2240828006400
2,240,828,006,400 is an even composite number composed of five prime numbers multiplied together.
2240828006400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 2240828006400:
213 × 32 × 52 × 31 × 39217
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 39217)See below for interesting mathematical facts about the number 2240828006400 from the Numbermatics database.
Names of 2240828006400
- Cardinal: 2240828006400 can be written as Two trillion, two hundred forty billion, eight hundred twenty-eight million, six thousand, four hundred.
Scientific notation
- Scientific notation: 2.2408280064 × 1012
Factors of 2240828006400
Divisors of 2240828006400
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 128 144 150 155 160 180 186 192 200 225 240 248 256 279 288 300 310 320 360 372 384 400 450 465 480 496 512 558 576 600 620 640 720 744 768 775 800 900 930 960 992 1024 1116 1152 1200 1240 1280 1395 1440 1488 1536 1550 1600 1800 1860 1920 1984 2048 2232 2304 2325 2400 2480 2560 2790 2880 2976 3072 3100 3200 3600 3720 3840 3968 4096 4464 4608 4650 4800 4960 5120 5580 5760 5952 6144 6200 6400 6975 7200 7440 7680 7936 8192 8928 9216 9300 9600 9920 10240 11160 11520 11904 12288 12400 12800 13950 14400 14880 15360 15872 17856 18432 18600 19200 19840 20480 22320 23040 23808 24576 24800 25600 27900 28800 29760 30720 31744 35712 36864 37200 38400 39217 39680 40960 44640 46080 47616 49600 51200 55800 57600 59520 61440 63488 71424 73728 74400 76800 78434 79360 89280 92160 95232 99200 102400 111600 115200 117651 119040 122880 126976 142848 148800 153600 156868 158720 178560 184320 190464 196085 198400 204800 223200 230400 235302 238080 253952 285696 297600 307200 313736 317440 352953 357120 368640 380928 392170 396800 446400 460800 470604 476160 571392 588255 595200 614400 627472 634880 705906 714240 761856 784340 793600 892800 921600 941208 952320 980425 1142784 1176510 1190400 1215727 1254944 1269760 1411812 1428480 1568680 1587200 1764765 1785600 1843200 1882416 1904640 1960850 2285568 2353020 2380800 2431454 2509888 2823624 2856960 2941275 3137360 3174400 3529530 3571200 3647181 3764832 3809280 3921700 4706040 4761600 4862908 5019776 5647248 5713920 5882550 6078635 6274720 6348800 7059060 7142400 7294362 7529664 7843400 8823825 9412080 9523200 9725816 10039552 10941543 11294496 11427840 11765100 12157270 12549440 14118120 14284800 14588724 15059328 15686800 17647650 18235905 18824160 19046400 19451632 20079104 21883086 22588992 23530200 24314540 25098880 28236240 28569600 29177448 30118656 30393175 31373600 35295300 36471810 37648320 38903264 40158208 43766172 45177984 47060400 48629080 50197760 54707715 56472480 57139200 58354896 60237312 60786350 62747200 70590600 72943620 75296640 77806528 80316416 87532344 90355968 91179525 94120800 97258160 100395520 109415430 112944960 116709792 120474624 121572700 125494400 141181200 145887240 150593280 155613056 160632832 175064688 180711936 182359050 188241600 194516320 200791040 218830860 225889920 233419584 240949248 243145400 250988800 273538575 282362400 291774480 301186560 311226112 321265664 350129376 361423872 364718100 376483200 389032640 401582080 437661720 451779840 466839168 481898496 486290800 501977600 547077150 564724800 583548960 602373120 622452224 700258752 722847744 729436200 752966400 778065280 803164160 875323440 903559680 933678336 963796992 972581600 1003955200 1094154300 1129449600 1167097920 1204746240 1244904448 1400517504 1445695488 1458872400 1505932800 1556130560 1606328320 1750646880 1807119360 1867356672 1945163200 2007910400 2188308600 2258899200 2334195840 2409492480 2489808896 2801035008 2891390976 2917744800 3011865600 3112261120 3501293760 3614238720 3734713344 3890326400 4015820800 4376617200 4517798400 4668391680 4818984960 4979617792 5602070016 5835489600 6023731200 6224522240 7002587520 7228477440 7469426688 7780652800 8031641600 8753234400 9035596800 9336783360 9959235584 11204140032 11670979200 12047462400 12449044480 14005175040 14456954880 14938853376 15561305600 17506468800 18071193600 18673566720 22408280064 23341958400 24094924800 24898088960 28010350080 29877706752 31122611200 35012937600 36142387200 37347133440 44816560128 46683916800 49796177920 56020700160 62245222400 70025875200 72284774400 74694266880 89633120256 93367833600 112041400320 124490444800 140051750400 149388533760 186735667200 224082800640 248980889600 280103500800 373471334400 448165601280 560207001600 746942668800 1120414003200 2240828006400
- Sum of all divisors σ(n): 8285789538624
- Sum of proper divisors (its aliquot sum) s(n): 6044961532224
- 2240828006400 is an abundant number, because the sum of its proper divisors (6044961532224) is greater than itself. Its abundance is 3804133525824
Bases of 2240828006400
- Binary: 1000001001101110111100000111100000000000002
- Hexadecimal: 0x209BBC1E000
- Base-36: SLF74ZK0
Squares and roots of 2240828006400
- 2240828006400 squared (22408280064002) is 5021310154266598440960000
- 2240828006400 cubed (22408280064003) is 11251892422501298238565744902144000000
-
The
square root of 2240828006400 is 1496939.5466751489 -
The
cube root of 2240828006400 is 13085.8772230069
Scales and comparisons
How big is 2240828006400?- 2,240,828,006,400 seconds is equal to 71,251 years, 20 weeks, 5 days, 8 hours.
-
To count from 1 to 2,240,828,006,400 would take you about one hundred seventy-eight thousand, one hundred twenty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 2240828006400 cubic inches would be around 1090.5 feet tall.
Recreational maths with 2240828006400
- 2240828006400 backwards is 0046008280422
- 2240828006400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2240828006400's digits is 36
- More coming soon!
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