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104433441013044 = 2232112131844201473
BaseRepresentation
bin10111101111101101001110…
…001001110111110100110100
3111200202201222001202002002100
4113233231032021313310310
5102142014141344404134
61010040021021542100
730666032011030263
oct2757551611676464
9450681861662070
10104433441013044
1130303a78972200
12b867a98114930
1346370537ca5a0
141bb08697645da
15c11847e06999
hex5efb4e277d34

104433441013044 has 108 divisors (see below), whose sum is σ = 312485186157508. Its totient is φ = 29212151316480.

The previous prime is 104433441013019. The next prime is 104433441013073. The reversal of 104433441013044 is 440310144334401.

104433441013044 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 3 + 344 + 1 + 0 + 1 + 304 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61459516310544 + 42973924702500 = 7839612^2 + 6555450^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 922044109 + ... + 922157364.

Almost surely, 2104433441013044 is an apocalyptic number.

It is an amenable number.

104433441013044 is an abundant number, since it is smaller than the sum of its proper divisors (208051745144464).

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

104433441013044 is a wasteful number, since it uses less digits than its factorization.

104433441013044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844201518 (or 1844201502 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 104433441013044 its reverse (440310144334401), we get a palindrome (544743585347445).

The spelling of 104433441013044 in words is "one hundred four trillion, four hundred thirty-three billion, four hundred forty-one million, thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1452 1573 1716 2178 2574 3146 4356 4719 5148 6292 9438 14157 18876 28314 56628 1844201473 3688402946 5532604419 7376805892 11065208838 16597813257 20286216203 22130417676 23974619149 33195626514 40572432406 47949238298 60858648609 66391253028 71923857447 81144864812 95898476596 121717297218 143847714894 182575945827 215771572341 223148378233 243434594436 263720810639 287695429788 365151891654 431543144682 446296756466 527441621278 669445134699 730303783308 791162431917 863086289364 892593512932 1054883242556 1338890269398 1582324863834 2008335404097 2373487295751 2677780538796 2900928917029 3164649727668 4016670808194 4746974591502 5801857834058 8033341616388 8702786751087 9493949183004 11603715668116 17405573502174 26108360253261 34811147004348 52216720506522 104433441013044