138256403788800
138,256,403,788,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138256403788800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2376 divisors.
138256403788800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred seventy-six divisors.
Prime factorization of 138256403788800:
210 × 32 × 52 × 11 × 71 × 892 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 71 × 89 × 89 × 97)See below for interesting mathematical facts about the number 138256403788800 from the Numbermatics database.
Names of 138256403788800
- Cardinal: 138256403788800 can be written as One hundred thirty-eight trillion, two hundred fifty-six billion, four hundred three million, seven hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382564037888 × 1014
Factors of 138256403788800
Divisors of 138256403788800
- Number of divisors d(n): 2376
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 71 72 75 80 88 89 90 96 97 99 100 110 120 128 132 142 144 150 160 165 176 178 180 192 194 198 200 213 220 225 240 256 264 267 275 284 288 291 300 320 330 352 355 356 360 384 388 396 400 426 440 445 450 480 485 495 512 528 534 550 568 576 582 600 639 640 660 704 710 712 720 768 776 781 792 800 801 825 852 873 880 890 900 960 970 979 990 1024 1056 1065 1067 1068 1100 1136 1152 1164 1200 1278 1280 1320 1335 1408 1420 1424 1440 1455 1536 1552 1562 1584 1600 1602 1650 1704 1746 1760 1775 1780 1800 1920 1940 1958 1980 2112 2130 2134 2136 2200 2225 2272 2304 2328 2343 2400 2425 2475 2556 2560 2640 2670 2816 2840 2848 2880 2910 2937 3072 3104 3124 3168 3195 3200 3201 3204 3300 3408 3492 3520 3550 3560 3600 3840 3880 3905 3916 3960 4005 4224 4260 4268 4272 4365 4400 4450 4544 4608 4656 4686 4800 4850 4895 4950 5112 5120 5280 5325 5335 5340 5632 5680 5696 5760 5820 5874 6208 6248 6319 6336 6390 6400 6402 6408 6600 6675 6816 6887 6984 7029 7040 7100 7120 7200 7275 7680 7760 7810 7832 7920 7921 8010 8448 8520 8536 8544 8633 8730 8800 8811 8900 9088 9216 9312 9372 9600 9603 9700 9790 9900 10224 10560 10650 10670 10680 11264 11360 11392 11520 11640 11715 11748 12416 12496 12638 12672 12780 12800 12804 12816 13200 13350 13632 13774 13968 14058 14080 14200 14240 14400 14550 14685 15360 15520 15620 15664 15840 15842 15975 16005 16020 16896 17040 17072 17088 17266 17460 17600 17622 17800 18176 18624 18744 18957 19200 19206 19400 19525 19580 19800 20025 20448 20661 21120 21300 21340 21360 21825 22720 22784 23040 23280 23430 23496 23763 24475 24832 24992 25276 25344 25560 25600 25608 25632 25899 26400 26675 26700 27264 27548 27936 28116 28160 28400 28480 28800 29100 29370 31040 31240 31328 31595 31680 31684 31950 32010 32040 33792 34080 34144 34176 34435 34532 34920 35145 35200 35244 35600 36352 37248 37488 37914 38400 38412 38800 39050 39160 39600 39605 40050 40896 41322 42240 42600 42680 42720 43165 43650 44055 45440 45568 46080 46560 46860 46992 47526 48015 48950 49664 49984 50552 50688 51120 51216 51264 51798 52800 53350 53400 54528 55096 55872 56232 56320 56800 56871 56960 57600 58200 58575 58740 61983 62080 62480 62656 63190 63360 63368 63900 64020 64080 68160 68288 68352 68870 69064 69509 69840 70290 70400 70488 71200 71289 72704 73425 74496 74976 75757 75828 76800 76824 77600 77697 78100 78320 79200 79210 80025 80100 81792 82644 84480 85200 85360 85440 86330 87131 87300 88110 90880 91136 93120 93720 93984 94785 94963 95052 96030 97900 99328 99968 101104 101376 102240 102432 102528 103305 103596 105600 106700 106800 109056 110192 111744 112464 113600 113742 113920 115200 116400 117150 117480 118815 123966 124160 124960 125312 126380 126720 126736 127800 128040 128160 129495 136320 136576 136704 137740 138128 139018 139680 140580 140800 140976 142400 142578 146850 148992 149952 151514 151656 153648 155200 155394 156200 156640 157975 158400 158420 160050 160200 163584 165288 168960 170400 170720 170880 172175 172660 174262 174600 175725 176220 181760 186240 187440 187968 189570 189926 190104 192060 195800 198025 199936 202208 204480 204864 205056 206610 207192 208527 211200 213400 213600 215825 218112 220275 220384 223488 224928 227200 227271 227484 227840 230400 232800 234300 234960 237630 240075 247932 248320 249920 250624 252760 253440 253472 255600 256080 256320 258990 261393 272640 273152 273408 275480 276256 278036 279360 281160 281600 281952 284355 284800 284889 285156 293700 297984 299904 303028 303312 307296 309915 310400 