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42361211216324 = 227111359317841017
BaseRepresentation
bin10011010000110111111001…
…11100100110000111000100
312112222200200122101212012202
421220123330330212013010
521023021230032410244
6230032245523134032
711631332206163660
oct1150337474460704
9175880618355182
1042361211216324
111255231a416a40
124901a77b14318
131a83850308460
14a6641776d8a0
154d6da411004e
hex2686fcf261c4

42361211216324 has 96 divisors (see below), whose sum is σ = 99701888622336. Its totient is φ = 15209109319680.

The previous prime is 42361211216309. The next prime is 42361211216339.

42361211216324 is nontrivially palindromic in base 10.

42361211216324 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 (42361211216309) and next prime (42361211216339).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6546137 + ... + 11294880.

It is an arithmetic number, because the mean of its divisors is an integer number (1038561339816).

Almost surely, 242361211216324 is an apocalyptic number.

42361211216324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42361211216324 is an abundant number, since it is smaller than the sum of its proper divisors (57340677406012).

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

42361211216324 is a wasteful number, since it uses less digits than its factorization.

42361211216324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17841645 (or 17841643 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The spelling of 42361211216324 in words is "forty-two trillion, three hundred sixty-one billion, two hundred eleven million, two hundred sixteen thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 593 1001 1186 2002 2372 4004 4151 6523 7709 8302 13046 15418 16604 26092 30836 45661 53963 84799 91322 107926 169598 182644 215852 339196 593593 1187186 2374372 17841017 35682034 71364068 124887119 196251187 231933221 249774238 392502374 463866442 499548476 785004748 927732884 1373758309 1623532547 2551265431 2747516618 3247065094 5102530862 5495033236 6494130188 10205061724 10579723081 17858858017 21159446162 35717716034 42318892324 71435432068 74058061567 116376953891 137536400053 148116123134 232753907782 275072800106 296232246268 465507815564 550145600212 814638677237 962754800371 1512900400583 1629277354474 1925509600742 3025800801166 3258554708948 3851019201484 6051601602332 10590302804081 21180605608162 42361211216324