138978068898816
138,978,068,898,816 is an even composite number composed of five prime numbers multiplied together.
What does the number 138978068898816 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 891 divisors.
138978068898816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ninety-one divisors.
Prime factorization of 138978068898816:
210 × 32 × 72 × 532 × 3312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 53 × 53 × 331 × 331)See below for interesting mathematical facts about the number 138978068898816 from the Numbermatics database.
Names of 138978068898816
- Cardinal: 138978068898816 can be written as One hundred thirty-eight trillion, nine hundred seventy-eight billion, sixty-eight million, eight hundred ninety-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38978068898816 × 1014
Factors of 138978068898816
Divisors of 138978068898816
- Number of divisors d(n): 891
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 53 56 63 64 72 84 96 98 106 112 126 128 144 147 159 168 192 196 212 224 252 256 288 294 318 331 336 371 384 392 424 441 448 477 504 512 576 588 636 662 672 742 768 784 848 882 896 954 993 1008 1024 1113 1152 1176 1272 1324 1344 1484 1536 1568 1696 1764 1792 1908 1986 2016 2226 2304 2317 2352 2544 2597 2648 2688 2809 2968 2979 3072 3136 3339 3392 3528 3584 3816 3972 4032 4452 4608 4634 4704 5088 5194 5296 5376 5618 5936 5958 6272 6678 6784 6951 7056 7168 7632 7791 7944 8064 8427 8904 9216 9268 9408 10176 10388 10592 10752 11236 11872 11916 12544 13356 13568 13902 14112 15264 15582 15888 16128 16219 16854 17543 17808 18536 18816 19663 20352 20776 20853 21184 21504 22472 23373 23744 23832 25088 25281 26712 27136 27804 28224 30528 31164 31776 32256 32438 33708 35086 35616 37072 37632 39326 40704 41552 41706 42368 44944 46746 47488 47664 48657 50176 50562 52629 53424 54272 55608 56448 58989 61056 62328 63552 64512 64876 67416 70172 71232 74144 75264 78652 81408 83104 83412 84736 89888 93492 94976 95328 97314 101124 105258 106848 109561 111216 112896 117978 122112 122801 124656 127104 129752 134832 137641 140344 142464 145971 148288 150528 157304 157887 162816 166208 166824 169472 176967 179776 186984 189952 190656 194628 202248 210516 213696 219122 222432 225792 235956 244224 245602 249312 254208 259504 269664 275282 280688 284928 291942 296576 314608 315774 328683 332416 333648 338944 353934 359552 368403 373968 379904 381312 389256 404496 412923 421032 427392 438244 444864 451584 471912 488448 491204 498624 508416 519008 539328 550564 561376 569856 583884 593152 629216 631548 657366 664832 667296 707868 719104 736806 747936 762624 766927 778512 808992 825846 842064 854784 859607 876488 889728 929779 943824 982408 986049 997248 1016832 1038016 1078656 1101128 1105209 1122752 1139712 1167768 1186304 1238769 1258432 1263096 1314732 1329664 1334592 1415736 1438208 1473612 1495872 1525248 1533854 1557024 1617984 1651692 1684128 1709568 1719214 1752976 1779456 1859558 1887648 1964816 1972098 1994496 2076032 2157312 2202256 2210418 2245504 2300781 2335536 2372608 2477538 2516864 2526192 2578821 2629464 2659328 2669184 2789337 2831472 2876416 2947224 2991744 3050496 3067708 3114048 3235968 3303384 3368256 3419136 3438428 3505952 3558912 3719116 3775296 3929632 3944196 3988992 4152064 4314624 4404512 4420836 4491008 4601562 4671072 4955076 5033728 5052384 5157642 5258928 5338368 5368489 5578674 5662944 5806733 5894448 5983488 6135416 6228096 6471936 6508453 6606768 6736512 6876856 6902343 7011904 7117824 7438232 7550592 7736463 7859264 7888392 7977984 8304128 8368011 8629248 8809024 8841672 8982016 9203124 9342144 9910152 10067456 10104768 10315284 10517856 10676736 10736978 11157348 11325888 11613466 11788896 11966976 12270832 12456192 12943872 13016906 13213536 13473024 13753712 13804686 14023808 14876464 15101184 15472926 15718528 15776784 16105467 16608256 16736022 17420199 17618048 17683344 17964032 18406248 18684288 19525359 19820304 20134912 20209536 20630568 21035712 21353472 21473956 22314696 22651776 23226932 23577792 23933952 24541664 24912384 25887744 26033812 26427072 26946048 27507424 27609372 28047616 29752928 30202368 30945852 31437056 31553568 32210934 33472044 34840398 35236096 35366688 36812496 37368576 39050718 39640608 40419072 40647131 41261136 42071424 42947912 44629392 45303552 45559171 46453864 47155584 48316401 49083328 49824768 52067624 52260597 52854144 53892096 55014848 55218744 56095232 58576077 59505856 60404736 61891704 62874112 63107136 64421868 66944088 69680796 70472192 70733376 73624992 74737152 78101436 79281216 80838144 81294262 82522272 84142848 85895824 89258784 90607104 91118342 92907728 94311168 96632802 98166656 104135248 104521194 105708288 110029696 110437488 112190464 117152154 119011712 121941393 123783408 125748224 126214272 128843736 133888176 136677513 139361592 140944384 141466752 147249984 149474304 156202872 158562432 161676288 162588524 165044544 168285696 171791648 178517568 181214208 182236684 185815456 188622336 193265604 196333312 208270496 209042388 211416576 