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13940222016 = 263780912821
BaseRepresentation
bin11001111101110011…
…01110100001000000
31022222111222122121010
430332321232201000
5212022144101031
610223135200520
71002310634460
oct147671564100
938874878533
1013940222016
115a0398a146
122850676140
13141210bca6
14963595ba0
15568c76246
hex33ee6e840

13940222016 has 112 divisors (see below), whose sum is σ = 42207972480. Its totient is φ = 3977687040.

The previous prime is 13940221973. The next prime is 13940222017. The reversal of 13940222016 is 61022204931.

13940222016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×139402220162 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13940222017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080886 + ... + 1093706.

Almost surely, 213940222016 is an apocalyptic number.

13940222016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13940222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21103986240).

13940222016 is an abundant number, since it is smaller than the sum of its proper divisors (28267750464).

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

13940222016 is a wasteful number, since it uses less digits than its factorization.

13940222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13652 (or 13642 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 13940222016 its reverse (61022204931), we get a palindrome (74962426947).

The spelling of 13940222016 in words is "thirteen billion, nine hundred forty million, two hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 809 1344 1618 2427 3236 4854 5663 6472 9708 11326 12821 12944 16989 19416 22652 25642 25888 33978 38463 38832 45304 51284 51776 67956 76926 77664 89747 90608 102568 135912 153852 155328 179494 181216 205136 269241 271824 307704 358988 362432 410272 538482 543648 615408 717976 820544 1076964 1087296 1230816 1435952 2153928 2461632 2871904 4307856 5743808 8615712 10372189 17231424 20744378 31116567 41488756 62233134 72605323 82977512 124466268 145210646 165955024 217815969 248932536 290421292 331910048 435631938 497865072 580842584 663820096 871263876 995730144 1161685168 1742527752 1991460288 2323370336 3485055504 4646740672 6970111008 13940222016