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14242033221024 = 253728374888699
BaseRepresentation
bin1100111100111111101101…
…0101001011110110100000
31212102112011210010111122210
43033033323111023312200
53331320141001033044
650142411051002120
72666644600652340
oct317177325136640
955375153114583
1014242033221024
1145a1015511984
121720250139340
137c4030631b2b
14373464b82d20
1519a7045d01b9
hexcf3fb54bda0

14242033221024 has 96 divisors (see below), whose sum is σ = 42877075852800. Its totient is φ = 4054773664512.

The previous prime is 14242033220869. The next prime is 14242033221103. The reversal of 14242033221024 is 42012233024241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14242033220982 and 14242033221000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37254174 + ... + 37634525.

It is an arithmetic number, because the mean of its divisors is an integer number (446636206800).

Almost surely, 214242033221024 is an apocalyptic number.

14242033221024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14242033221024 is an abundant number, since it is smaller than the sum of its proper divisors (28635042631776).

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

14242033221024 is a wasteful number, since it uses less digits than its factorization.

14242033221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74889002 (or 74888994 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14242033221024 its reverse (42012233024241), we get a palindrome (56254266245265).

The spelling of 14242033221024 in words is "fourteen trillion, two hundred forty-two billion, thirty-three million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 283 336 566 672 849 1132 1698 1981 2264 3396 3962 4528 5943 6792 7924 9056 11886 13584 15848 23772 27168 31696 47544 63392 95088 190176 74888699 149777398 224666097 299554796 449332194 524220893 599109592 898664388 1048441786 1198219184 1572662679 1797328776 2096883572 2396438368 3145325358 3594657552 4193767144 6290650716 7189315104 8387534288 12581301432 16775068576 21193501817 25162602864 42387003634 50325205728 63580505451 84774007268 127161010902 148354512719 169548014536 254322021804 296709025438 339096029072 445063538157 508644043608 593418050876 678192058144 890127076314 1017288087216 1186836101752 1780254152628 2034576174432 2373672203504 3560508305256 4747344407008 7121016610512 14242033221024