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14444144023232 = 2671117316942403
BaseRepresentation
bin1101001000110000101000…
…0100101101011011000000
31220010211212020021001102202
43102030022010231123000
53343123101332220412
650415314222532332
73020361232303550
oct322141204553300
956124766231382
1014444144023232
1146697aa81a010
1217534567370a8
1380a1000518a1
1437d159323160
151a0ad30023c2
hexd230a12d6c0

14444144023232 has 112 divisors (see below), whose sum is σ = 35941751384832. Its totient is φ = 5595058836480.

The previous prime is 14444144023207. The next prime is 14444144023237. The reversal of 14444144023232 is 23232044144441.

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

It is not an unprimeable number, because it can be changed into a prime (14444144023237) 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, 7618658 + ... + 9323745.

Almost surely, 214444144023232 is an apocalyptic number.

It is an amenable number.

14444144023232 is an abundant number, since it is smaller than the sum of its proper divisors (21497607361600).

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

14444144023232 is a wasteful number, since it uses less digits than its factorization.

14444144023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16942606 (or 16942596 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 14444144023232 its reverse (23232044144441), we get a palindrome (37676188167673).

The spelling of 14444144023232 in words is "fourteen trillion, four hundred forty-four billion, one hundred forty-four million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 173 176 224 308 346 352 448 616 692 704 1211 1232 1384 1903 2422 2464 2768 3806 4844 4928 5536 7612 9688 11072 13321 15224 19376 26642 30448 38752 53284 60896 77504 106568 121792 213136 426272 852544 16942403 33884806 67769612 118596821 135539224 186366433 237193642 271078448 372732866 474387284 542156896 745465732 948774568 1084313792 1304565031 1490931464 1897549136 2609130062 2931035719 2981862928 3795098272 5218260124 5862071438 5963725856 7590196544 10436520248 11724142876 11927451712 20517250033 20873040496 23448285752 32241392909 41034500066 41746080992 46896571504 64482785818 82069000132 83492161984 93793143008 128965571636 164138000264 187586286016 225689750363 257931143272 328276000528 451379500726 515862286544 656552001056 902759001452 1031724573088 1313104002112 1805518002904 2063449146176 3611036005808 7222072011616 14444144023232