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13442331322040 = 2351273769702077
BaseRepresentation
bin1100001110011100100101…
…1000100010011010111000
31202121002000011220212101112
43003213021120202122320
53230214343304301130
644331153255535452
72555114333660435
oct303471130423270
952532004825345
1013442331322040
114312951654965
12161126968a588
137667b6369aba
14346880258b8c
151849ec574495
hexc39c96226b8

13442331322040 has 64 divisors (see below), whose sum is σ = 30491528371200. Its totient is φ = 5333171493888.

The previous prime is 13442331322031. The next prime is 13442331322103. The reversal of 13442331322040 is 4022313324431.

It is a junction number, because it is equal to n+sod(n) for n = 13442331321988 and 13442331322006.

It is a congruent number.

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, 18795482 + ... + 19497558.

It is an arithmetic number, because the mean of its divisors is an integer number (476430130800).

Almost surely, 213442331322040 is an apocalyptic number.

13442331322040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13442331322040 is an abundant number, since it is smaller than the sum of its proper divisors (17049197049160).

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

13442331322040 is a wasteful number, since it uses less digits than its factorization.

13442331322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705984 (or 705980 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 13442331322040 its reverse (4022313324431), we get a palindrome (17464644646471).

The spelling of 13442331322040 in words is "thirteen trillion, four hundred forty-two billion, three hundred thirty-one million, three hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1270 2540 3769 5080 7538 15076 18845 30152 37690 75380 150760 478663 702077 957326 1404154 1914652 2393315 2808308 3510385 3829304 4786630 5616616 7020770 9573260 14041540 19146520 28083080 89163779 178327558 356655116 445818895 713310232 891637790 1783275580 2646128213 3566551160 5292256426 10584512852 13230641065 21169025704 26461282130 52922564260 105845128520 336058283051 672116566102 1344233132204 1680291415255 2688466264408 3360582830510 6721165661020 13442331322040