137834814125671680

Names of 137834814125671680

• Cardinal: 137834814125671680 can be written as One hundred thirty-seven quadrillion, eight hundred thirty-four trillion, eight hundred fourteen billion, one hundred twenty-five million, six hundred seventy-one thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.3783481412567168 × 10¹⁷

Factors of 137834814125671680

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 39033

Divisors of 137834814125671680

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 173 192 205 240 246 256 307 320 328 346 384 410 433 480 492 519 614 615 640 656 692 768 820 865 866 921 960 984 1038 1228 1230 1280 1299 1312 1384 1535 1640 1730 1732 1842 1920 1968 2076 2165 2456 2460 2595 2598 2624 2768 3070 3280 3460 3464 3684 3840 3936 4152 4330 4605 4912 4920 5190 5196 5248 5536 6140 6495 6560 6920 6928 7093 7368 7872 8304 8660 9210 9824 9840 10380 10392 10496 11072 12280 12587 12990 13120 13840 13856 14186 14736 15744 16608 17320 17753 18420 19648 19680 20760 20784 21279 22144 24560 25174 25980 26240 27680 27712 28372 29472 31488 33216 34640 35465 35506 36840 37761 38069 39296 39360 41520 41568 42558 44288 49120 50348 51960 52480 53111 53259 55360 55424 56744 58944 62935 66432 69280 70930 71012 73680 74909 75522 76138 78592 78720 83040 83136 85116 88765 98240 100696 103920 106222 106395 106518 110720 110848 113488 114207 117888 125870 132864 132931 138560 141860 142024 147360 149818 151044 152276 157440 159333 166080 166272 170232 177530 188805 190345 196480 201392 207840 212444 212790 213036 221440 224727 226976 228414 235776 251740 265555 265862 266295 277120 283720 284048 294720 299636 302088 304552 318666 332160 332544 340464 355060 374545 377610 380690 392960 398793 402784 415680 424888 425580 426072 449454 453952 456828 503480 531110 531724 532590 554240 567440 568096 571035 589440 599272 604176 609104 637332 664320 664655 680928 710120 749090 755220 761380 796665 797586 805568 831360 849776 851160 852144 898908 907904 913656 1006960 1062220 1063448 1065180 1123635 1134880 1136192 1142070 1178880 1198544 1208352 1218208 1274664 1329310 1361856 1420240 1498180 1510440 1522760 1560829 1593330 1595172 1611136 1662720 1699552 1702320 1704288 1797816 1815808 1827312 1993965 2013920 2124440 2126896 2130360 2177551 2247270 2269760 2272384 2284140 2397088 2416704 2436416 2549328 2658620 2723712 2840480 2996360 3020880 3045520 3071269 3121658 3186660 3190344 3222272 3399104 3404640 3408576 3595632 3654624 3987930 4027840 4248880 4253792 4260720 4355102 4494540 4539520 4544768 4568280 4682487 4794176 4833408 4872832 5098656 5317240 5447424 5450171 5680960 5992720 6041760 6091040 6142538 6243316 6373320 6380688 6532653 6585937 6798208 6809280 6817152 7191264 7309248 7804145 7975860 8055680 8497760 8507584 8521440 8710204 8989080 9079040 9136560 9213807 9364974 9588352 9666816 9745664 10197312 10634480 10887755 10900342 11361920 11687183 11985440 12083520 12182080 12285076 12486632 12746640 12761376 13065306 13171874 13596416 13618560 13634304 14382528 14618496 15356345 15608290 15951720 16111360 16350513 16483877 16995520 17015168 17042880 17420408 17978160 18273120 18427614 18729948 19176704 19757811 20394624 21268960 21775510 21800684 22723840 22997063 23374366 23412435 23970880 24167040 24364160 24570152 24973264 25493280 25522752 26130612 26343748 27237120 27250855 28765056 29236992 30712690 31216580 31903440 32663265 32701026 32929685 32967754 33991040 34030336 34085760 34840816 35061549 35956320 36546240 36855228 37459896 39515622 40789248 42537920 43551020 43601368 45994126 46069035 46748732 46824870 47941760 48334080 48728320 49140304 49451631 49946528 50986560 51045504 52261224 52687496 54501710 57530112 58435915 61425380 62433160 63806880 65326530 65402052 65859370 65935508 67982080 68171520 68991189 69681632 70123098 71912640 73092480 73710456 74919792 79031244 81752565 82419385 85075840 87102040 87202736 91988252 92138070 93497464 93649740 95883520 98280608 98789055 98903262 99893056 101973120 102091008 104522448 105374992 109003420 114985315 116871830 122850760 124866320 127613760 130653060 130804104 131718740 131871016 137982378 139363264 140246196 143825280 146184960 147420912 149839584 158062488 163505130 164838770 170151680 174204080 