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104445304344 = 233217611398871
BaseRepresentation
bin110000101000101101…
…1001101111000011000
3100222120222021012102100
41201101123031320120
53202400444214334
6115552001203400
710355152303323
oct1412133157030
9328528235370
10104445304344
1140327719047
12182aa630560
139b06775744
1450ab5ad7ba
152ab4621c99
hex18516cde18

104445304344 has 96 divisors (see below), whose sum is σ = 304422524640. Its totient is φ = 32229964800.

The previous prime is 104445304333. The next prime is 104445304357. The reversal of 104445304344 is 443403544401.

104445304344 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 4 + 5 + 304 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104445304299 and 104445304308.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 624772 + ... + 774099.

It is an arithmetic number, because the mean of its divisors is an integer number (3171067965).

Almost surely, 2104445304344 is an apocalyptic number.

It is an amenable number.

104445304344 is an abundant number, since it is smaller than the sum of its proper divisors (199977220296).

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

104445304344 is a wasteful number, since it uses less digits than its factorization.

104445304344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398961 (or 1398954 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 104445304344 its reverse (443403544401), we get a palindrome (547848848745).

The spelling of 104445304344 in words is "one hundred four billion, four hundred forty-five million, three hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 61 68 72 102 122 136 153 183 204 244 306 366 408 488 549 612 732 1037 1098 1224 1464 2074 2196 3111 4148 4392 6222 8296 9333 12444 18666 24888 37332 74664 1398871 2797742 4196613 5595484 8393226 11190968 12589839 16786452 23780807 25179678 33572904 47561614 50359356 71342421 85331131 95123228 100718712 142684842 170662262 190246456 214027263 255993393 285369684 341324524 428054526 511986786 570739368 682649048 767980179 856109052 1023973572 1450629227 1535960358 1712218104 2047947144 2901258454 3071920716 4351887681 5802516908 6143841432 8703775362 11605033816 13055663043 17407550724 26111326086 34815101448 52222652172 104445304344