220059392 220874976 234304308 238023424 243882786 247566816 252428544 257687472 267776352 273355026 278723184 282933504 284529917 294499968 307756849 312405744 317124864 325177048 330089088 336571392 343583296 357035136 364473368 365824179 371630912 377244672 386531208 392666624 410032539 416540992 418084776 422833152 440118784 441749952 468608616 476046848 487765572 495133632 504857088 515374944 535552704 546710052 557446368 565867008 569059834 588999936 615513698 624811488 634249728 650354096 660178176 687166592 714070272 728946736 731648358 743261824 773062416 785333248 820065078 833081984 836169552 853589751 880237568 883499904 923270547 937217232 952093696 975531144 990267264 1009714176 1030749888 1071105408 1093420104 1114892736 1131734016 1138119668 1177999872 1231027396 1249622976 1268499456 1300708192 1320356352 1374333184 1428140544 1457893472 1463296716 1486523648 1546124832 1640130156 1666163968 1672339104 1707179502 1766999808 1846541094 1874434464 1951062288 1980534528 2061499776 2142210816 2154297943 2186840208 2229785472 2276239336 2355999744 2462054792 2499245952 2560769253 2601416384 2640712704 2748666368 2769811641 2856281088 2915786944 2926593432 2973047296 3092249664 3280260312 3332327936 3344678208 3414359004 3533999616 3693082188 3748868928 3902124576 3961069056 4122999552 4284421632 4308595886 4373680416 4459570944 4552478672 4924109584 4998491904 5121538506 5202832768 5497332736 5539623282 5831573888 5853186864 5946094592 6184499328 6462893829 6560520624 6664655872 6689356416 6828718008 7067999232 7386164376 7497737856 7804249152 7922138112 8245999104 8568843264 8617191772 8747360832 8919141888 9104957344 9848219168 9996983808 10243077012 10405665536 11079246564 11663147776 11706373728 12368998656 12925787658 13121041248 13378712832 13657436016 14772328752 14995475712 15080085601 15608498304 16491998208 17234383544 17494721664 17838283776 18209914688 19388681487 19696438336 19993967616 20486154024 20811331072 22158493128 23326295552 23412747456 24737997312 25851575316 26242082496 26757425664 27314872032 29544657504 29990951424 30160171202 31216996608 34468767088 34989443328 36419829376 38777362974 39392876672 40972308048 41622662144 44316986256 45240256803 46652591104 46825494912 49475994624 51703150632 52484164992 53514851328 54629744064 59089315008 59981902848 60320342404 62433993216 68937534176 69978886656 72839658752 77554725948 78785753344 81944616096 88633972512 90480513606 93650989824 103406301264 104968329984 109259488128 118178630016 120640684808 124867986432 135720770409 137875068352 139957773312 145679317504 155109451896 157571506688 163889232192 177267945024 180961027212 187301979648 206812602528 209936659968 218518976256 236357260032 241281369616 271441540818 275750136704 291358635008 310218903792 315143013376 327778464384 354535890048 361922054424 374603959296 413625205056 419873319936 437037952512 472714520064 482562739232 542883081636 551500273408 620437807584 655556928768 709071780096 723844108848 827250410112 874075905024 945429040128 965125478464 1085766163272 1103000546816 1240875615168 1311113857536 1418143560192 1447688217696 1654500820224 1930250956928 2171532326544 2206001093632 2481751230336 2622227715072 2836287120384 2895376435392 3309001640448 3860501913856 4343064653088 4963502460672 5790752870784 6618003280896 7721003827712 8686129306176 9927004921344 11581505741568 15442007655424 17372258612352 19854009842688 23163011483136 34744517224704 46326022966272 69489034449408 138978068898816
- Sum of all divisors σ(n): 477229660809993
- Sum of proper divisors (its aliquot sum) s(n): 338251591911177
- 138978068898816 is an abundant number, because the sum of its proper divisors (338251591911177) is greater than itself. Its abundance is 199273523012361
Bases of 138978068898816
- Binary: 111111001100110010110100110110110100100000000002
- Hexadecimal: 0x7E665A6DA400
- Base-36: 1D9HN5WXS0
Squares and roots of 138978068898816
- 138978068898816 squared (1389780688988162) is 19314903634844047142846201856
- 138978068898816 cubed (1389780688988163) is 2684348008137347578669672231829345975402496
-
138978068898816 is a
perfect square number . Itssquare root is 11788896 -
The
cube root of 138978068898816 is 51798.2901820825
Scales and comparisons
How big is 138978068898816?- 138,978,068,898,816 seconds is equal to 4,419,072 years, 36 weeks, 4 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,978,068,898,816 would take you about eleven million, forty-seven thousand, six hundred eighty-one 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 138978068898816 cubic inches would be around 4316.5 feet tall.
Recreational maths with 138978068898816
- 138978068898816 backwards is 618898860879831
- The number of decimal digits it has is: 15
- The sum of 138978068898816's digits is 90
- More coming soon!
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The information we have on file for 138978068898816 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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