138039733638625000
138,039,733,638,625,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138039733638625000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2688 divisors.
138039733638625000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138039733638625000:
23 × 56 × 7 × 133 × 195 × 29
(2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 13 × 13 × 13 × 19 × 19 × 19 × 19 × 19 × 29)See below for interesting mathematical facts about the number 138039733638625000 from the Numbermatics database.
Names of 138039733638625000
- Cardinal: 138039733638625000 can be written as One hundred thirty-eight quadrillion, thirty-nine trillion, seven hundred thirty-three billion, six hundred thirty-eight million, six hundred twenty-five thousand.
Scientific notation
- Scientific notation: 1.38039733638625 × 1017
Factors of 138039733638625000
Divisors of 138039733638625000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 19 20 25 26 28 29 35 38 40 50 52 56 58 65 70 76 91 95 100 104 116 125 130 133 140 145 152 169 175 182 190 200 203 232 247 250 260 266 280 290 325 338 350 361 364 377 380 406 455 475 494 500 520 532 551 580 625 650 665 676 700 722 725 728 754 760 812 845 875 910 950 988 1000 1015 1064 1102 1160 1183 1235 1250 1300 1330 1352 1400 1444 1450 1508 1624 1625 1690 1729 1750 1805 1820 1885 1900 1976 2030 2197 2204 2275 2366 2375 2470 2500 2527 2600 2639 2660 2755 2888 2900 3016 3125 3211 3250 3325 3380 3458 3500 3610 3625 3640 3770 3800 3857 4060 4225 4375 4394 4408 4550 4693 4732 4750 4901 4940 5000 5054 5075 5278 5320 5510 5800 5915 6175 6250 6422 6500 6650 6760 6859 6916 7000 7163 7220 7250 7540 7714 8120 8125 8450 8645 8750 8788 9025 9100 9386 9425 9464 9500 9802 9880 10108 10150 10469 10556 10985 11020 11375 11830 11875 12350 12500 12635 12844 13000 13195 13300 13718 13775 13832 14326 14440 14500 15080 15379 15428 15625 16055 16250 16625 16900 17290 17500 17576 18050 18125 18200 18772 18850 19000 19285 19604 20216 20300 20938 21112 21125 21875 21970 22040 22477 22750 23465 23660 23750 24505 24700 25000 25270 25375 25688 26390 26600 27436 27550 28652 29000 29575 30758 30856 30875 31250 32110 32500 32851 33250 33800 34295 34307 34580 35000 35815 36100 36250 37544 37700 38570 39208 40600 40625 41743 41876 42250 43225 43750 43940 44954 45125 45500 46930 47125 47320 47500 48013 49010 49400 50141 50540 50750 52345 52780 54872 54925 55100 56875 57304 59150 59375 61009 61516 61750 62500 63175 63713 64220 65000 65702 65975 66500 68590 68614 68875 69160 71630 72200 72500 73283 75400 76895 77140 80275 81250 83125 83486 83752 84500 86450 87500 87880 89167 89908 90250 90625 91000 93119 93860 94250 95000 96026 96425 98020 100282 101080 101500 104690 105560 105625 109375 109850 110200 112385 113750 117325 118300 118750 122018 122525 123032 123500 125000 126350 126875 127426 128440 130321 131404 131950 133000 136097 137180 137228 137750 143260 145000 146566 147875 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3399993439375 3520703265625 3578940462500 3661531396250 3676745515625 3807992652100 3823815336250 3854243575000 3943992389675 3991895131250 4023660875000 4025068775000 4084015788125 4151570936500 4201994875000 4247376419650 4298963987500 4417271476436 4470922547000 4473675578125 4487929437500 4667446615000 4759990815125 4817804468750 5010516647500 5031335968750 5189463670625 5230759137500 5373704984375 5439989503000 5462593337500 5521589345545 5588653183750 5633125225000 5812199311100 5834308268750 5882792825000 6067680599500 6141377125000 6263145809375 6283101212500 6310387823480 6534425261000 6538448921875 6592785062500 6799986878750 6828241671875 7041406531250 7157880925000 7265249138875 7323062792500 7353491031250 7584600749375 7615985304200 7647630672500 7853876515625 7887984779350 7983790262500 8168031576250 8303141873000 8494752839300 8597927975000 8834542952872 8947351156250 8975858875000 9153828490625 9519981630250 9559538340625 9635608937500 9979737828125 10021033295000 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36615313962500 