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16044488444061 = 33711291931378847
BaseRepresentation
bin1110100101111010011000…
…0010001100100010011101
32002210211121222121220222000
43221132212002030202131
54100333103020202221
654042423005512513
73244114244400150
oct351364602144235
962724558556860
1016044488444061
11512647a4a1a10
121971642872739
138c4cb142951c
143d67b3667c97
151cc54996be26
hexe97a608c89d

16044488444061 has 128 divisors (see below), whose sum is σ = 30815598182400. Its totient is φ = 8005690183680.

The previous prime is 16044488444041. The next prime is 16044488444071.

16044488444061 is a `hidden beast` number, since 1 + 60 + 4 + 4 + 4 + 8 + 84 + 440 + 61 = 666.

16044488444061 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16044488444061 - 210 = 16044488443037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16044488443989 and 16044488444007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16044488444041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10946740 + ... + 12325586.

It is an arithmetic number, because the mean of its divisors is an integer number (240746860800).

Almost surely, 216044488444061 is an apocalyptic number.

16044488444061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16044488444061 is a deficient number, since it is larger than the sum of its proper divisors (14771109738339).

16044488444061 is a wasteful number, since it uses less digits than its factorization.

16044488444061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379096 (or 1379090 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 16044488444061 in words is "sixteen trillion, forty-four billion, four hundred eighty-eight million, four hundred forty-four thousand, sixty-one".

Divisors: 1 3 7 9 11 21 27 29 33 63 77 87 99 189 193 203 231 261 297 319 579 609 693 783 957 1351 1737 1827 2079 2123 2233 2871 4053 5211 5481 5597 6369 6699 8613 12159 14861 16791 19107 20097 36477 39179 44583 50373 57321 60291 61567 117537 133749 151119 184701 352611 401247 430969 554103 1057833 1292907 1378847 1662309 3878721 4136541 9651929 11636163 12409623 15167317 28955787 37228869 39986563 45501951 86867361 106171219 119959689 136505853 260602083 266117471 279905941 318513657 359879067 409517559 439852193 798352413 839717823 955540971 1079637201 1319556579 1862822297 2395057239 2519153469 2866622913 2927292181 3078965351 3958669737 5588466891 7185171717 7557460407 7717406659 8781876543 9236896053 11876009211 16765400673 20491045267 23152219977 26345629629 27710688159 50296202019 54021846613 61473135801 69456659931 79036888887 83132064477 84891473249 162065539839 184419407403 208369979793 254674419747 486196619517 553258222209 594240312743 764023259241 1458589858551 1782720938229 2292069777723 5348162814687 16044488444061