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4344003711040 = 26572277041053
BaseRepresentation
bin111111001101101010110…
…011000101000001000000
3120101021122002100212012211
4333031222303011001000
51032133004422223130
613123335135231504
7625562314210300
oct77155263050100
916337562325184
104344003711040
111425310935304
125a1a92078594
1325683a2ca486
1411037268b600
1577ee68aaa2a
hex3f36acc5040

4344003711040 has 84 divisors (see below), whose sum is σ = 12033001139436. Its totient is φ = 1489372695552.

The previous prime is 4344003711007. The next prime is 4344003711059. The reversal of 4344003711040 is 401173004434.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 767880658944 + 3576123052096 = 876288^2 + 1891064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4344003710993 and 4344003711011.

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 11 ways as a sum of consecutive naturals, for example, 138504847 + ... + 138536206.

Almost surely, 24344003711040 is an apocalyptic number.

4344003711040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4344003711040 is an abundant number, since it is smaller than the sum of its proper divisors (7688997428396).

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

4344003711040 is a wasteful number, since it uses less digits than its factorization.

4344003711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277041084 (or 277041067 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

Adding to 4344003711040 its reverse (401173004434), we get a palindrome (4745176715474).

The spelling of 4344003711040 in words is "four trillion, three hundred forty-four billion, three million, seven hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 15680 277041053 554082106 1108164212 1385205265 1939287371 2216328424 2770410530 3878574742 4432656848 5540821060 7757149484 8865313696 9696436855 11081642120 13575011597 15514298968 17730627392 19392873710 22163284240 27150023194 31028597936 38785747420 44326568480 54300046388 62057195872 67875057985 77571494840 88653136960 108600092776 124114391744 135750115970 155142989680 217200185552 271500231940 310285979360 434400371104 543000463880 620571958720 868800742208 1086000927760 2172001855520 4344003711040