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44198540064 = 2532760136479
BaseRepresentation
bin101001001010011100…
…000011001100100000
311020002021100110201100
4221022130003030200
51211004311240224
632145440034400
73123165251250
oct511234031440
9136067313640
1044198540064
1117820a18368
128696002a00
134224b698b3
1421d4043960
15123a3c8ac9
hexa4a703320

44198540064 has 144 divisors (see below), whose sum is σ = 143888209920. Its totient is φ = 12606796800.

The previous prime is 44198540041. The next prime is 44198540077. The reversal of 44198540064 is 46004589144.

44198540064 is a `hidden beast` number, since 4 + 41 + 9 + 8 + 540 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1193377 + ... + 1229855.

It is an arithmetic number, because the mean of its divisors is an integer number (999223680).

Almost surely, 244198540064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44198540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71944104960).

44198540064 is an abundant number, since it is smaller than the sum of its proper divisors (99689669856).

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

44198540064 is a wasteful number, since it uses less digits than its factorization.

44198540064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37103 (or 37092 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 44198540064 in words is "forty-four billion, one hundred ninety-eight million, five hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 601 672 1008 1202 1803 2016 2404 3606 4207 4808 5409 7212 8414 9616 10818 12621 14424 16828 19232 21636 25242 28848 33656 36479 37863 43272 50484 57696 67312 72958 75726 86544 100968 109437 134624 145916 151452 173088 201936 218874 255353 291832 302904 328311 403872 437748 510706 583664 605808 656622 766059 875496 1021412 1167328 1211616 1313244 1532118 1750992 2042824 2298177 2626488 3064236 3501984 4085648 4596354 5252976 6128472 8171296 9192708 10505952 12256944 18385416 21923879 24513888 36770832 43847758 65771637 73541664 87695516 131543274 153467153 175391032 197314911 263086548 306934306 350782064 394629822 460401459 526173096 613868612 701564128 789259644 920802918 1052346192 1227737224 1381204377 1578519288 1841605836 2104692384 2455474448 2762408754 3157038576 3683211672 4910948896 5524817508 6314077152 7366423344 11049635016 14732846688 22099270032 44198540064