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14122011440 = 245199539749
BaseRepresentation
bin11010010011011110…
…01100101100110000
31100110012001111210202
431021233030230300
5212410213331230
610253151414332
71006646055005
oct151157145460
940405044722
1014122011440
115a97564239
1228a15243a8
13144098b4b4
1497d7978ac
15579bd4a45
hex349bccb30

14122011440 has 80 divisors (see below), whose sum is σ = 34601580000. Its totient is φ = 5345335296.

The previous prime is 14122011439. The next prime is 14122011451. The reversal of 14122011440 is 4411022141.

14122011440 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 (80).

It is a super-2 number, since 2×141220114402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 1443686 + ... + 1453434.

It is an arithmetic number, because the mean of its divisors is an integer number (432519750).

Almost surely, 214122011440 is an apocalyptic number.

14122011440 is a gapful number since it is divisible by the number (10) 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 14122011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17300790000).

14122011440 is an abundant number, since it is smaller than the sum of its proper divisors (20479568560).

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

14122011440 is a wasteful number, since it uses less digits than its factorization.

14122011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10734 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14122011440 its reverse (4411022141), we get a palindrome (18533033581).

The spelling of 14122011440 in words is "fourteen billion, one hundred twenty-two million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 953 1520 1906 3812 4765 7624 9530 9749 15248 18107 19060 19498 36214 38120 38996 48745 72428 76240 77992 90535 97490 144856 155984 181070 185231 194980 289712 362140 370462 389960 724280 740924 779920 926155 1448560 1481848 1852310 2963696 3704620 7409240 9290797 14818480 18581594 37163188 46453985 74326376 92907970 148652752 176525143 185815940 353050286 371631880 706100572 743263760 882625715 1412201144 1765251430 2824402288 3530502860 7061005720 14122011440