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1444013333312 = 261119125314243
BaseRepresentation
bin10101000000110101111…
…001101101101101000000
312010001020202211210021212
4111000311321231231000
5142124314403131222
63023212013105252
7206216665546034
oct25006571555500
95101222753255
101444013333312
11507447977020
121b3a39188228
13a6229298974
144dc67bdc1c4
15278671526e2
hex15035e6db40

1444013333312 has 112 divisors (see below), whose sum is σ = 3144309387264. Its totient is φ = 652521408000.

The previous prime is 1444013333303. The next prime is 1444013333327. The reversal of 1444013333312 is 2133333104441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340326263 + ... + 340330505.

Almost surely, 21444013333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444013333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572154693632).

1444013333312 is an abundant number, since it is smaller than the sum of its proper divisors (1700296053952).

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

1444013333312 is a wasteful number, since it uses less digits than its factorization.

1444013333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6988 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 1444013333312 its reverse (2133333104441), we get a palindrome (3577346437753).

The spelling of 1444013333312 in words is "one trillion, four hundred forty-four billion, thirteen million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 191 352 382 704 764 1528 2101 2531 3056 4202 4243 5062 6112 8404 8486 10124 12224 16808 16972 20248 27841 33616 33944 40496 46673 55682 67232 67888 80992 93346 111364 134464 135776 161984 186692 222728 271552 373384 445456 483421 746768 810413 890912 966842 1493536 1620826 1781824 1933684 2987072 3241652 3867368 5317631 6483304 7734736 8914543 10635262 10739033 12966608 15469472 17829086 21270524 21478066 25933216 30938944 35658172 42541048 42956132 51866432 71316344 85082096 85912264 118129363 142632688 170164192 171824528 236258726 285265376 340328384 343649056 472517452 570530752 687298112 945034904 1890069808 2051155303 3780139616 4102310606 7560279232 8204621212 16409242424 22562708333 32818484848 45125416666 65636969696 90250833332 131273939392 180501666664 361003333328 722006666656 1444013333312