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44124133221040 = 2458591078959513
BaseRepresentation
bin10100000100001011100110…
…10010010110001010110000
312210020020002201011201002211
422002011303102112022300
521240412211101033130
6233502202540021504
712202602104033305
oct1202056322261260
9183206081151084
1044124133221040
1113071a37986a14
124b47676b31894
131b80b70974882
14ac7895a730ac
15517b8396aa2a
hex2821734962b0

44124133221040 has 80 divisors (see below), whose sum is σ = 102719283357600. Its totient is φ = 17627176359936.

The previous prime is 44124133221013. The next prime is 44124133221043. The reversal of 44124133221040 is 4012233142144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 44124133220993 and 44124133221011.

It is not an unprimeable number, because it can be changed into a prime (44124133221043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741390324 + ... + 741449836.

It is an arithmetic number, because the mean of its divisors is an integer number (1283991041970).

Almost surely, 244124133221040 is an apocalyptic number.

44124133221040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44124133221040 is an abundant number, since it is smaller than the sum of its proper divisors (58595150136560).

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

44124133221040 is a wasteful number, since it uses less digits than its factorization.

44124133221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71174 (or 71168 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 44124133221040 its reverse (4012233142144), we get a palindrome (48136366363184).

The spelling of 44124133221040 in words is "forty-four trillion, one hundred twenty-four billion, one hundred thirty-three million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 859 1718 3436 4295 6872 8590 10789 13744 17180 21578 34360 43156 53945 59513 68720 86312 107890 119026 172624 215780 238052 297565 431560 476104 595130 863120 952208 1190260 2380520 4761040 9267751 18535502 37071004 46338755 51121667 74142008 92677510 102243334 148284016 185355020 204486668 255608335 370710040 408973336 511216670 642085757 741420080 817946672 1022433340 1284171514 2044866680 2568343028 3210428785 4089733360 5136686056 6420857570 10273372112 12841715140 25683430280 51366860560 551551665263 1103103330526 2206206661052 2757758326315 4412413322104 5515516652630 8824826644208 11031033305260 22062066610520 44124133221040