Search a number
-
+
444104214430233 = 37236715190883703
BaseRepresentation
bin110010011111010010001000…
…1111100011100001000011001
32011020102221121021201102001210
41210332210101330130020121
5431202200412343231413
64212310354250133333
7162354320303032350
oct14476442174341031
92136387537642053
10444104214430233
111195615a3300225
1241986456a21249
13160a5b035ac576
147b94a89ad4997
1536522830203c3
hex193e911f1c219

444104214430233 has 64 divisors (see below), whose sum is σ = 721439204769792. Its totient is φ = 237533643547200.

The previous prime is 444104214430229. The next prime is 444104214430271. The reversal of 444104214430233 is 332034412401444.

It is a happy number.

It is not a de Polignac number, because 444104214430233 - 22 = 444104214430229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444104214430191 and 444104214430200.

It is not an unprimeable number, because it can be changed into a prime (444104214438233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40555341 + ... + 50328362.

It is an arithmetic number, because the mean of its divisors is an integer number (11272487574528).

Almost surely, 2444104214430233 is an apocalyptic number.

It is an amenable number.

444104214430233 is a deficient number, since it is larger than the sum of its proper divisors (277334990339559).

444104214430233 is a wasteful number, since it uses less digits than its factorization.

444104214430233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90883954.

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 444104214430233 its reverse (332034412401444), we get a palindrome (776138626831677).

The spelling of 444104214430233 in words is "four hundred forty-four trillion, one hundred four billion, two hundred fourteen million, four hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 7 21 23 67 69 151 161 201 453 469 483 1057 1407 1541 3171 3473 4623 10117 10419 10787 24311 30351 32361 70819 72933 212457 232691 698073 1628837 4886511 90883703 272651109 636185921 1908557763 2090325169 6089208101 6270975507 13723439153 14632276183 18267624303 41170317459 42624456707 43896828549 96064074071 127873370121 140051786323 288192222213 315639100519 420155358969 919470423251 946917301557 980362504261 2209473703633 2758411269753 2941087512783 6436292962757 6628421110899 19308878888271 21147819734773 63443459204319 148034738143411 444104214430233