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4442330102240 = 255312916730707
BaseRepresentation
bin100000010100100111110…
…0000011111100111100000
3120201200102121211001210102
41000221033200133213200
51040240343001232430
613240440035121532
7635643036561662
oct100511740374740
916650377731712
104442330102240
111462a88593338
125b8b534432a8
13262baa170b44
1411501d336532
157a84dc06345
hex40a4f81f9e0

4442330102240 has 96 divisors (see below), whose sum is σ = 10834277658624. Its totient is φ = 1719496696320.

The previous prime is 4442330102143. The next prime is 4442330102323. The reversal of 4442330102240 is 422010332444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144652967 + ... + 144683673.

It is an arithmetic number, because the mean of its divisors is an integer number (112857058944).

Almost surely, 24442330102240 is an apocalyptic number.

4442330102240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442330102240 is an abundant number, since it is smaller than the sum of its proper divisors (6391947556384).

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

4442330102240 is a wasteful number, since it uses less digits than its factorization.

4442330102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59920 (or 59912 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 4442330102240 its reverse (422010332444), we get a palindrome (4864340434684).

The spelling of 4442330102240 in words is "four trillion, four hundred forty-two billion, three hundred thirty million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 29167 30707 58334 61414 116668 122828 145835 153535 233336 245656 291670 307070 466672 491312 583340 614140 904177 933344 951917 982624 1166680 1228280 1808354 1903834 2333360 2456560 3616708 3807668 4520885 4666720 4759585 4913120 7233416 7615336 9041770 9519170 14466832 15230672 18083540 19038340 28933664 30461344 36167080 38076680 72334160 76153360 144668320 152306720 895631069 1791262138 3582524276 4478155345 7165048552 8956310690 14330097104 17912621380 27764563139 28660194208 35825242760 55529126278 71650485520 111058252556 138822815695 143300971040 222116505112 277645631390 444233010224 555291262780 888466020448 1110582525560 2221165051120 4442330102240