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44443112443020 = 223256111713456569
BaseRepresentation
bin10100001101011101101111…
…11011100000110010001100
312211100201102220212002220100
422012232313323200302030
521311123443241134040
6234304514535451100
712234623520502434
oct1206566773406214
9184321386762810
1044443112443020
1113185244387635
124b99458526a90
131ba4c76847635
14ad90b56a12c4
1552110245cb30
hex286bb7ee0c8c

44443112443020 has 144 divisors (see below), whose sum is σ = 137137838554080. Its totient is φ = 11647251532800.

The previous prime is 44443112443003. The next prime is 44443112443043. The reversal of 44443112443020 is 2034421134444.

44443112443020 is a `hidden beast` number, since 4 + 44 + 43 + 1 + 124 + 430 + 20 = 666.

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, 11129296 + ... + 14585864.

It is an arithmetic number, because the mean of its divisors is an integer number (952346101070).

Almost surely, 244443112443020 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 44443112443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68568919277040).

44443112443020 is an abundant number, since it is smaller than the sum of its proper divisors (92694726111060).

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

44443112443020 is a wasteful number, since it uses less digits than its factorization.

44443112443020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457816 (or 3457811 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 44443112443020 its reverse (2034421134444), we get a palindrome (46477533577464).

The spelling of 44443112443020 in words is "forty-four trillion, four hundred forty-three billion, one hundred twelve million, four hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1171 1220 1830 2196 2342 2745 3513 3660 4684 5490 5855 7026 10539 10980 11710 14052 17565 21078 23420 35130 42156 52695 70260 71431 105390 142862 210780 214293 285724 357155 428586 642879 714310 857172 1071465 1285758 1428620 2142930 2571516 3214395 3456569 4285860 6428790 6913138 10369707 12857580 13826276 17282845 20739414 31109121 34565690 41478828 51848535 62218242 69131380 103697070 124436484 155545605 207394140 210850709 311091210 421701418 622182420 632552127 843402836 1054253545 1265104254 1897656381 2108507090 2530208508 3162760635 3795312762 4047642299 4217014180 6325521270 7590625524 8095284598 9488281905 12142926897 12651042540 16190569196 18976563810 20238211495 24285853794 36428780691 37953127620 40476422990 48571707588 60714634485 72857561382 80952845980 121429268970 145715122764 182143903455 242858537940 246906180239 364287806910 493812360478 728575613820 740718540717 987624720956 1234530901195 1481437081434 2222155622151 2469061802390 2962874162868 3703592703585 4444311244302 4938123604780 7407185407170 8888622488604 11110778110755 14814370814340 22221556221510 44443112443020