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44480973912704 = 2771013831283353
BaseRepresentation
bin10100001110100100010001…
…01001100011101010000000
312211111100011112220001022022
422013102020221203222000
521312234013310201304
6234334135522301012
712240433666622120
oct1207221051435200
9184440145801268
1044480973912704
111319a30318014a
124ba48641b7768
131ba86cb83b434
14adac67c32c80
155220bb31aebe
hex287488a63a80

44480973912704 has 128 divisors (see below), whose sum is σ = 102543475322880. Its totient is φ = 18825233817600.

The previous prime is 44480973912691. The next prime is 44480973912719. The reversal of 44480973912704 is 40721937908444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34018292 + ... + 35301644.

It is an arithmetic number, because the mean of its divisors is an integer number (801120900960).

Almost surely, 244480973912704 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 44480973912704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51271737661440).

44480973912704 is an abundant number, since it is smaller than the sum of its proper divisors (58062501410176).

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

44480973912704 is a wasteful number, since it uses less digits than its factorization.

44480973912704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283858 (or 1283846 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 62.

The spelling of 44480973912704 in words is "forty-four trillion, four hundred eighty billion, nine hundred seventy-three million, nine hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 383 404 448 707 766 808 896 1414 1532 1616 2681 2828 3064 3232 5362 5656 6128 6464 10724 11312 12256 12928 21448 22624 24512 38683 42896 45248 49024 77366 85792 90496 154732 171584 270781 309464 343168 541562 618928 1083124 1237856 1283353 2166248 2475712 2566706 4332496 4951424 5133412 8664992 8983471 10266824 17329984 17966942 20533648 34659968 35933884 41067296 71867768 82134592 129618653 143735536 164269184 259237306 287471072 491524199 518474612 574942144 907330571 983048398 1036949224 1149884288 1814661142 1966096796 2073898448 3440669393 3629322284 3932193592 4147796896 6881338786 7258644568 7864387184 8295593792 13762677572 14517289136 15728774368 16591187584 27525355144 29034578272 31457548736 49643944099 55050710288 58069156544 62915097472 99287888198 110101420576 116138313088 198575776396 220202841152 347507608693 397151552792 440405682304 695015217386 794303105584 1390030434772 1588606211168 2780060869544 3177212422336 5560121739088 6354424844672 11120243478176 22240486956352 44480973912704