138010854744400
138,010,854,744,400 is an even composite number composed of seven prime numbers multiplied together.
138010854744400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138010854744400:
24 × 52 × 112 × 17 × 37 × 41 × 110569
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 17 × 37 × 41 × 110569)See below for interesting mathematical facts about the number 138010854744400 from the Numbermatics database.
Names of 138010854744400
- Cardinal: 138010854744400 can be written as One hundred thirty-eight trillion, ten billion, eight hundred fifty-four million, seven hundred forty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.380108547444 × 1014
Factors of 138010854744400
Divisors of 138010854744400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 34 37 40 41 44 50 55 68 74 80 82 85 88 100 110 121 136 148 164 170 176 185 187 200 205 220 242 272 275 296 328 340 370 374 400 407 410 425 440 451 484 550 592 605 629 656 680 697 740 748 814 820 850 880 902 925 935 968 1025 1100 1210 1258 1360 1394 1480 1496 1517 1628 1640 1700 1804 1850 1870 1936 2035 2050 2057 2200 2255 2420 2516 2788 2960 2992 3025 3034 3145 3256 3280 3400 3485 3608 3700 3740 4070 4100 4114 4400 4477 4510 4675 4840 4961 5032 5576 6050 6068 6290 6512 6800 6919 6970 7216 7400 7480 7585 7667 8140 8200 8228 8954 9020 9350 9680 9922 10064 10175 10285 11152 11275 12100 12136 12580 13838 13940 14800 14960 15170 15334 15725 16280 16400 16456 16687 17425 17908 18040 18700 19844 20350 20570 22385 22550 24200 24272 24805 25160 25789 27676 27880 30340 30668 31450 32560 32912 33374 34595 34850 35816 36080 37400 37925 38335 39688 40700 41140 44770 45100 48400 49610 50320 51425 51578 55352 55760 60680 61336 62900 66748 69190 69700 71632 74800 75850 76109 76670 79376 81400 82280 83435 84337 89540 90200 99220 102850 103156 110569 110704 111925 121360 122672 124025 125800 128945 133496 138380 139400 151700 152218 153340 162800 164560 166870 168674 172975 179080 180400 183557 191675 198440 205700 206312 221138 223850 248050 251600 257890 266992 276760 278800 283679 303400 304436 306680 333740 337348 345950 358160 367114 380545 383350 396880 411400 412624 417175 421685 442276 447700 496100 515780 552845 553520 567358 606800 608872 613360 644725 667480 674696 691900 734228 761090 766700 822800 834350 843370 884552 895400 917785 992200 1031560 1105690 1134716 1216259 1217744 1289450 1334960 1349392 1383800 1418395 1468456 1522180 1533400 1668700 1686740 1769104 1790800 1835570 1879673 1902725 1984400 2063120 2108425 2211380 2269432 2432518 2578900 2764225 2767600 2836790 2936912 3044360 3066800 3120469 3337400 3373480 3671140 3759346 3805450 4091053 4216850 4422760 4533329 4538864 4588925 4865036 5157800 5528450 5673580 6081295 6088720 6240938 6674800 6746960 7091975 7342280 7518692 7610900 8182106 8433700 8845520 9066658 9177850 9398365 9730072 10315600 11056900 11347160 12162590 12481876 13378849 14183950 14684560 15037384 15221800 15602345 16364212 16867400 18133316 18355700 18796730 19460144 20455265 20676403 22113800 22666645 22694320 24325180 24963752 26757698 28367900 30074768 30406475 30443600 31204690 32728424 33734800 36266632 36711400 37593460 40910530 41352806 44227600 45001583 45333290 46991825 48650360 49866619 49927504 53515396 56735800 60812950 62409380 65456848 66894245 69547901 72533264 73422800 75186920 77066593 78011725 81821060 82705612 90003166 90666580 93983650 97300720 99733238 102276325 103382015 107030792 113333225 113471600 121625900 124818760 133788490 139095802 150373840 154133186 156023450 163642120 165411224 167733173 180006332 181333160 187967300 199466476 204552650 206764030 214061584 225007915 226666450 227440433 243251800 249333095 249637520 267576980 278191604 308266372 312046900 327284240 330822448 334471225 335466346 347739505 360012664 362666320 375934600 385332965 398932952 409105300 413528060 450015830 453332900 454880866 486503600 495017413 498666190 516910075 535153960 548532809 556383208 616532744 624093800 668942450 670932692 695479010 720025328 751869200 765026911 770665930 797865904 818210600 827056120 838665865 847732523 900031660 906665800 909761732 