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4442020013120 = 265121730673719
BaseRepresentation
bin100000010100011110100…
…0001100110010001000000
3120201122122000022220111012
41000220331001212101000
51040234224110404440
613240345200540052
7635632253062034
oct100507501462100
916648560286435
104442020013120
111462939548838
125b8a87621628
13262b5ab4ca61
14114dd00981c4
157a8318a2e65
hex40a3d066440

4442020013120 has 112 divisors (see below), whose sum is σ = 10592550783360. Its totient is φ = 1774291943424.

The previous prime is 4442020013117. The next prime is 4442020013131. The reversal of 4442020013120 is 213100202444.

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, 1194410621 + ... + 1194414339.

It is an arithmetic number, because the mean of its divisors is an integer number (94576346280).

Almost surely, 24442020013120 is an apocalyptic number.

4442020013120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442020013120 is an abundant number, since it is smaller than the sum of its proper divisors (6150530770240).

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

4442020013120 is a wasteful number, since it uses less digits than its factorization.

4442020013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8020 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 4442020013120 its reverse (213100202444), we get a palindrome (4655120215564).

The spelling of 4442020013120 in words is "four trillion, four hundred forty-two billion, twenty million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1217 2434 3067 3719 4868 6085 6134 7438 9736 12170 12268 14876 15335 18595 19472 24340 24536 29752 30670 37190 38944 48680 49072 59504 61340 74380 77888 97360 98144 119008 122680 148760 194720 196288 238016 245360 297520 389440 490720 595040 981440 1190080 3732539 4526023 7465078 9052046 11406173 14930156 18104092 18662695 22630115 22812346 29860312 36208184 37325390 45260230 45624692 57030865 59720624 72416368 74650780 90520460 91249384 114061730 119441248 144832736 149301560 181040920 182498768 228123460 238882496 289665472 298603120 362081840 364997536 456246920 597206240 724163680 729995072 912493840 1194412480 1448327360 1824987680 3649975360 13881312541 27762625082 55525250164 69406562705 111050500328 138813125410 222101000656 277626250820 444202001312 555252501640 888404002624 1110505003280 2221010006560 4442020013120