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10440400334320 = 2451111864091289
BaseRepresentation
bin1001011111101101100001…
…0110100110110111110000
31100222002111110011020202201
42113323120112212313300
52332023414441144240
634112130444352544
72125202565412465
oct227733026466760
940862443136681
1010440400334320
113365826898570
121207504b45754
135a96aa776918
14281464b0d66c
151318a3550d9a
hex97ed85a6df0

10440400334320 has 40 divisors (see below), whose sum is σ = 26480651759280. Its totient is φ = 3796509212160.

The previous prime is 10440400334311. The next prime is 10440400334327. The reversal of 10440400334320 is 2343300404401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440400334327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5932044765 + ... + 5932046524.

It is an arithmetic number, because the mean of its divisors is an integer number (662016293982).

Almost surely, 210440400334320 is an apocalyptic number.

10440400334320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440400334320 is an abundant number, since it is smaller than the sum of its proper divisors (16040251424960).

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

10440400334320 is a wasteful number, since it uses less digits than its factorization.

10440400334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11864091313 (or 11864091307 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 10440400334320 its reverse (2343300404401), we get a palindrome (12783700738721).

The spelling of 10440400334320 in words is "ten trillion, four hundred forty billion, four hundred million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11864091289 23728182578 47456365156 59320456445 94912730312 118640912890 130505004179 189825460624 237281825780 261010008358 474563651560 522020016716 652525020895 949127303120 1044040033432 1305050041790 2088080066864 2610100083580 5220200167160 10440400334320