137868355476030400
137,868,355,476,030,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137868355476030400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 672 divisors.
137868355476030400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 137868355476030400:
26 × 52 × 13 × 23 × 31 × 431 × 21569221
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 23 × 31 × 431 × 21569221)See below for interesting mathematical facts about the number 137868355476030400 from the Numbermatics database.
Names of 137868355476030400
- Cardinal: 137868355476030400 can be written as One hundred thirty-seven quadrillion, eight hundred sixty-eight trillion, three hundred fifty-five billion, four hundred seventy-six million, thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.378683554760304 × 1017
Factors of 137868355476030400
Divisors of 137868355476030400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 31 32 40 46 50 52 62 64 65 80 92 100 104 115 124 130 155 160 184 200 208 230 248 260 299 310 320 325 368 400 403 416 431 460 496 520 575 598 620 650 713 736 775 800 806 832 862 920 992 1040 1150 1196 1240 1300 1426 1472 1495 1550 1600 1612 1724 1840 1984 2015 2080 2155 2300 2392 2480 2600 2852 2990 3100 3224 3448 3565 3680 4030 4160 4310 4600 4784 4960 5200 5603 5704 5980 6200 6448 6896 7130 7360 7475 8060 8620 9200 9269 9568 9913 9920 10075 10400 10775 11206 11408 11960 12400 12896 13361 13792 14260 14950 16120 17240 17825 18400 18538 19136 19826 20150 20800 21550 22412 22816 23920 24800 25792 26722 27584 28015 28520 29900 32240 34480 35650 36800 37076 39652 40300 43100 44824 45632 46345 47840 49565 49600 53444 56030 57040 59800 64480 66805 68960 71300 74152 79304 80600 86200 89648 92690 95680 99130 106888 112060 114080 119600 128869 128960 133610 137920 140075 142600 148304 158608 161200 172400 173693 179296 185380 198260 213776 224120 228160 231725 239200 247825 257738 267220 280150 285200 296608 307303 317216 322400 334025 344800 347386 358592 370760 396520 427552 448240 463450 478400 495650 515476 534440 560300 570400 593216 614606 634432 644345 644800 668050 689600 694772 741520 793040 855104 868465 896480 926900 991300 1030952 1068880 1120600 1140800 1229212 1288690 1336100 1389544 1483040 1536515 1586080 1736930 1792960 1853800 1982600 2061904 2137760 2241200 2458424 2577380 2672200 2779088 2966080 3073030 3172160 3221725 3473860 3707600 3965200 3994939 4123808 4275520 4342325 4482400 4916848 5154760 5344400 5558176 6146060 6443450 6947720 7415200 7682575 7930400 7989878 8247616 8684650 8964800 9833696 10309520 10688800 11116352 12292120 12886900 13895440 14830400 15365150 15860800 15979756 17369300 19667392 19974695 20619040 21377600 21569221 24584240 25773800 27790880 30730300 31959512 34738600 39949390 41238080 43138442 49168480 51547600 55581760 61460600 63919024 69477200 79898780 86276884 98336960 99873475 103095200 107846105 122921200 127838048 138954400 159797560 172553768 199746950 206190400 215692210 245842400 255676096 277908800 280399873 319595120 345107536 399493900 431384420 491684800 496092083 539230525 560799746 639190240 668645851 690215072 798987800 862768840 992184166 1078461050 1121599492 1278380480 1337291702 1380430144 1401999365 1597975600 1725537680 1984368332 2156922100 2243198984 2480460415 2674583404 2803998730 3195951200 3343229255 3451075360 3968736664 4313844200 4486397968 4960920830 5349166808 5607997460 6391902400 6449197079 6686458510 6902150720 7009996825 7937473328 8627688400 8692396063 8972795936 9296334251 9921841660 10698333616 11215994920 12402302075 12898394158 13372917020 14019993650 15378854573 15874946656 16716146275 17255376800 17384792126 17945591872 18592668502 19843683320 21396667232 22431989840 24804604150 25796788316 26745834040 28039987300 30757709146 31749893312 32245985395 33432292550 34510753600 34769584252 37185337004 39687366640 42793334464 43461980315 44863979680 46481671255 49609208300 51593576632 53491668080 56079974600 61515418292 64491970790 66864585100 69539168504 74370674008 76894272865 79374733280 86923960630 89727959360 92963342510 99218416600 103187153264 106983336160 112159949200 120852345263 123030836584 128983941580 133729170200 139078337008 148741348016 153788545730 158749466560 161229926975 173847921260 185926685020 198436833200 199925109449 206374306528 213815687773 213966672320 217309901575 224319898400 232408356275 241704690526 246061673168 257967883160 267458340400 278156674016 288186361781 297482696032 307577091460 322459853950 347695842520 371853370040 384471364325 396873666400 399850218898 412748613056 427631375546 434619803150 448639796800 464816712550 483409381052 492123346336 515935766320 