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440022211301424 = 243239152325184629
BaseRepresentation
bin110010000001100101010011…
…1100110010001000000110000
32010200222201020110200010222210
41210003022213212101000300
5430133310442043121144
64155503225132332120
7161453361410652033
oct14403124746210060
92120881213603883
10440022211301424
1111822840aa19224
1241427304314040
1315b6abbb67a80b
147a9328d98901a
1535d0ec2cb6ab9
hex19032a7991030

440022211301424 has 80 divisors (see below), whose sum is σ = 1142229753331200. Its totient is φ = 145964462531328.

The previous prime is 440022211301381. The next prime is 440022211301429. The reversal of 440022211301424 is 424103112220044.

It is a junction number, because it is equal to n+sod(n) for n = 440022211301391 and 440022211301400.

It is not an unprimeable number, because it can be changed into a prime (440022211301429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4879542 + ... + 30064170.

It is an arithmetic number, because the mean of its divisors is an integer number (14277871916640).

Almost surely, 2440022211301424 is an apocalyptic number.

It is an amenable number.

440022211301424 is an abundant number, since it is smaller than the sum of its proper divisors (702207542029776).

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

440022211301424 is a wasteful number, since it uses less digits than its factorization.

440022211301424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25186402 (or 25186396 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 440022211301424 its reverse (424103112220044), we get a palindrome (864125323521468).

The spelling of 440022211301424 in words is "four hundred forty trillion, twenty-two billion, two hundred eleven million, three hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 239 478 717 956 1434 1523 1912 2868 3046 3824 4569 5736 6092 9138 11472 12184 18276 24368 36552 73104 363997 727994 1091991 1455988 2183982 2911976 4367964 5823952 8735928 17471856 25184629 50369258 75553887 100738516 151107774 201477032 302215548 402954064 604431096 1208862192 6019126331 12038252662 18057378993 24076505324 36114757986 38356189967 48153010648 72229515972 76712379934 96306021296 115068569901 144459031944 153424759868 230137139802 288918063888 306849519736 460274279604 613699039472 920548559208 1841097118416 9167129402113 18334258804226 27501388206339 36668517608452 55002776412678 73337035216904 110005552825356 146674070433808 220011105650712 440022211301424