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2441425423200 = 253522633867911
BaseRepresentation
bin100011100001110000010…
…010111000101101100000
322122101202010122202111020
4203201300102320231200
5310000014402020300
65105324135445440
7341246540456451
oct43416022705540
98571663582436
102441425423200
11861448004825
123351b8526880
131492c136543a
148624666d128
15437915c58a0
hex238704b8b60

2441425423200 has 144 divisors (see below), whose sum is σ = 7977057935616. Its totient is φ = 648571148800.

The previous prime is 2441425423147. The next prime is 2441425423259. The reversal of 2441425423200 is 23245241442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1302756 + ... + 2565155.

It is an arithmetic number, because the mean of its divisors is an integer number (55396235664).

Almost surely, 22441425423200 is an apocalyptic number.

2441425423200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441425423200 is an abundant number, since it is smaller than the sum of its proper divisors (5535632512416).

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

2441425423200 is a wasteful number, since it uses less digits than its factorization.

2441425423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868197 (or 3868184 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 2441425423200 in words is "two trillion, four hundred forty-one billion, four hundred twenty-five million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 263 300 400 480 526 600 789 800 1052 1200 1315 1578 2104 2400 2630 3156 3945 4208 5260 6312 6575 7890 8416 10520 12624 13150 15780 19725 21040 25248 26300 31560 39450 42080 52600 63120 78900 105200 126240 157800 210400 315600 631200 3867911 7735822 11603733 15471644 19339555 23207466 30943288 38679110 46414932 58018665 61886576 77358220 92829864 96697775 116037330 123773152 154716440 185659728 193395550 232074660 290093325 309432880 371319456 386791100 464149320 580186650 618865760 773582200 928298640 1017260593 1160373300 1547164400 1856597280 2034521186 2320746600 3051781779 3094328800 4069042372 4641493200 5086302965 6103563558 8138084744 9282986400 10172605930 12207127116 15258908895 16276169488 20345211860 24414254232 25431514825 30517817790 32552338976 40690423720 48828508464 50863029650 61035635580 76294544475 81380847440 97657016928 101726059300 122071271160 152589088950 162761694880 203452118600 244142542320 305178177900 406904237200 488285084640 610356355800 813808474400 1220712711600 2441425423200