Search a number
-
+
44160388841772 = 223272327972724031
BaseRepresentation
bin10100000101001111001000…
…10010100100000100101100
312210100200200102112001212200
422002213210102210010230
521242010434020414042
6233531000315501500
712205324413522420
oct1202474422440454
9183320612461780
1044160388841772
1113086352273435
124b526b4a57890
131b843cb0655a8
14ac9534c2ab80
15518aa6871c4c
hex2829e44a412c

44160388841772 has 144 divisors (see below), whose sum is σ = 133168815316992. Its totient is φ = 12064358401920.

The previous prime is 44160388841759. The next prime is 44160388841813. The reversal of 44160388841772 is 27714888306144.

44160388841772 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 0 + 388 + 84 + 177 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14849397 + ... + 17573427.

Almost surely, 244160388841772 is an apocalyptic number.

44160388841772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44160388841772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66584407658496).

44160388841772 is an abundant number, since it is smaller than the sum of its proper divisors (89008426475220).

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

44160388841772 is a wasteful number, since it uses less digits than its factorization.

44160388841772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726868 (or 2726863 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 44160388841772 in words is "forty-four trillion, one hundred sixty billion, three hundred eighty-eight million, eight hundred forty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2797 2898 5594 5796 8391 11188 16782 19579 25173 33564 39158 50346 58737 64331 78316 100692 117474 128662 176211 192993 234948 257324 352422 385986 450317 578979 704844 771972 900634 1157958 1350951 1801268 2315916 2701902 2724031 4052853 5403804 5448062 8105706 8172093 10896124 16211412 16344186 19068217 24516279 32688372 38136434 49032558 57204651 62652713 76272868 98065116 114409302 125305426 171613953 187958139 228818604 250610852 343227906 375916278 438568991 563874417 686455812 751832556 877137982 1127748834 1315706973 1754275964 2255497668 2631413946 3947120919 5262827892 7619114707 7894241838 15238229414 15788483676 22857344121 30476458828 45714688242 53333802949 68572032363 91429376484 106667605898 137144064726 160001408847 175239638261 213335211796 274288129452 320002817694 350479276522 480004226541 525718914783 640005635388 700958553044 960008453082 1051437829566 1226677467827 1577156744349 1920016906164 2102875659132 2453354935654 3154313488698 3680032403481 4906709871308 6308626977396 7360064806962 11040097210443 14720129613924 22080194420886 44160388841772