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1224282326640 = 243512740166743
BaseRepresentation
bin10001110100001100111…
…010011100011001110000
311100001002100012010000120
4101310030322130121300
5130024312233423030
62334232203050240
7154310600034162
oct21641472343160
94301070163016
101224282326640
1143224050253a
12179335810980
138b5ac234719
1443381456932
1521ca6899010
hex11d0ce9c670

1224282326640 has 80 divisors (see below), whose sum is σ = 3825159364608. Its totient is φ = 323904607488.

The previous prime is 1224282326623. The next prime is 1224282326677. The reversal of 1224282326640 is 466232824221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1224282326592 and 1224282326601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20052892 + ... + 20113851.

Almost surely, 21224282326640 is an apocalyptic number.

1224282326640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224282326640 is an abundant number, since it is smaller than the sum of its proper divisors (2600877037968).

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

1224282326640 is a wasteful number, since it uses less digits than its factorization.

1224282326640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40166886 (or 40166880 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 1224282326640 in words is "one trillion, two hundred twenty-four billion, two hundred eighty-two million, three hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 5080 6096 7620 10160 15240 30480 40166743 80333486 120500229 160666972 200833715 241000458 321333944 401667430 482000916 602501145 642667888 803334860 964001832 1205002290 1606669720 1928003664 2410004580 3213339440 4820009160 5101176361 9640018320 10202352722 15303529083 20404705444 25505881805 30607058166 40809410888 51011763610 61214116332 76517645415 81618821776 102023527220 122428232664 153035290830 204047054440 244856465328 306070581660 408094108880 612141163320 1224282326640