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1041443414304 = 253172327745189
BaseRepresentation
bin11110010011110101101…
…11010110000100100000
310200120010222112000011120
433021322313112010200
5114030334003224204
62114233230412240
7135145636650546
oct17117267260440
93616128460146
101041443414304
11371745725517
12149a09361080
13772913ba4b7
14385985c7d96
151c154d1b6d9
hexf27add6120

1041443414304 has 96 divisors (see below), whose sum is σ = 3020452364160. Its totient is φ = 312521797632.

The previous prime is 1041443414279. The next prime is 1041443414351. The reversal of 1041443414304 is 4034143441401.

1041443414304 is digitally balanced in base 2 and base 4, because in such bases 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 (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13835059 + ... + 13910130.

It is an arithmetic number, because the mean of its divisors is an integer number (31463045460).

Almost surely, 21041443414304 is an apocalyptic number.

It is an amenable number.

1041443414304 is an abundant number, since it is smaller than the sum of its proper divisors (1979008949856).

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

1041443414304 is a wasteful number, since it uses less digits than its factorization.

1041443414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27745242 (or 27745234 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 1041443414304 its reverse (4034143441401), we get a palindrome (5075586855705).

The spelling of 1041443414304 in words is "one trillion, forty-one billion, four hundred forty-three million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 138 184 204 272 276 368 391 408 544 552 736 782 816 1104 1173 1564 1632 2208 2346 3128 4692 6256 9384 12512 18768 37536 27745189 55490378 83235567 110980756 166471134 221961512 332942268 443923024 471668213 638139347 665884536 887846048 943336426 1276278694 1331769072 1415004639 1886672852 1914418041 2552557388 2663538144 2830009278 3773345704 3828836082 5105114776 5660018556 7546691408 7657672164 10210229552 10848368899 11320037112 15093382816 15315344328 20420459104 21696737798 22640074224 30630688656 32545106697 43393475596 45280148448 61261377312 65090213394 86786951192 130180426788 173573902384 260360853576 347147804768 520721707152 1041443414304