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10422441331344 = 2432710339723543
BaseRepresentation
bin1001011110101010100111…
…1010011100101010010000
31100220101010212010101002100
42113222221322130222100
52331230124440100334
634100000424520400
72123665545410310
oct227525172345220
940811125111070
1010422441331344
113359150467849
121203b32620100
135a7aa7b9b943
1428063d915440
151311a1a94c99
hex97aa9e9ca90

10422441331344 has 60 divisors (see below), whose sum is σ = 33335268705856. Its totient is φ = 2977840380096.

The previous prime is 10422441331297. The next prime is 10422441331397. The reversal of 10422441331344 is 44313314422401.

10422441331344 is a `hidden beast` number, since 1 + 0 + 4 + 224 + 413 + 3 + 13 + 4 + 4 = 666.

10422441331344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10422441331299 and 10422441331308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5169860764 + ... + 5169862779.

Almost surely, 210422441331344 is an apocalyptic number.

10422441331344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10422441331344 is an abundant number, since it is smaller than the sum of its proper divisors (22912827374512).

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

10422441331344 is a wasteful number, since it uses less digits than its factorization.

10422441331344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10339723564 (or 10339723555 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 10422441331344 its reverse (44313314422401), we get a palindrome (54735755753745).

The spelling of 10422441331344 in words is "ten trillion, four hundred twenty-two billion, four hundred forty-one million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 10339723543 20679447086 31019170629 41358894172 62038341258 72378064801 82717788344 93057511887 124076682516 144756129602 165435576688 186115023774 217134194403 248153365032 289512259204 372230047548 434268388806 496306730064 579024518408 651402583209 744460095096 868536777612 1158049036816 1302805166418 1488920190192 1737073555224 2605610332836 3474147110448 5211220665672 10422441331344