Search a number
-
+
444214134773565 = 351319787257132523
BaseRepresentation
bin110010100000000101010100…
…1101101010001011100111101
32011020211110022211020102000220
41211000022221231101130331
5431211001022000223230
64212433053432411553
7162365261236366542
oct14500125155213475
92136743284212026
10444214134773565
111195a417a494082
12419a3812b46bb9
13160b32a0439440
147b9a1164a0bc9
153655068130d10
hex19402a9b5173d

444214134773565 has 64 divisors (see below), whose sum is σ = 769315102085376. Its totient is φ = 217575798515712.

The previous prime is 444214134773557. The next prime is 444214134773621. The reversal of 444214134773565 is 565377431412444.

It is not a de Polignac number, because 444214134773565 - 23 = 444214134773557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444214134773499 and 444214134773508.

It is a congruent number.

It is an unprimeable number.

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, 3351911394 + ... + 3352043916.

It is an arithmetic number, because the mean of its divisors is an integer number (12020548470084).

Almost surely, 2444214134773565 is an apocalyptic number.

It is an amenable number.

444214134773565 is a deficient number, since it is larger than the sum of its proper divisors (325100967311811).

444214134773565 is a wasteful number, since it uses less digits than its factorization.

444214134773565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219998.

The product of its digits is 135475200, while the sum is 60.

The spelling of 444214134773565 in words is "four hundred forty-four trillion, two hundred fourteen billion, one hundred thirty-four million, seven hundred seventy-three thousand, five hundred sixty-five".

Divisors: 1 3 5 13 15 39 65 195 197 591 985 2561 2955 7683 12805 38415 87257 132523 261771 397569 436285 662615 1134341 1308855 1722799 1987845 3403023 5168397 5671705 8613995 17015115 17189629 25841985 26107031 51568887 78321093 85948145 130535155 223465177 257844435 339391403 391605465 670395531 1018174209 1117325885 1696957015 3351977655 5090871045 11563559411 34690678233 57817797055 150326272343 173453391165 450978817029 751631361715 2254894085145 2278021203967 6834063611901 11390106019835 29614275651571 34170318059505 88842826954713 148071378257855 444214134773565