37923003746875 38079926521000 38238153362500 39439923896750 39918951312500 40840157881250 41515709365000 42473764196500 42989639875000 44172714764360 45769142453125 47599908151250 47797691703125 50105166475000 51894636706250 52307591375000 53092205245625 54625933375000 55215893455450 55886531837500 58121993111000 58343082687500 60676805995000 62631458093750 62831012125000 67999868787500 69858164796875 72652491388750 73230627925000 75846007493750 76476306725000 78879847793500 79837902625000 81680315762500 84947528393000 84999835984375 91538284906250 95199816302500 95595383406250 98599809741875 102100394703125 103789273412500 106184410491250 110431786910900 111773063675000 116686165375000 118999770378125 125262916187500 129736591765625 135999737575000 138039733638625 139716329593750 145304982777500 151692014987500 157759695587000 163360631525000 169999671968750 181631228471875 183076569812500 189615018734375 190399632605000 191190766812500 197199619483750 204200789406250 207578546825000 212368820982500 220863573821800 237999540756250 250525832375000 259473183531250 265461026228125 276079467277250 279432659187500 290609965555000 303384029975000 339999343937500 363262456943750 366153139625000 379230037468750 382381533625000 394399238967500 408401578812500 424737641965000 475999081512500 492999048709375 518946367062500 530922052456250 552158934554500 558865318375000 594998851890625 679998687875000 690198668193125 726524913887500 758460074937500 788798477935000 816803157625000 908156142359375 951998163025000 985998097418750 1037892734125000 1061844104912500 1104317869109000 1189997703781250 1327305131140625 1380397336386250 1453049827775000 1516920149875000 1816312284718750 1971996194837500 2123688209825000 2379995407562500 2464995243546875 2654610262281250 2760794672772500 3450993340965625 3632624569437500 3943992389675000 4759990815125000 4929990487093750 5309220524562500 5521589345545000 6901986681931250 7265249138875000 9859980974187500 10618441049125000 13803973363862500 17254966704828125 19719961948375000 27607946727725000 34509933409656250 69019866819312500 138039733638625000
- Sum of all divisors σ(n): 437374067165280000
- Sum of proper divisors (its aliquot sum) s(n): 299334333526655000
- 138039733638625000 is an abundant number, because the sum of its proper divisors (299334333526655000) is greater than itself. Its abundance is 161294599888030000
Bases of 138039733638625000
- Binary: 1111010100110101001101000000010000110101101110110111010002
- Hexadecimal: 0x1EA6A68086B76E8
- Base-36: 11R7026O4S14
Squares and roots of 138039733638625000
- 138039733638625000 squared (1380397336386250002) is 19054968063022538382091890625000000
- 138039733638625000 cubed (1380397336386250003) is 2630342715912137350493985137603636775390625000000000
-
The
square root of 138039733638625000 is 371536988.2510017333 -
The
cube root of 138039733638625000 is 516814.5169766019
Scales and comparisons
How big is 138039733638625000?- 138,039,733,638,625,000 seconds is equal to 4,389,236,544 years, 40 weeks, 2 days, 21 hours, 36 minutes, 40 seconds.
-
To count from 1 to 138,039,733,638,625,000 would take you about thirteen billion, one hundred sixty-seven million, seven hundred nine thousand, six hundred thirty-four 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 138039733638625000 cubic inches would be around 43067.9 feet tall.
Recreational maths with 138039733638625000
- 138039733638625000 backwards is 000526836337930831
- The number of decimal digits it has is: 18
- The sum of 138039733638625000's digits is 67
- More coming soon!
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"Number 138039733638625000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138039733638625000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138039733638625000/
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The information we have on file for 138039733638625000 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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