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444051543040332 = 22319323327231277
BaseRepresentation
bin110010011110111001100111…
…0011111000010000101001100
32011020020220122112012120102020
41210331303032133002011030
5431200320030004242312
64212230243535330140
7162350444122433013
oct14475631637020514
92136226575176366
10444051543040332
11119541224712427
12419781b7380950
13160a0b5b262576
147b922d069ba7a
153650bedd9778c
hex193dcce7c214c

444051543040332 has 96 divisors (see below), whose sum is σ = 1093725725460480. Its totient is φ = 140220185424192.

The previous prime is 444051543040283. The next prime is 444051543040421. The reversal of 444051543040332 is 233040345150444.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1919883078 + ... + 1920114354.

It is an arithmetic number, because the mean of its divisors is an integer number (11392976306880).

Almost surely, 2444051543040332 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 444051543040332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546862862730240).

444051543040332 is an abundant number, since it is smaller than the sum of its proper divisors (649674182420148).

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

444051543040332 is a wasteful number, since it uses less digits than its factorization.

444051543040332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254668 (or 254628 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

Adding to 444051543040332 its reverse (233040345150444), we get a palindrome (677091888190776).

The spelling of 444051543040332 in words is "four hundred forty-four trillion, fifty-one billion, five hundred forty-three million, forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 4332 6859 13718 20577 23327 27436 41154 46654 69981 82308 93308 139962 231277 279924 443213 462554 693831 886426 925108 1329639 1387662 1772852 2659278 2775324 4394263 5318556 8421047 8788526 13182789 16842094 17577052 25263141 26365578 33684188 50526282 52731156 83490997 101052564 159999893 166981994 250472991 319999786 333963988 479999679 500945982 639999572 959999358 1001891964 1586328943 1919998716 3172657886 4758986829 5394998579 6345315772 9517973658 10789997158 16184995737 19035947316 21579994316 32369991474 64739982948 102504973001 205009946002 307514919003 410019892004 615029838006 1230059676012 1947594487019 3895188974038 5842783461057 7790377948076 11685566922114 23371133844228 37004295253361 74008590506722 111012885760083 148017181013444 222025771520166 444051543040332