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4443324481920 = 273510322468267
BaseRepresentation
bin100000010101000101011…
…0001110000000110000000
3120201202222220220210021110
41000222022301300012000
51040244412031410140
613241122440123320
7636006502634052
oct100521261600600
916652886823243
104443324481920
111463448918525
125b9190466540
13263008190a9c
141150b541d8d2
157a8ab177380
hex40a8ac70180

4443324481920 has 128 divisors (see below), whose sum is σ = 14300603216640. Its totient is φ = 1173382723584.

The previous prime is 4443324481909. The next prime is 4443324481943. The reversal of 4443324481920 is 291844233444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4443324481920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11036374 + ... + 11431893.

It is an arithmetic number, because the mean of its divisors is an integer number (111723462630).

Almost surely, 24443324481920 is an apocalyptic number.

4443324481920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4443324481920 is an abundant number, since it is smaller than the sum of its proper divisors (9857278734720).

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

4443324481920 is a wasteful number, since it uses less digits than its factorization.

4443324481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22468392 (or 22468380 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 4443324481920 in words is "four trillion, four hundred forty-three billion, three hundred twenty-four million, four hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 128 160 192 206 240 309 320 384 412 480 515 618 640 824 960 1030 1236 1545 1648 1920 2060 2472 3090 3296 4120 4944 6180 6592 8240 9888 12360 13184 16480 19776 24720 32960 39552 49440 65920 98880 197760 22468267 44936534 67404801 89873068 112341335 134809602 179746136 224682670 269619204 337024005 359492272 449365340 539238408 674048010 718984544 898730680 1078476816 1348096020 1437969088 1797461360 2156953632 2314231501 2696192040 2875938176 3594922720 4313907264 4628463002 5392384080 6942694503 7189845440 8627814528 9256926004 10784768160 11571157505 13885389006 14379690880 18513852008 21569536320 23142315010 27770778012 34713472515 37027704016 43139072640 46284630020 55541556024 69426945030 74055408032 92569260040 111083112048 138853890060 148110816064 185138520080 222166224096 277707780120 296221632128 370277040160 444332448192 555415560240 740554080320 888664896384 1110831120480 1481108160640 2221662240960 4443324481920