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440522123112 = 233210956131769
BaseRepresentation
bin1100110100100010010…
…10100010011101101000
31120010001202002111202100
412122101022202131220
524204142130414422
6534212325533400
743553356156431
oct6322112423550
91503052074670
10440522123112
1115a908288245
1271461b74260
1332705920596
141746dc44488
15b6d41687ac
hex66912a2768

440522123112 has 48 divisors (see below), whose sum is σ = 1204026466500. Its totient is φ = 145493542656.

The previous prime is 440522123033. The next prime is 440522123123. The reversal of 440522123112 is 211321225044.

440522123112 is a `hidden beast` number, since 4 + 4 + 0 + 522 + 1 + 23 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 387274714596 + 53247408516 = 622314^2 + 230754^2 .

It is a super-2 number, since 2×4405221231122 (a number of 24 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 28058037 + ... + 28073732.

Almost surely, 2440522123112 is an apocalyptic number.

It is an amenable number.

440522123112 is an abundant number, since it is smaller than the sum of its proper divisors (763504343388).

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

440522123112 is a wasteful number, since it uses less digits than its factorization.

440522123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56131890 (or 56131883 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 440522123112 its reverse (211321225044), we get a palindrome (651843348156).

The spelling of 440522123112 in words is "four hundred forty billion, five hundred twenty-two million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 56131769 112263538 168395307 224527076 336790614 449054152 505185921 673581228 1010371842 1347162456 2020743684 4041487368 6118362821 12236725642 18355088463 24473451284 36710176926 48946902568 55065265389 73420353852 110130530778 146840707704 220261061556 440522123112