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44144222414220 = 223253121320324533
BaseRepresentation
bin10100000100110001000001…
…01100100010010110001100
312210022010221202112110101200
422002120200230202112030
521241224331414223340
6233515324213105500
712204212661252525
oct1202304054422614
9183263852473350
1044144222414220
111307a506796105
124b4b542928290
131b82a2297b126
14ac883db3584c
1551845c454330
hex282620b2258c

44144222414220 has 144 divisors (see below), whose sum is σ = 133994326388832. Its totient is φ = 11763867248640.

The previous prime is 44144222414209. The next prime is 44144222414251. The reversal of 44144222414220 is 2241422244144.

44144222414220 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 4 + 2 + 224 + 1 + 422 + 0 = 666.

It is a super-2 number, since 2×441442224142202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1799369074 + ... + 1799393606.

It is an arithmetic number, because the mean of its divisors is an integer number (930516155478).

Almost surely, 244144222414220 is an apocalyptic number.

It is an amenable number.

44144222414220 is an abundant number, since it is smaller than the sum of its proper divisors (89850103974612).

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

44144222414220 is a wasteful number, since it uses less digits than its factorization.

44144222414220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30872 (or 30867 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 44144222414220 its reverse (2241422244144), we get a palindrome (46385644658364).

The spelling of 44144222414220 in words is "forty-four trillion, one hundred forty-four billion, two hundred twenty-two million, four hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3121 3203 6242 6406 9363 9609 12484 12812 15605 16015 18726 19218 24533 28089 28827 31210 32030 37452 38436 46815 48045 49066 56178 57654 62420 64060 73599 93630 96090 98132 112356 115308 122665 140445 144135 147198 187260 192180 220797 245330 280890 288270 294396 367995 441594 490660 561780 576540 735990 883188 1103985 1471980 2207970 4415940 9996563 19993126 29989689 39986252 49982815 59979378 76567493 78579199 89969067 99965630 119958756 149948445 153134986 157158398 179938134 199931260 229702479 235737597 299896890 306269972 314316796 359876268 382837465 392895995 449845335 459404958 471475194 599793780 689107437 707212791 765674930 785791990 899690670 918809916 942950388 1148512395 1178687985 1378214874 1414425582 1531349860 1571583980 1799381340 2297024790 2357375970 2756429748 2828851164 3445537185 3536063955 4594049580 4714751940 6891074370 7072127910 13782148740 14144255820 245245680079 490491360158 735737040237 980982720316 1226228400395 1471474080474 2207211120711 2452456800790 2942948160948 3678685201185 4414422241422 4904913601580 7357370402370 8828844482844 11036055603555 14714740804740 22072111207110 44144222414220