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214104505743 = 361979389503
BaseRepresentation
bin1100011101100110011…
…1110111110110001111
3202110122022101211000000
43013121213313312033
512001441223140433
6242205214335343
721316465162002
oct3073147676617
9673568354000
10214104505743
118288a459117
12355b31ba553
131726148b66b
14a5113dd539
15588184c113
hex31d99f7d8f

214104505743 has 112 divisors (see below), whose sum is σ = 343744128000. Its totient is φ = 132904234944.

The previous prime is 214104505733. The next prime is 214104505757. The reversal of 214104505743 is 347505401412.

214104505743 is a `hidden beast` number, since 2 + 1 + 4 + 104 + 505 + 7 + 43 = 666.

It is not a de Polignac number, because 214104505743 - 25 = 214104505711 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214104505698 and 214104505707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214104505733) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 425654830 + ... + 425655332.

It is an arithmetic number, because the mean of its divisors is an integer number (3069144000).

Almost surely, 2214104505743 is an apocalyptic number.

214104505743 is a deficient number, since it is larger than the sum of its proper divisors (129639622257).

214104505743 is an equidigital number, since it uses as much as digits as its factorization.

214104505743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 214104505743 in words is "two hundred fourteen billion, one hundred four million, five hundred five thousand, seven hundred forty-three".

Divisors: 1 3 9 19 27 57 79 81 171 237 243 389 503 513 711 729 1167 1501 1509 1539 2133 3501 4503 4527 4617 6399 7391 9557 10503 13509 13581 13851 19197 22173 28671 30731 31509 39737 40527 40743 57591 66519 86013 92193 94527 119211 121581 122229 195667 199557 258039 276579 283581 357633 364743 366687 583889 587001 598671 755003 774117 829737 1072899 1094229 1751667 1761003 1796013 2265009 2322351 2489211 3218697 3717673 5255001 5283009 5388039 6795027 6967053 7467633 9656091 11153019 15457693 15765003 15849027 20385081 22402899 28968273 33459057 46373079 47295009 47547081 61155243 100377171 139119237 141885027 142641243 183465729 293696167 301131513 417357711 425655081 550397187 881088501 903394539 1252073133 2643265503 2710183617 3756219399 7929796509 11268658197 23789389527 71368168581 214104505743