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12042134440 = 235761705043
BaseRepresentation
bin10110011011100010…
…00110001110101000
31011002020101210221021
423031301012032220
5144130241300230
65310532422224
7604262311450
oct131561061650
934066353837
1012042134440
11511a51a926
122400a77974
13119bac7a4b
14823468d60
154a72e4c7a
hex2cdc463a8

12042134440 has 64 divisors (see below), whose sum is σ = 31473164160. Its totient is φ = 4061041920.

The previous prime is 12042134369. The next prime is 12042134453. The reversal of 12042134440 is 4443124021.

It is a super-2 number, since 2×120421344402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335442 + ... + 369601.

It is an arithmetic number, because the mean of its divisors is an integer number (491768190).

Almost surely, 212042134440 is an apocalyptic number.

12042134440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042134440 is an abundant number, since it is smaller than the sum of its proper divisors (19431029720).

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

12042134440 is a wasteful number, since it uses less digits than its factorization.

12042134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705122 (or 705118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12042134440 its reverse (4443124021), we get a palindrome (16485258461).

The spelling of 12042134440 in words is "twelve billion, forty-two million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2440 3416 4270 8540 17080 705043 1410086 2820172 3525215 4935301 5640344 7050430 9870602 14100860 19741204 24676505 28201720 39482408 43007623 49353010 86015246 98706020 172030492 197412040 215038115 301053361 344060984 430076230 602106722 860152460 1204213444 1505266805 1720304920 2408426888 3010533610 6021067220 12042134440