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44280106248672 = 2533721045920877
BaseRepresentation
bin10100001000101110001000…
…00000001110100111100000
312210210010200201221110112000
422010113010000032213200
521300441124144424142
6234101555555204000
712220063211634300
oct1204270400164740
9183703621843460
1044280106248672
11131220a6663138
124b71945ba6600
131b92799837bb8
14ad1250811600
1551bc61b0614c
hex2845c400e9e0

44280106248672 has 144 divisors (see below), whose sum is σ = 150236074915920. Its totient is φ = 12651458916096.

The previous prime is 44280106248667. The next prime is 44280106248683. The reversal of 44280106248672 is 27684260108244.

It is a happy number.

44280106248672 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 0 + 1 + 0 + 624 + 8 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×442801062486722 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522918103 + ... + 523002774.

It is an arithmetic number, because the mean of its divisors is an integer number (1043306075805).

Almost surely, 244280106248672 is an apocalyptic number.

44280106248672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

44280106248672 is an abundant number, since it is smaller than the sum of its proper divisors (105955968667248).

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

44280106248672 is a wasteful number, since it uses less digits than its factorization.

44280106248672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045920910 (or 1045920889 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 44280106248672 in words is "forty-four trillion, two hundred eighty billion, one hundred six million, two hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 1045920877 2091841754 3137762631 4183683508 6275525262 7321446139 8367367016 9413287893 12551050524 14642892278 16734734032 18826575786 21964338417 25102101048 28239863679 29285784556 33469468064 37653151572 43928676834 50204202096 51250122973 56479727358 58571569112 65893015251 75306303144 87857353668 100408404192 102500245946 112959454716 117143138224 131786030502 150612606288 153750368919 175714707336 197679045753 205000491892 225918909432 234286276448 263572061004 301225212576 307500737838 351429414672 395358091506 410000983784 451837818864 461251106757 527144122008 615001475676 702858829344 790716183012 820001967568 903675637728 922502213514 1054288244016 1230002951352 1383753320271 1581432366024 1640003935136 1845004427028 2108576488032 2460005902704 2767506640542 3162864732048 3690008854056 4920011805408 5535013281084 6325729464096 7380017708112 11070026562168 14760035416224 22140053124336 44280106248672