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1424433322512 = 2432113748911689
BaseRepresentation
bin10100101110100110110…
…101111001101000010000
312001011201012121011220200
4110232212311321220100
5141314214412310022
63010213045335200
7204624533316324
oct24564665715020
95034635534820
101424433322512
114aa10a526112
121b0093a07500
13a4428910b65
144cd2b601984
15270bd1e7bac
hex14ba6d79a10

1424433322512 has 120 divisors (see below), whose sum is σ = 4022594230200. Its totient is φ = 470506143744.

The previous prime is 1424433322453. The next prime is 1424433322513. The reversal of 1424433322512 is 2152233344241.

1424433322512 is a `hidden beast` number, since 1 + 42 + 44 + 33 + 32 + 2 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230999429376 + 1193433893136 = 480624^2 + 1092444^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1424433322513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121855164 + ... + 121866852.

It is an arithmetic number, because the mean of its divisors is an integer number (33521618585).

Almost surely, 21424433322512 is an apocalyptic number.

1424433322512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424433322512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011297115100).

1424433322512 is an abundant number, since it is smaller than the sum of its proper divisors (2598160907688).

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

1424433322512 is a wasteful number, since it uses less digits than its factorization.

1424433322512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19305 (or 19296 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 1424433322512 its reverse (2152233344241), we get a palindrome (3576666666753).

The spelling of 1424433322512 in words is "one trillion, four hundred twenty-four billion, four hundred thirty-three million, three hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 7489 8136 11689 14978 16272 22467 23378 29956 35067 44934 46756 59912 67401 70134 89868 93512 105201 119824 134802 140268 179736 187024 210402 269604 280536 359472 420804 539208 561072 841608 846257 1078416 1320857 1683216 1692514 2538771 2641714 3385028 3962571 5077542 5283428 6770056 7616313 7925142 10155084 10566856 11887713 13540112 15232626 15850284 20310168 21133712 23775426 30465252 31700568 40620336 47550852 60930504 63401136 87538921 95101704 121861008 175077842 190203408 262616763 350155684 525233526 700311368 787850289 1050467052 1400622736 1575700578 2100934104 3151401156 4201868208 6302802312 9891898073 12605604624 19783796146 29675694219 39567592292 59351388438 79135184584 89027082657 118702776876 158270369168 178054165314 237405553752 356108330628 474811107504 712216661256 1424433322512