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441110071712 = 25293120697411
BaseRepresentation
bin1100110101101000011…
…01011000100110100000
31120011120201102101121102
412122310031120212200
524211343134243322
6534350531413532
743604055513332
oct6326415304640
91504521371542
10441110071712
1116008a154782
12715a6a542a8
133279a68996b
14174c7d71452
15b71aaa5792
hex66b43589a0

441110071712 has 96 divisors (see below), whose sum is σ = 927934963200. Its totient is φ = 205952947200.

The previous prime is 441110071693. The next prime is 441110071729. The reversal of 441110071712 is 217170011144.

It is a happy number.

It is a super-2 number, since 2×4411100717122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59517287 + ... + 59524697.

It is an arithmetic number, because the mean of its divisors is an integer number (9665989200).

Almost surely, 2441110071712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441110071712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463967481600).

441110071712 is an abundant number, since it is smaller than the sum of its proper divisors (486824891488).

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

441110071712 is a wasteful number, since it uses less digits than its factorization.

441110071712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9550 (or 9542 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 29.

Adding to 441110071712 its reverse (217170011144), we get a palindrome (658280082856).

The spelling of 441110071712 in words is "four hundred forty-one billion, one hundred ten million, seventy-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 464 496 899 928 992 1798 2069 3596 4138 7192 7411 8276 14384 14822 16552 28768 29644 33104 59288 60001 64139 66208 118576 120002 128278 214919 229741 237152 240004 256556 429838 459482 480008 513112 859676 918964 960016 1026224 1719352 1837928 1860031 1920032 2052448 3438704 3675856 3720062 6662489 6877408 7351712 7440124 13324978 14880248 15333359 26649956 29760496 30666718 53299912 59520992 61333436 106599824 122666872 213199648 245333744 444667411 475334129 490667488 889334822 950668258 1778669644 1901336516 3557339288 3802673032 7114678576 7605346064 13784689741 14229357152 15210692128 27569379482 55138758964 110277517928 220555035856 441110071712