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3444679914368 = 27711349500803
BaseRepresentation
bin110010001000000110111…
…011000011001110000000
3110012022022122222110120012
4302020012323003032000
5422414201024224433
611154244125204052
7503604244110110
oct62100673031600
913168278873505
103444679914368
111108976011040
12477728400628
131bcaa796b1a4
14bca1b007040
155e90d900848
hex32206ec3380

3444679914368 has 64 divisors (see below), whose sum is σ = 8555779681920. Its totient is φ = 1342083079680.

The previous prime is 3444679914353. The next prime is 3444679914407. The reversal of 3444679914368 is 8634199764443.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×34446799143683 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3444679914298 and 3444679914307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174740546 + ... + 174760257.

It is an arithmetic number, because the mean of its divisors is an integer number (133684057530).

Almost surely, 23444679914368 is an apocalyptic number.

It is an amenable number.

3444679914368 is an abundant number, since it is smaller than the sum of its proper divisors (5111099767552).

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

3444679914368 is a wasteful number, since it uses less digits than its factorization.

3444679914368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349500835 (or 349500823 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 68.

The spelling of 3444679914368 in words is "three trillion, four hundred forty-four billion, six hundred seventy-nine million, nine hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 349500803 699001606 1398003212 2446505621 2796006424 3844508833 4893011242 5592012848 7689017666 9786022484 11184025696 15378035332 19572044968 22368051392 26911561831 30756070664 39144089936 44736102784 53823123662 61512141328 78288179872 107646247324 123024282656 156576359744 215292494648 246048565312 313152719488 430584989296 492097130624 861169978592 1722339957184 3444679914368