534916680800 556313348032 576372723562 594965392064 604261726315 615154182920 644919707900 695391685040 743706740080 768942728650 793747332800 799700437796 855262751092 869239606300 929633425100 966818762104 984246692672 999625547245 1031871532640 1069078438865 1069833361600 1152745447124 1208523452630 1230308365840 1289839415800 1390783370080 1440931808905 1487413480160 1537885457300 1599400875592 1710525502184 1738479212600 1859266850200 1933637524208 1999251094490 2063743065280 2138156877730 2305490894248 2417046905260 2460616731680 2579678831600 2779603941049 2781566740160 2881863617810 2974826960320 3021308631575 3075770914600 3198801751184 3421051004368 3476958425200 3718533700400 3746422703153 3867275048416 3998502188980 4276313755460 4610981788496 4834093810520 4921233463360 4998127736225 5159357663200 5345392194325 5559207882098 5763727235620 6042617263150 6151541829200 6397603502368 6628286320963 6842102008736 6953916850400 7204659044525 7437067400800 7492845406306 7734550096832 7997004377960 8552627510920 9221963576992 9668187621040 9996255472450 10318715326400 10690784388650 11118415764196 11527454471240 12085234526300 12303083658400 12795207004736 13256572641926 13684204017472 13898019705245 13907833700800 14409318089050 14874134801600 14985690812612 15994008755920 17105255021840 18443927153984 18732113515765 19336375242080 19992510944900 21381568777300 22236831528392 23054908942480 24170469052600 24606167316800 26513145283852 27796039410490 28818636178100 29971381625224 31988017511840 33141431604815 34210510043680 37464227031530 38672750484160 39985021889800 42763137554600 44473663056784 46109817884960 48340938105200 53026290567704 55592078820980 57637272356200 59942763250448 63976035023680 66282863209630 68421020087360 69490098526225 74928454063060 79970043779600 85526275109200 86167722172519 88947326113568 92219635769920 93660567578825 96681876210400 106052581135408 111184157641960 115274544712400 119885526500896 132565726419260 138980197052450 149856908126120 159940087559200 165707158024075 171052550218400 172335444345038 177894652227136 187321135157650 193363752420800 212105162270816 222368315283920 230549089424800 239771053001792 265131452838520 277960394104900 299713816252240 319880175118400 331414316048150 342105100436800 344670888690076 374642270315300 424210324541632 430838610862595 444736630567840 461098178849600 530262905677040 555920788209800 599427632504480 662828632096300 689341777380152 749284540630600 861677221725190 889473261135680 1060525811354080 1111841576419600 1198855265008960 1325657264192600 1378683554760304 1498569081261200 1723354443450380 2121051622708160 2154193054312975 2223683152839200 2651314528385200 2757367109520608 2997138162522400 3446708886900760 4308386108625950 4447366305678400 5302629056770400 5514734219041216 5994276325044800 6893417773801520 8616772217251900 10605258113540800 13786835547603040 17233544434503800 27573671095206080 34467088869007600 68934177738015200 137868355476030400
- Sum of all divisors σ(n): 394432686628356096
- Sum of proper divisors (its aliquot sum) s(n): 256564331152325696
- 137868355476030400 is an abundant number, because the sum of its proper divisors (256564331152325696) is greater than itself. Its abundance is 118695975676295296
Bases of 137868355476030400
- Binary: 1111010011100111010001001111100011110101010000011110000002
- Hexadecimal: 0x1E9CE89F1EA83C0
- Base-36: 11PI9456Z64G
Squares and roots of 137868355476030400
- 137868355476030400 squared (1378683554760304002) is 19007683441665081582588941724160000
- 137868355476030400 cubed (1378683554760304003) is 2620558057511338410541539488493249921328574464000000
-
The
square root of 137868355476030400 is 371306282.5701046497 -
The
cube root of 137868355476030400 is 516600.5510427903
Scales and comparisons
How big is 137868355476030400?- 137,868,355,476,030,400 seconds is equal to 4,383,787,249 years, 16 weeks, 2 days, 8 hours, 26 minutes, 40 seconds.
-
To count from 1 to 137,868,355,476,030,400 would take you about thirteen billion, one hundred fifty-one million, three hundred sixty-one thousand, seven hundred forty-seven 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 137868355476030400 cubic inches would be around 43050 feet tall.
Recreational maths with 137868355476030400
- 137868355476030400 backwards is 004030674553868731
- The number of decimal digits it has is: 18
- The sum of 137868355476030400's digits is 70
- More coming soon!
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The information we have on file for 137868355476030400 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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