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44024442422240 = 2557192068817783
BaseRepresentation
bin10100000001010001111010…
…10000001000001111100000
312202212200210002100102011102
422000220331100020033200
521232244024230002430
6233344314420133532
712162442503156110
oct1200507520101740
9182780702312142
1044024442422240
111303373003a2a5
124b302948372a8
131b74644235027
14ac2b19add040
1551529b95b345
hex280a3d4083e0

44024442422240 has 96 divisors (see below), whose sum is σ = 125122099576320. Its totient is φ = 14299668509184.

The previous prime is 44024442422209. The next prime is 44024442422243. The reversal of 44024442422240 is 4222424442044.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 44024442422194 and 44024442422203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44024442422243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034387612 + ... + 1034430171.

It is an arithmetic number, because the mean of its divisors is an integer number (1303355203920).

Almost surely, 244024442422240 is an apocalyptic number.

44024442422240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44024442422240 is an abundant number, since it is smaller than the sum of its proper divisors (81097657154080).

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

44024442422240 is a wasteful number, since it uses less digits than its factorization.

44024442422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068817824 (or 2068817816 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 38.

Adding to 44024442422240 its reverse (4222424442044), we get a palindrome (48246866864284).

The spelling of 44024442422240 in words is "forty-four trillion, twenty-four billion, four hundred forty-two million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 10640 21280 2068817783 4137635566 8275271132 10344088915 14481724481 16550542264 20688177830 28963448962 33101084528 39307537877 41376355660 57926897924 66202169056 72408622405 78615075754 82752711320 115853795848 144817244810 157230151508 165505422640 196537689385 231707591696 275152765139 289634489620 314460303016 331010845280 393075378770 463415183392 550305530278 579268979240 628920606032 786150757540 1100611060556 1158537958480 1257841212064 1375763825695 1572301515080 2201222121112 2317075916960 2751527651390 3144603030160 4402444242224 5503055302780 6289206060320 8804888484448 11006110605560 22012221211120 44024442422240