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444334433444 = 221140519249229
BaseRepresentation
bin1100111011101000110…
…01010110010010100100
31120110220102121221101022
412131310121112102210
524234444103332234
6540042512550312
744050010240006
oct6356431262244
91513812557338
10444334433444
11161494227440
1272146852398
1332b926a8005
141771229c376
15b858bb6e2e
hex67746564a4

444334433444 has 24 divisors (see below), whose sum is σ = 848299166400. Its totient is φ = 201964402080.

The previous prime is 444334433443. The next prime is 444334433497.

444334433444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4443344334442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444334433395 and 444334433404.

It is not an unprimeable number, because it can be changed into a prime (444334433441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1658222 + ... + 1907450.

It is an arithmetic number, because the mean of its divisors is an integer number (35345798600).

Almost surely, 2444334433444 is an apocalyptic number.

444334433444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444334433444 is a deficient number, since it is larger than the sum of its proper divisors (403964732956).

444334433444 is a wasteful number, since it uses less digits than its factorization.

444334433444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289763 (or 289761 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 44.

It can be divided in two parts, 444334 and 433444, that added together give a palindrome (877778).

The spelling of 444334433444 in words is "four hundred forty-four billion, three hundred thirty-four million, four hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 40519 81038 162076 249229 445709 498458 891418 996916 1782836 2741519 5483038 10966076 10098509851 20197019702 40394039404 111083608361 222167216722 444334433444