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4404440040240 = 243540897448733
BaseRepresentation
bin100000000010111110100…
…0101011000001100110000
3120121001121222222111002210
41000011331011120030300
51034130243122241430
613211212151412120
7633132062425632
oct100057505301460
916531558874083
104404440040240
111448a04640a09
125b173a084040
1325c44c278a06
14113267080a52
157988259b2b0
hex4017d158330

4404440040240 has 80 divisors (see below), whose sum is σ = 13654128410208. Its totient is φ = 1174486007808.

The previous prime is 4404440040227. The next prime is 4404440040271. The reversal of 4404440040240 is 420400444044.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4404440040198 and 4404440040207.

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, 9590914 + ... + 10039646.

Almost surely, 24404440040240 is an apocalyptic number.

4404440040240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404440040240 is an abundant number, since it is smaller than the sum of its proper divisors (9249688369968).

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

4404440040240 is a wasteful number, since it uses less digits than its factorization.

4404440040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489646 (or 489640 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 4404440040240 its reverse (420400444044), we get a palindrome (4824840484284).

The spelling of 4404440040240 in words is "four trillion, four hundred four billion, four hundred forty million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 40897 81794 122691 163588 204485 245382 327176 408970 448733 490764 613455 654352 817940 897466 981528 1226910 1346199 1635880 1794932 1963056 2243665 2453820 2692398 3271760 3589864 4487330 4907640 5384796 6730995 7179728 8974660 9815280 10769592 13461990 17949320 21539184 26923980 35898640 53847960 107695920 18351833501 36703667002 55055500503 73407334004 91759167505 110111001006 146814668008 183518335010 220222002012 275277502515 293629336016 367036670020 440444004024 550555005030 734073340040 880888008048 1101110010060 1468146680080 2202220020120 4404440040240