990034826 997332380 1033820150 1070307920 1097065618 1112766416 1125039575 1137202165 1233065488 1246665475 1248187600 1337884900 1341865384 1390958020 1530053822 1541331860 1636421200 1654112240 1677331730 1695465046 1738697525 1800063320 1813331600 1819523464 1845064903 1926664825 1980069652 1994664760 2067640300 2194131236 2250079150 2274404330 2475087065 2493330950 2675769800 2683730768 2742664045 2781916040 2851463941 3060107644 3082663720 3354663460 3390930092 3477395050 3600126640 3639046928 3690129806 3825134555 3853329650 3960139304 3989329520 4135280600 4193329325 4238662615 4388262472 4500158300 4548808660 4950174130 4986661900 5351539600 5485328090 5563832080 5686010825 5702927882 6120215288 6165327440 6709326920 6781860184 6954790100 7380259612 7650269110 7706659300 7920278608 8270561200 8386658650 8415296021 8477325230 8776524944 9000316600 9097617320 9225324515 9325057753 9900348260 9973323800 10970656180 11372021650 11405855764 12240430576 12375435325 13418653840 13563720368 13713320225 13909580200 14257319705 14760519224 15300538220 15413318600 16773317300 16830592042 16954650460 18000633200 18195234640 18450649030 18650115506 19125672775 19800696520 19946647600 20295713933 21193313075 21941312360 22744043300 22811711528 24750870650 27426640450 27819160400 28514639410 29521038448 30601076440 30826637200 31366103351 33546634600 33661184084 33909300920 36901298060 37300231012 38251345550 39601393040 40591427866 42076480105 42386626150 43882624720 45488086600 45623423056 46126622575 46625288765 49501741300 54853280900 57029278820 61202152880 62732206702 67093269200 67322368168 67818601840 71286598525 73802596120 74600462024 76502691100 81182855732 84152960210 84773252300 90976173200 92253245150 93250577530 99003482600 101478569665 109706561800 114058557640 125464413404 134644736336 142573197050 147605192240 149200924048 153005382200 156830516755 162365711464 168305920420 169546504600 184506490300 186501155060 198006965200 202957139330 210382400525 219413123600 228117115280 233126443825 250928826808 285146394100 306010764400 313661033510 324731422928 336611840840 339093009200 345027136861 369012980600 373002310120 405914278660 420764801050 466252887650 501857653616 507392848325 570292788200 627322067020 673223681680 690054273722 738025961200 746004620240 784152583775 811828557320 841529602100 932505775300 1014785696650 1140585576400 1254644134040 1380108547444 1568305167550 1623657114640 1683059204200 1725135684305 1865011550600 2029571393300 2509288268080 2760217094888 3136610335100 3366118408400 3450271368610 3730023101200 4059142786600 5520434189776 6273220670200 6900542737220 8118285573200 8625678421525 12546441340400 13801085474440 17251356843050 27602170948880 34502713686100 69005427372200 138010854744400
- Sum of all divisors σ(n): 405992237802480
- Sum of proper divisors (its aliquot sum) s(n): 267981383058080
- 138010854744400 is an abundant number, because the sum of its proper divisors (267981383058080) is greater than itself. Its abundance is 129970528313680
Bases of 138010854744400
- Binary: 111110110000101001001111111100011100001010100002
- Hexadecimal: 0x7D8527F8E150
- Base-36: 1CX5B7KVV4
Squares and roots of 138010854744400
- 138010854744400 squared (1380108547444002) is 19046996027279875989331360000
- 138010854744400 cubed (1380108547444003) is 2628692202038086825008855569039704384000000
-
The
square root of 138010854744400 is 11747802.1239889805 -
The
cube root of 138010854744400 is 51677.8474038565
Scales and comparisons
How big is 138010854744400?- 138,010,854,744,400 seconds is equal to 4,388,318 years, 14 weeks, 5 days, 20 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,010,854,744,400 would take you about ten million, nine hundred seventy thousand, seven hundred ninety-five 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 138010854744400 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138010854744400
- 138010854744400 backwards is 004447458010831
- The number of decimal digits it has is: 15
- The sum of 138010854744400's digits is 49
- More coming soon!
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