Search a number
-
+
444110222114229 = 311232291532553427
BaseRepresentation
bin110010011111010100111100…
…0000001111011110110110101
32011020110112002222020101012110
41210332221320001323312311
5431202300213330123404
64212313230335441233
7162354622212353136
oct14476517001736665
92136415088211173
10444110222114229
111195640a64aa120
1241987652986219
13160a6550138978
147b95099943c8d
1536524d5674b89
hex193ea7807bdb5

444110222114229 has 32 divisors (see below), whose sum is σ = 674067732378624. Its totient is φ = 257453976890880.

The previous prime is 444110222114227. The next prime is 444110222114303. The reversal of 444110222114229 is 922411222011444.

It is not a de Polignac number, because 444110222114229 - 21 = 444110222114227 is a prime.

It is a super-2 number, since 2×4441102221142292 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444110222114227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172650414 + ... + 175203840.

It is an arithmetic number, because the mean of its divisors is an integer number (21064616636832).

Almost surely, 2444110222114229 is an apocalyptic number.

It is an amenable number.

444110222114229 is a deficient number, since it is larger than the sum of its proper divisors (229957510264395).

444110222114229 is a wasteful number, since it uses less digits than its factorization.

444110222114229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782617.

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 444110222114229 in words is "four hundred forty-four trillion, one hundred ten billion, two hundred twenty-two million, one hundred fourteen thousand, two hundred twenty-nine".

Divisors: 1 3 11 23 33 69 253 759 229153 687459 2520683 2553427 5270519 7562049 7660281 15811557 28087697 57975709 58728821 84263091 173927127 176186463 646017031 1938051093 585125457331 1755376371993 6436380030641 13457885518613 19309140091923 40373656555839 148036740704743 444110222114229