310788 312400 313280 315950 316800 316840 320100 320400 327168 330576 340800 341440 341760 344350 345320 347545 348524 349200 351450 352440 356445 363520 372480 374880 375936 378785 379140 379852 380208 384120 388485 391600 396050 399872 404416 408960 409728 410112 413220 414384 417054 422400 426800 427200 431650 435655 440550 440768 446976 449856 454400 454542 454968 455680 465600 468600 469920 473925 474815 475260 480150 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43191628800 43205126184 43272739840 43641541600 44256211200 44541367200 45005339775 47074022400 47510791680 48005695760 48545085600 48681832320 49096734300 51781424640 52369849920 54006407730 54090924800 55861173248 57012950016 57606834912 59008281600 59388489600 60007119700 60852290400 62137709568 62843819904 64726780800 64787443200 64909109760 65462312400 69826466560 70611033600 71266187520 72008543640 76809113216 77672136960 77890931712 78554774880 79184652800 81136387200 83791759872 86302374400 86410252368 87283083200 88512422400 89082734400 90010679550 95021583360 96011391520 97090171200 97363664640 98193468600 103562849280 104739699840 108012815460 108181849600 115213669824 118776979200 120014239400 121704580800 125687639808 129453561600 129574886400 129818219520 130924624800 135016019325 139652933120 141222067200 142532375040 144017087280 153618226432 155344273920 157109549760 158369305600 162272774400 167583519744 172604748800 172820504736 174566166400 177024844800 178165468800 180021359100 192022783040 194180342400 194727329280 196386937200 209479399680 216025630920 216363699200 230427339648 237553958400 240028478800 243409161600 251375279616 258907123200 261849249600 270032038650 279305866240 285064750080 288034174560 307236452864 310688547840 314219099520 324545548800 345641009472 349132332800 356330937600 360042718200 384045566080 388360684800 389454658560 392773874400 418958799360 432051261840 460854679296 475107916800 480056957600 486818323200 502750559232 517814246400 523698499200 540064077300 576068349120 614472905728 628438199040 649091097600 691282018944 698264665600 712661875200 720085436400 768091132160 776721369600 785547748800 837917598720 864102523680 921709358592 960113915200 973636646400 1047396998400 1080128154600 1152136698240 1256876398080 1382564037888 1396529331200 1425323750400 1440170872800 1536182264320 1553442739200 1571095497600 1728205047360 1843418717184 1920227830400 1947273292800 2094793996800 2160256309200 2304273396480 2513752796160 2765128075776 2880341745600 3072364528640 3142190995200 3456410094720 3840455660800 4189587993600 4320512618400 4608546792960 5530256151552 5760683491200 6284381990400 6912820189440 7680911321600 8641025236800 9217093585920 11521366982400 12568763980800 13825640378880 15361822643200 17282050473600 23042733964800 27651280757760 34564100947200 46085467929600 69128201894400 138256403788800
- Sum of all divisors σ(n): 559563578263872
- Sum of proper divisors (its aliquot sum) s(n): 421307174475072
- 138256403788800 is an abundant number, because the sum of its proper divisors (421307174475072) is greater than itself. Its abundance is 283050770686272
Bases of 138256403788800
- Binary: 111110110111110010100111101010111110100000000002
- Hexadecimal: 0x7DBE53D5F400
- Base-36: 1D0A455340
Squares and roots of 138256403788800
- 138256403788800 squared (1382564037888002) is 19114833188611710995005440000
- 138256403788800 cubed (1382564037888003) is 2642748095680256145021920732692611072000000
-
The
square root of 138256403788800 is 11758248.3299511921 -
The
cube root of 138256403788800 is 51708.4776703637
Scales and comparisons
How big is 138256403788800?- 138,256,403,788,800 seconds is equal to 4,396,125 years, 51 weeks, 1 day, 16 hours.
-
To count from 1 to 138,256,403,788,800 would take you about ten million, nine hundred ninety thousand, three hundred fourteen 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 138256403788800 cubic inches would be around 4309 feet tall.
Recreational maths with 138256403788800
- 138256403788800 backwards is 008887304652831
- The number of decimal digits it has is: 15
- The sum of 138256403788800's digits is 63
- More coming soon!
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The information we have on file for 138256403788800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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