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20332242351414 = 23272342017166979
BaseRepresentation
bin1001001111101111110000…
…00101010011010100110110
32122222202001221001200122100
410213313320011103110312
510131110413020221124
6111124300404442530
74165645630302630
oct447677005232466
978882057050570
1020332242351414
116529945824154
1223446369a9446
13b46425c16c96
1450412b54ba50
15253d4ce541c9
hex127df8153536

20332242351414 has 96 divisors (see below), whose sum is σ = 52537048312320. Its totient is φ = 5556472137216.

The previous prime is 20332242351397. The next prime is 20332242351431. The reversal of 20332242351414 is 41415324223302.

20332242351414 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 2 + 2 + 4 + 235 + 1 + 414 = 666.

It is an interprime number because it is at equal distance from previous prime (20332242351397) and next prime (20332242351431).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121681777 + ... + 121848755.

It is an arithmetic number, because the mean of its divisors is an integer number (547260919920).

Almost surely, 220332242351414 is an apocalyptic number.

20332242351414 is an abundant number, since it is smaller than the sum of its proper divisors (32204805960906).

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

20332242351414 is a wasteful number, since it uses less digits than its factorization.

20332242351414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209034 (or 209031 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 20332242351414 its reverse (41415324223302), we get a palindrome (61747566574716).

The spelling of 20332242351414 in words is "twenty trillion, three hundred thirty-two billion, two hundred forty-two million, three hundred fifty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 42017 84034 126051 166979 252102 294119 333958 378153 500937 588238 756306 882357 966391 1001874 1168853 1502811 1764714 1932782 2337706 2647071 2899173 3005622 3506559 3840517 5294142 5798346 6764737 7013118 7681034 8697519 10519677 11521551 13529474 17395038 20294211 21039354 23043102 26883619 34564653 40588422 53767238 60882633 69129306 80650857 121765266 161301714 241952571 483905142 7015956643 14031913286 21047869929 42095739858 49111696501 63143609787 98223393002 126287219574 147335089503 161367002789 294670179006 322734005578 442005268509 484101008367 884010537018 968202016734 1129569019523 1452303025101 2259138039046 2904606050202 3388707058569 6777414117138 10166121175707 20332242351414