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440423413122 = 2371119241208189
BaseRepresentation
bin1100110100010110100…
…01111111010110000010
31120002210212100112002210
412122023101333112002
524203441343204442
6534154442122550
743551050146260
oct6321321772602
91502725315083
10440423413122
1115a867597a40
1271434ab0456
13326bb33bcc4
1417460aab430
15b6ca66b19c
hex668b47f582

440423413122 has 128 divisors (see below), whose sum is σ = 1160800819200. Its totient is φ = 107924659200.

The previous prime is 440423413121. The next prime is 440423413123. The reversal of 440423413122 is 221314324044.

It is an interprime number because it is at equal distance from previous prime (440423413121) and next prime (440423413123).

It is a self number, because there is not a number n which added to its sum of digits gives 440423413122.

It is not an unprimeable number, because it can be changed into a prime (440423413121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2011404 + ... + 2219592.

It is an arithmetic number, because the mean of its divisors is an integer number (9068756400).

Almost surely, 2440423413122 is an apocalyptic number.

440423413122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 440423413122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580400409600).

440423413122 is an abundant number, since it is smaller than the sum of its proper divisors (720377406078).

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

440423413122 is a wasteful number, since it uses less digits than its factorization.

440423413122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208472.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 440423413122 its reverse (221314324044), we get a palindrome (661737737166).

The spelling of 440423413122 in words is "four hundred forty billion, four hundred twenty-three million, four hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 241 266 399 418 462 482 627 723 798 1254 1446 1463 1687 2651 2926 3374 4389 4579 5061 5302 7953 8778 9158 10122 13737 15906 18557 27474 32053 37114 50369 55671 64106 96159 100738 111342 151107 192318 208189 302214 352583 416378 624567 705166 1057749 1249134 1457323 2115498 2290079 2914646 3955591 4371969 4580158 6870237 7911182 8743938 11866773 13740474 16030553 23733546 27689137 32061106 43511501 48091659 50173549 55378274 83067411 87023002 96183318 100347098 130534503 150520647 166134822 261069006 301041294 304580507 351214843 551909039 609161014 702429686 913741521 953297431 1053644529 1103818078 1655727117 1827483042 1906594862 2107289058 2859892293 3311454234 3863363273 5719784586 6673082017 7726726546 10486271741 11590089819 13346164034 20019246051 20972543482 23180179638 31458815223 40038492102 62917630446 73403902187 146807804374 220211706561 440423413122