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44442040240 = 24513157272183
BaseRepresentation
bin101001011000111100…
…111011011110110000
311020201020112120011101
4221120330323132300
51212004130241430
632225535054144
73132213052303
oct513074733660
9136636476141
1044442040240
1117936411684
128743671354
134263444940
14221850ab3a
151251976dca
hexa58f3b7b0

44442040240 has 80 divisors (see below), whose sum is σ = 111985207488. Its totient is φ = 16304790528.

The previous prime is 44442040199. The next prime is 44442040267. The reversal of 44442040240 is 4204024444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×444420402403 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44442040199 and 44442040208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27189 + ... + 299371.

Almost surely, 244442040240 is an apocalyptic number.

44442040240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44442040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55992603744).

44442040240 is an abundant number, since it is smaller than the sum of its proper divisors (67543167248).

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

44442040240 is a wasteful number, since it uses less digits than its factorization.

44442040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272366 (or 272360 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 44442040240 its reverse (4204024444), we get a palindrome (48646064684).

The spelling of 44442040240 in words is "forty-four billion, four hundred forty-two million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 157 208 260 314 520 628 785 1040 1256 1570 2041 2512 3140 4082 6280 8164 10205 12560 16328 20410 32656 40820 81640 163280 272183 544366 1088732 1360915 2177464 2721830 3538379 4354928 5443660 7076758 10887320 14153516 17691895 21774640 28307032 35383790 42732731 56614064 70767580 85465462 141535160 170930924 213663655 283070320 341861848 427327310 555525503 683723696 854654620 1111051006 1709309240 2222102012 2777627515 3418618480 4444204024 5555255030 8888408048 11110510060 22221020120 44442040240