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44106543364140 = 223259716831150089
BaseRepresentation
bin10100000011101010110101…
…10110010111100000101100
312210011112200211202101122100
422001311122312113200230
521240120200100123030
6233450133304215100
712201410155516545
oct1201653266274054
9183145624671570
1044106543364140
11130655309680a4
124b4418816a490
131b7c2c96c761a
14ac6aa78cb4cc
155174a45cb360
hex281d5ad9782c

44106543364140 has 144 divisors (see below), whose sum is σ = 135178056599040. Its totient is φ = 11639720632320.

The previous prime is 44106543364109. The next prime is 44106543364183. The reversal of 44106543364140 is 4146334560144.

44106543364140 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 6 + 543 + 3 + 64 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 293794216 + ... + 293944304.

It is an arithmetic number, because the mean of its divisors is an integer number (938736504160).

Almost surely, 244106543364140 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 44106543364140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67589028299520).

44106543364140 is an abundant number, since it is smaller than the sum of its proper divisors (91071513234900).

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

44106543364140 is a wasteful number, since it uses less digits than its factorization.

44106543364140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167032 (or 167027 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 44106543364140 in words is "forty-four trillion, one hundred six billion, five hundred forty-three million, three hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 16831 17460 33662 50493 67324 84155 100986 150089 151479 168310 201972 252465 300178 302958 336620 450267 504930 600356 605916 750445 757395 900534 1009860 1350801 1500890 1514790 1632607 1801068 2251335 2701602 3001780 3029580 3265214 4502670 4897821 5403204 6530428 6754005 8163035 9005340 9795642 13508010 14558633 14693463 16326070 19591284 24489105 27016020 29117266 29386926 32652140 43675899 48978210 58234532 58773852 72793165 73467315 87351798 97956420 131027697 145586330 146934630 174703596 218379495 262055394 291172660 293869260 436758990 524110788 655138485 873517980 1310276970 2526147959 2620553940 5052295918 7578443877 10104591836 12630739795 15156887754 22735331631 25261479590 30313775508 37892219385 45470663262 50522959180 75784438770 90941326524 113676658155 151568877540 227353316310 245036352023 454706632620 490072704046 735109056069 980145408092 1225181760115 1470218112138 2205327168207 2450363520230 2940436224276 3675545280345 4410654336414 4900727040460 7351090560690 8821308672828 11026635841035 14702181121380 22053271682070 44106543364140