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44434444443444 = 22331141143909091
BaseRepresentation
bin10100001101001101100110…
…10001101101111100110100
312211022220001211111002212000
422012212303101231330310
521311003220234142234
6234300522454255300
712234165645640566
oct1206466321557464
9184286054432760
1044434444443444
11131815a6537220
124b97839657530
131ba41c4aba7c3
14ad88d23cd336
15520c964b1899
hex2869b346df34

44434444443444 has 96 divisors (see below), whose sum is σ = 125676368993280. Its totient is φ = 13464641080800.

The previous prime is 44434444443419. The next prime is 44434444443449.

44434444443444 is a `hidden beast` number, since 44 + 43 + 4 + 44 + 44 + 43 + 444 = 666.

44434444443444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444344444434442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44434444443449) 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, 48423339 + ... + 49332429.

It is an arithmetic number, because the mean of its divisors is an integer number (1309128843680).

Almost surely, 244434444443444 is an apocalyptic number.

44434444443444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44434444443444 is an abundant number, since it is smaller than the sum of its proper divisors (81241924549836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44434444443444 is a wasteful number, since it uses less digits than its factorization.

44434444443444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950258 (or 950250 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 54.

It can be divided in two parts, 4443444 and 4443444, that added together give a palindrome (8886888).

The spelling of 44434444443444 in words is "forty-four trillion, four hundred thirty-four billion, four hundred forty-four million, four hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 41143 82286 123429 164572 246858 370287 452573 493716 740574 905146 909091 1110861 1357719 1481148 1810292 1818182 2221722 2715438 2727273 3636364 4073157 4443444 5430876 5454546 8146314 8181819 10000001 10909092 12219471 16292628 16363638 20000002 24438942 24545457 30000003 32727276 40000004 48877884 49090914 60000006 90000009 98181828 120000012 180000018 270000027 360000036 540000054 1080000108 37402731013 74805462026 112208193039 149610924052 224416386078 336624579117 411430041143 448832772156 673249158234 822860082286 1009873737351 1234290123429 1346498316468 1645720164572 2019747474702 2468580246858 3702870370287 4039494949404 4937160493716 7405740740574 11108611110861 14811481481148 22217222221722 44434444443444