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4144433143040 = 28519170412547
BaseRepresentation
bin111100010011110011011…
…101110001110100000000
3112200012111200010120200022
4330103303131301310000
51020400244341034130
612451532025313012
7605265626316521
oct74236335616400
915605450116608
104144433143040
11135870a511793
1256b276335768
13240a83c56198
1410483d632848
1572c15eb07e5
hex3c4f3771d00

4144433143040 has 72 divisors (see below), whose sum is σ = 10449697443360. Its totient is φ = 1570522023936.

The previous prime is 4144433143033. The next prime is 4144433143049. The reversal of 4144433143040 is 403413344414.

4144433143040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144433143049) 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, 85181954 + ... + 85230593.

Almost surely, 24144433143040 is an apocalyptic number.

4144433143040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144433143040 is an abundant number, since it is smaller than the sum of its proper divisors (6305264300320).

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

4144433143040 is a wasteful number, since it uses less digits than its factorization.

4144433143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170412587 (or 170412573 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 4144433143040 its reverse (403413344414), we get a palindrome (4547846487454).

The spelling of 4144433143040 in words is "four trillion, one hundred forty-four billion, four hundred thirty-three million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 12160 24320 170412547 340825094 681650188 852062735 1363300376 1704125470 2726600752 3237838393 3408250940 5453201504 6475676786 6816501880 10906403008 12951353572 13633003760 16189191965 21812806016 25902707144 27266007520 32378383930 43625612032 51805414288 54532015040 64756767860 103610828576 109064030080 129513535720 207221657152 218128060160 259027071440 414443314304 518054142880 828886628608 1036108285760 2072216571520 4144433143040