94940 104434 113740 122210 208868 244420 261085 297991 522170 574387 595982 1044340 1148774 1191964 1489955 2297548 2871935 2979910 3277901 5743870 5959820 6555802 11487740 13111604 14005577 16389505 28011154 30097091 32779010 36056911 56022308 60194182 65558020 70027885 72113822 120388364 140055770 144227644 150485455 154061347 180284555 280111540 300970910 308122694 331068001 360569110 601941820 616245388 662136002 721138220 770306735 1324272004 1414563277 1540613470 1655340005 1694674817 2829126554 3081226940 3310680010 3389349634 3641748011 5658253108 6621360020 6778699268 7072816385 7283496022 8473374085 14145632770 14566992044 15560196047 16946748170 18208740055 28291265540 31120392094 33893496340 36417480110 62240784188 72834960220 77800980235 155601960470 171162156517 311203920940 342324313034 684648626068 855810782585 1711621565170 3423243130340