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44020030240 = 255615098861
BaseRepresentation
bin101000111111110011…
…000101101100100000
311012121211110020021101
4220333303011230200
51210123111431430
632120022004144
73115600040404
oct507763055440
9135554406241
1044020030240
111773a18328a
128646276654
1341c6b98094
1421b8457104
1512298b6dca
hexa3fcc5b20

44020030240 has 96 divisors (see below), whose sum is σ = 105921814320. Its totient is φ = 17283379200.

The previous prime is 44020030181. The next prime is 44020030261. The reversal of 44020030240 is 4203002044.

44020030240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27914389776 + 16105640464 = 167076^2 + 126908^2 .

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, 4963410 + ... + 4972270.

Almost surely, 244020030240 is an apocalyptic number.

44020030240 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 44020030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52960907160).

44020030240 is an abundant number, since it is smaller than the sum of its proper divisors (61901784080).

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

44020030240 is a wasteful number, since it uses less digits than its factorization.

44020030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9446 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 44020030240 its reverse (4203002044), we get a palindrome (48223032284).

The spelling of 44020030240 in words is "forty-four billion, twenty million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 509 610 976 1018 1220 1952 2036 2440 2545 4072 4880 5090 8144 8861 9760 10180 16288 17722 20360 31049 35444 40720 44305 62098 70888 81440 88610 124196 141776 155245 177220 248392 283552 310490 354440 496784 540521 620980 708880 993568 1081042 1241960 1417760 2162084 2483920 2702605 4324168 4510249 4967840 5405210 8648336 9020498 10810420 17296672 18040996 21620840 22551245 36081992 43241680 45102490 72163984 86483360 90204980 144327968 180409960 275125189 360819920 550250378 721639840 1100500756 1375625945 2201001512 2751251890 4402003024 5502503780 8804006048 11005007560 22010015120 44020030240