138040379015168000
138,040,379,015,168,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138040379015168000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1824 divisors.
138040379015168000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred twenty-four divisors.
Prime factorization of 138040379015168000:
218 × 53 × 7 × 373 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 37 × 37 × 37 × 109 × 109)See below for interesting mathematical facts about the number 138040379015168000 from the Numbermatics database.
Names of 138040379015168000
- Cardinal: 138040379015168000 can be written as One hundred thirty-eight quadrillion, forty trillion, three hundred seventy-nine billion, fifteen million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38040379015168 × 1017
Factors of 138040379015168000
Divisors of 138040379015168000
- Number of divisors d(n): 1824
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 50 56 64 70 74 80 100 109 112 125 128 140 148 160 175 185 200 218 224 250 256 259 280 296 320 350 370 400 436 448 500 512 518 545 560 592 640 700 740 763 800 872 875 896 925 1000 1024 1036 1090 1120 1184 1280 1295 1369 1400 1480 1526 1600 1744 1750 1792 1850 2000 2048 2072 2180 2240 2368 2560 2590 2725 2738 2800 2960 3052 3200 3488 3500 3584 3700 3815 4000 4033 4096 4144 4360 4480 4625 4736 5120 5180 5450 5476 5600 5920 6104 6400 6475 6845 6976 7000 7168 7400 7630 8000 8066 8192 8288 8720 8960 9250 9472 9583 10240 10360 10900 10952 11200 11840 11881 12208 12800 12950 13625 13690 13952 14000 14336 14800 15260 16000 16132 16384 16576 17440 17920 18500 18944 19075 19166 20165 20480 20720 21800 21904 22400 23680 23762 24416 25600 25900 27250 27380 27904 28000 28231 28672 29600 30520 32000 32264 32375 32768 33152 34225 34880 35840 37000 37888 38150 38332 40330 40960 41440 43600 43808 44800 47360 47524 47915 48832 50653 51200 51800 54500 54760 55808 56000 56462 57344 59200 59405 61040 64000 64528 64750 65536 66304 68450 69760 71680 74000 75776 76300 76664 80660 81920 82880 83167 87200 87616 89600 94720 95048 95375 95830 97664 100825 101306 102400 103600 109000 109520 111616 112000 112924 114688 118400 118810 122080 128000 129056 129500 131072 132608 136900 139520 141155 143360 148000 149221 151552 152600 153328 161320 163840 165760 166334 171125 174400 175232 179200 189440 190096 190750 191660 195328 201650 202612 204800 207200 218000 219040 223232 224000 225848 229376 236800 237620 239575 244160 253265 256000 258112 259000 262144 265216 273800 279040 282310 286720 296000 297025 298442 303104 305200 306656 322640 327680 331520 332668 342250 348800 350464 354571 358400 378880 380192 381500 383320 390656 403300 405224 409600 414400 415835 436000 438080 439597 446464 448000 451696 458752 473600 475240 479150 488320 504125 506530 512000 516224 518000 530432 547600 558080 564620 573440 592000 594050 596884 606208 610400 613312 645280 655360 663040 665336 684500 697600 700928 705775 709142 716800 746105 757760 760384 763000 766640 781312 806600 810448 819200 828800 831670 872000 876160 879194 892928 896000 903392 917504 947200 950480 958300 976640 1008250 1013060 1024000 1032448 1036000 1044547 1060864 1095200 1116160 1129240 1146880 1184000 1188100 1193768 1197875 1212416 1220800 1226624 1266325 1290560 1310720 1326080 1330672 1369000 1395200 1401856 1411550 1418284 1433600 1485125 1492210 1515520 1520768 1526000 1533280 1562624 1613200 1620896 1638400 1657600 1663340 1744000 1752320 1758388 1772855 1785856 1792000 1806784 1835008 1894400 1900960 1916600 1953280 2016500 2026120 2048000 2064896 2072000 2079175 2089094 2121728 2190400 2197985 2232320 2258480 2293760 2368000 2376200 2387536 2395750 2424832 2441600 2453248 2532650 2581120 2652160 2661344 2738000 2790400 2803712 2823100 2836568 2867200 2970250 2984420 3031040 3041536 3052000 3066560 3077179 3125248 3226400 3241792 3276800 3315200 3326680 3488000 3504640 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464743301120 466352631808 481446634400 488967372800 494697459200 504165007360 520482848000 526582256375 532974436352 534808064000 539220230528 545043251200 565368524800 576188579840 580929126400 582940789760 601808293000 611209216000 616251692032 618371824000 630206259200 633212747776 666218045440 674025288160 681304064000 684554321920 706710656000 720235724800 723671711744 726161408000 728675987200 770314615040 787757824000 791515934720 806664011776 829898752000 832772556800 842531610200 855692902400 900294656000 904589639680 910844984000 925073408000 932705263616 962893268800 977934745600 989394918400 1008330014720 1040965696000 1053164512750 1065948872704 1069616128000 1078440461056 1130737049600 1161858252800 1165881579520 1203616586000 1222418432000 1232503384064 1236743648000 1260412518400 1266425495552 1332436090880 1348050576320 1362608128000 1369108643840 1413421312000 1440471449600 1447343423488 1452322816000 1457351974400 1540629230080 1575515648000 1583031869440 1659797504000 1665545113600 1685063220400 1711385804800 1800589312000 1809179279360 1821689968000 1865410527232 1925786537600 1978789836800 2016660029440 2081931392000 2106329025500 2131897745408 