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44535044121344 = 287215492291999
BaseRepresentation
bin10100010000001000111110…
…11111000010001100000000
312211200111201210112020112022
422020010133133002030000
521314130232243340334
6234415041122421012
712244356624044300
oct1210043737021400
9184614653466468
1044535044121344
111321022a420197
124bb3234201768
131bb083791232a
14add716d51600
155236d31a382e
hex28811f7c2300

44535044121344 has 108 divisors (see below), whose sum is σ = 103476580200000. Its totient is φ = 19074117371904.

The previous prime is 44535044121311. The next prime is 44535044121361. The reversal of 44535044121344 is 44312144053544.

It is a junction number, because it is equal to n+sod(n) for n = 44535044121295 and 44535044121304.

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 11 ways as a sum of consecutive naturals, for example, 18284657 + ... + 20576655.

Almost surely, 244535044121344 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 44535044121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51738290100000).

44535044121344 is an abundant number, since it is smaller than the sum of its proper divisors (58941536078656).

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

44535044121344 is a wasteful number, since it uses less digits than its factorization.

44535044121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293578 (or 2293557 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 44.

Adding to 44535044121344 its reverse (44312144053544), we get a palindrome (88847188174888).

The spelling of 44535044121344 in words is "forty-four trillion, five hundred thirty-five billion, forty-four million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1549 1568 1792 3098 3136 6196 6272 10843 12392 12544 21686 24784 43372 49568 75901 86744 99136 151802 173488 198272 303604 346976 396544 607208 693952 1214416 1387904 2291999 2428832 2775808 4583998 4857664 9167996 9715328 16043993 18335992 19430656 32087986 36671984 64175972 73343968 112307951 128351944 146687936 224615902 256703888 293375872 449231804 513407776 586751744 898463608 1026815552 1796927216 2053631104 3550306451 3593854432 4107262208 7100612902 7187708864 14201225804 14375417728 24852145157 28402451608 28750835456 49704290314 56804903216 99408580628 113609806432 173965016099 198817161256 227219612864 347930032198 397634322512 454439225728 695860064396 795268645024 908878451456 1391720128792 1590537290048 2783440257584 3181074580096 5566880515168 6362149160192 11133761030336 22267522060672 44535044121344