174405472 175307745 183976504 184276140 186994928 187299480 196561216 197578110 197806524 199786112 203946240 209044896 210749984 218006840 229970630 233743660 245701520 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1750950382694 1753802093415 1810328799360 1825094861440 1840030091520 1870722232976 1941007352640 1943251291776 1989532536456 2074825597990 2190113833728 2338402791220 2429064114720 2486915670570 2489790717588 2588009803520 2595221594880 2626425574041 2652710048608 2737642292160 2806083349464 3112238396985 3238752152960 3315887560760 3319720956784 3501900765388 3507604186830 3620657598720 3650189722880 3741444465952 3882014705280 3886502583552 3979065072912 4149651195980 4377375956735 4676805582440 4858128229440 4973831341140 4979581435176 5252851148082 5305420097216 5475284584320 5612166698928 6224476793970 6477504305920 6631775121520 6639441913568 7003801530776 7015208373660 7482888931904 7764029410560 7958130145824 8299302391960 8754751913470 9353611164880 9716256458880 9947662682280 9959162870352 10505702296164 10610840194432 10950569168640 11224333397856 12448953587940 13132127870205 13263550243040 13278883827136 14007603061552 14030416747320 14965777863808 15916260291648 16598604783920 17509503826940 18707222329760 19432512917760 19895325364560 19918325740704 21011404592328 21221680388864 22448666795712 24897907175880 26264255740410 26527100486080 26557767654272 28015206123104 28060833494640 29931555727616 31832520583296 33197209567840 35019007653880 35894482845227 37414444659520 39790650729120 39836651481408 42022809184656 44897333591424 49795814351760 52528511480820 53054200972160 53115535308544 56030412246208 56121666989280 63665041166592 66394419135680 70038015307760 71788965690454 74828889319040 79581301458240 79673302962816 84045618369312 89794667182848 99591628703520 105057022961640 106108401944320 107683448535681 112060824492416 112243333978560 132788838271360 140076030615520 143577931380908 149657778638080 159162602916480 159346605925632 168091236738624 179472414226135 199183257407040 210114045923280 215366897071362 224121648984832 224486667957120 265577676542720 280152061231040 287155862761816 318325205832960 336182473477248 358944828452270 398366514814080 420228091846560 430733794142724 448973335914240 538417242678405 560304122462080 574311725523632 672364946954496 717889656904540 796733029628160 840456183693120 861467588285448 1076834485356810 1120608244924160 1148623451047264 1435779313809080 1680912367386240 1722935176570896 2153668970713620 2297246902094528 2871558627618160 3361824734772480 3445870353141792 4307337941427240 4594493804189056 5743117255236320 6891740706283584 8614675882854480 9188987608378112 11486234510472640 13783481412567168 17229351765708960 22972469020945280 27566962825134336 34458703531417920 45944938041890560 68917407062835840 137834814125671680
• Sum of all divisors σ(n): 456093626444628480
• Sum of proper divisors (its aliquot sum) s(n): 318258812318956800
• 137834814125671680 is an abundant number, because the sum of its proper divisors (318258812318956800) is greater than itself. Its abundance is 180423998193285120

Bases of 137834814125671680

• Binary: 111101001101100000000100001111101101001001000010100000000₂
• Hexadecimal: 0x1E9B0087DA48500
• Base-36: 11P6D3GKZH1C

Squares and roots of 137834814125671680

• 137834814125671680 squared (137834814125671680²) is 18998435985058461291528411154022400
• 137834814125671680 cubed (137834814125671680³) is 2618645892679005158858770055851548053290333765632000
• The square root of 137834814125671680 is 371261113.1342355925
• The cube root of 137834814125671680 is 516558.6538639391

Scales and comparisons

• 137,834,814,125,671,680 seconds is equal to 4,382,720,738 years, 6 weeks, 2 days, 18 hours, 8 minutes.
• To count from 1 to 137,834,814,125,671,680 would take you about thirteen billion, one hundred forty-eight million, one hundred sixty-two thousand, two 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 137834814125671680 cubic inches would be around 43046.6 feet tall.

Recreational maths with 137834814125671680

• 137834814125671680 backwards is 086176521418438731
• The number of decimal digits it has is: 18
• The sum of 137834814125671680's digits is 75
• More coming soon!