2139232256000 2156880922112 2261474099200 2323716505600 2331763159040 2407233172000 2444836864000 2465006768128 2473487296000 2520825036800 2532850991104 2664872181760 2696101152640 2725216256000 2826842624000 2880942899200 2904645632000 2914703948800 3081258460160 3151031296000 3166063738880 3331090227200 3370126440800 3422771609600 3601178624000 3618358558720 3643379936000 3730821054464 3851573075200 3957579673600 4033320058880 4163862784000 4212658051000 4263795490816 4278464512000 4313761844224 4522948198400 4663526318080 4814466344000 4889673728000 4930013536256 4946974592000 5041650073600 5065701982208 5329744363520 5392202305280 5653685248000 5809291264000 5829407897600 6162516920320 6302062592000 6332127477760 6662180454400 6740252881600 6845543219200 7202357248000 7236717117440 7286759872000 7461642108928 7703146150400 7915159347200 8327725568000 8425316102000 8556929024000 8627523688448 9045896396800 9327052636160 9628932688000 9860027072512 9893949184000 10083300147200 10131403964416 10659488727040 10784404610560 11307370496000 11618582528000 11658815795200 12325033840640 12604125184000 12664254955520 13324360908800 13480505763200 14404714496000 14573519744000 14923284217856 15406292300800 15830318694400 16655451136000 16850632204000 17113858048000 17255047376896 18091792793600 18654105272320 19257865376000 19720054145024 19787898368000 20166600294400 21318977454080 21568809221120 22614740992000 23317631590400 24650067681280 25208250368000 25328509911040 26648721817600 26961011526400 29147039488000 29846568435712 30812584601600 31660637388800 33310902272000 33701264408000 34227716096000 34510094753792 36183585587200 37308210544640 38515730752000 39440108290048 39575796736000 43137618442240 45229481984000 46635263180800 49300135362560 50416500736000 50657019822080 53297443635200 53922023052800 58294078976000 61625169203200 63321274777600 66621804544000 67402528816000 69020189507584 74616421089280 77031461504000 78880216580096 79151593472000 86275236884480 90458963968000 93270526361600 98600270725120 100833001472000 106594887270400 107844046105600 116588157952000 123250338406400 126642549555200 133243609088000 134805057632000 138040379015168 149232842178560 154062923008000 157760433160192 158303186944000 172550473768960 180917927936000 186541052723200 197200541450240 215688092211200 233176315904000 246500676812800 253285099110400 266487218176000 269610115264000 276080758030336 308125846016000 316606373888000 345100947537920 373082105446400 394401082900480 431376184422400 466352631808000 493001353625600 532974436352000 539220230528000 552161516060672 616251692032000 633212747776000 690201895075840 746164210892800 788802165800960 862752368844800 932705263616000 986002707251200 1078440461056000 1104323032121344 1232503384064000 1266425495552000 1380403790151680 1725504737689600 1865410527232000 1972005414502400 2156880922112000 2465006768128000 2760807580303360 3451009475379200 3730821054464000 3944010829004800 4313761844224000 4930013536256000 5521615160606720 6902018950758400 8627523688448000 9860027072512000 13804037901516800 17255047376896000 19720054145024000 27608075803033600 34510094753792000 69020189507584000 138040379015168000
- Sum of all divisors σ(n): 408454082660856960
- Sum of proper divisors (its aliquot sum) s(n): 270413703645688960
- 138040379015168000 is an abundant number, because the sum of its proper divisors (270413703645688960) is greater than itself. Its abundance is 132373324630520960
Bases of 138040379015168000
- Binary: 1111010100110101011111110010010111101110000000000000000002
- Hexadecimal: 0x1EA6AFE4BDC0000
- Base-36: 11R78AO0NVNK
Squares and roots of 138040379015168000
- 138040379015168000 squared (1380403790151680002) is 19055146238651233937574068224000000
- 138040379015168000 cubed (1380403790151680003) is 2630379608972869239708248634577940362821632000000000
-
The
square root of 138040379015168000 is 371537856.7725878457 -
The
cube root of 138040379015168000 is 516815.3223955387
Scales and comparisons
How big is 138040379015168000?- 138,040,379,015,168,000 seconds is equal to 4,389,257,065 years, 39 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,040,379,015,168,000 would take you about thirteen billion, one hundred sixty-seven million, seven hundred seventy-one thousand, one hundred ninety-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 138040379015168000 cubic inches would be around 43067.9 feet tall.
Recreational maths with 138040379015168000
- 138040379015168000 backwards is 000861510973040831
- 138040379015168000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138040379015168000's digits is 56
- More coming soon!
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MLA style:
"Number 138040379015168000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138040379015168000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138040379015168000/
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Numbermatics. 2024. "Number 138040379015168000 - Facts about the integer". https://numbermatics.com/n/138040379015168000/
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