138144797218400
138,144,797,218,400 is an even composite number composed of six prime numbers multiplied together.
138144797218400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138144797218400:
25 × 52 × 7 × 972 × 1072 × 229
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 97 × 97 × 107 × 107 × 229)See below for interesting mathematical facts about the number 138144797218400 from the Numbermatics database.
Names of 138144797218400
- Cardinal: 138144797218400 can be written as One hundred thirty-eight trillion, one hundred forty-four billion, seven hundred ninety-seven million, two hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.381447972184 × 1014
Factors of 138144797218400
Divisors of 138144797218400
- Number of divisors d(n): 648
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 97 100 107 112 140 160 175 194 200 214 224 229 280 350 388 400 428 458 485 535 560 679 700 749 776 800 856 916 970 1070 1120 1145 1358 1400 1498 1552 1603 1712 1832 1940 2140 2290 2425 2675 2716 2800 2996 3104 3206 3395 3424 3664 3745 3880 4280 4580 4850 5350 5432 5600 5725 5992 6412 6790 7328 7490 7760 8015 8560 9160 9409 9700 10379 10700 10864 11449 11450 11984 12824 13580 14980 15520 16030 16975 17120 18320 18725 18818 19400 20758 21400 21728 22213 22898 22900 23968 24503 25648 27160 29960 32060 33950 36640 37450 37636 38800 40075 41516 42800 44426 45796 45800 47045 49006 51296 51895 54320 57245 59920 64120 65863 67900 72653 74900 75272 77600 80143 80150 83032 85600 88852 91592 91600 94090 98012 103790 108640 111065 114490 119840 122515 128240 131726 135800 145306 149800 150544 155491 160286 160300 166064 171521 177704 183184 183200 188180 196024 207580 222130 228980 235225 245030 256480 259475 263452 271600 286225 290612 299600 301088 310982 320572 320600 329315 332128 343042 355408 363265 366368 376360 392048 400715 415160 444260 457960 470450 490060 518950 526904 543200 555325 572450 581224 599200 612575 621964 641144 641200 658630 686084 710816 726530 752720 777455 784096 801430 830320 857605 888520 915920 940900 980120 1006763 1037900 1053808 1110553 1110650 1144900 1162448 1225150 1243928 1282288 1282400 1317260 1372168 1453060 1505440 1554910 1602860 1646575 1660640 1715210 1777040 1816325 1831840 1881800 1960240 2003575 2013526 2075800 2107616 2154661 2221106 2221300 2289800 2324896 2376791 2450300 2487856 2564576 2621821 2634520 2744336 2906120 3109820 3205720 3293150 3430420 3554080 3632650 3763600 3887275 3920480 4007150 4027052 4151600 4288025 4309322 4442212 4442600 4579600 4753582 4900600 4975712 5033815 5243642 5269040 5488672 5552765 5812240 6219640 6411440 6586300 6860840 7047341 7265300 7527200 7773871 7774550 8014300 8054104 8303200 8576050 8618644 8884424 8885200 9159200 9507164 9801200 10067630 10487284 10538080 10773305 11105530 11624480 11883955 12439280 12822880 13109105 13172600 13721680 14094682 14530600 15082627 15547742 15549100 16028600 16108208 16637537 17152100 17237288 17768848 17770400 18352747 19014328 19602400 20135260 20974568 21546610 22211060 23767910 24878560 25169075 26218210 26345200 27443360 27763825 28189364 29061200 30165254 31095484 31098200 32057200 32216416 33275074 34304200 34474576 35236705 35537696 36705494 38028656 38869355 40270520 41949136 43093220 44422120 47535820 50338150 52436420 52690400 53866525 55527650 56378728 58122400 59419775 60330508 62190968 62196400 64114400 65545525 66550148 68608400 68949152 70473410 73410988 75413135 76057312 77738710 80541040 83187685 83898272 86186440 88844240 91763735 95071640 100676300 104872840 107723641 107733050 111055300 112757456 118839550 120661016 124381936 124392800 131091050 133100296 137216800 140946820 146821976 150826270 155477420 161082080 166375370 172372880 176183525 177688480 183527470 190143280 194346775 201352600 209745680 215447282 215466100 222110600 225514912 230548727 237679100 241322032 248763872 254316637 262182100 266200592 281893640 293643952 301652540 310954840 332750740 344745760 352367050 367054940 377065675 380286560 388693550 402705200 415938425 419491360 430894564 430932200 444221200 458818675 461097454 475358200 482644064 508633274 524364200 532401184 538618205 563787280 587287904 603305080 621909680 665501480 704734100 734109880 754065487 754131350 777387100 805410400 831876850 861789128 861864400 888442400 917637350 922194908 950716400 1017266548 1048728400 1077236410 1127574560 1152743635 1206610160 1243819360 1271583185 1331002960 1409468200 1468219760 1508130974 1508262700 1554774200 1613841089 1663753700 1723578256 1723728800 1780216459 1835274700 1844389816 1901432800 2034533096 2097456800 2154472820 2305487270 2413220320 2543166370 2662005920 2693091025 2818936400 2936439520 3016261948 3016525400 3109548400 3227682178 3327507400 3447156512 3560432918 3670549400 3688779632 3770327435 4069066192 4308945640 4610974540 5086332740 5386182050 5637872800 5763718175 6032523896 6033050800 6219096800 6357915925 6455364356 6655014800 7120865836 7341098800 7377559264 7540654870 8069205445 8138132384 8617891280 8901082295 9221949080 10172665480 10772364100 11527436350 12065047792 12066101600 12715831850 12910728712 13310029600 14241731672 14682197600 15081309740 16138410890 17235782560 17802164590 18443898160 18851637175 20345330960 21544728200 23054872700 24130095584 24668713789 25431663700 25821457424 28483463344 30162619480 32276821780 35604329180 36887796320 37703274350 40346027225 40690661920 43089456400 44505411475 46109745400 49337427578 50863327400 51642914848 56966926688 60325238960 64553643560 71208658360 75406548700 80692054450 86178912800 89010822950 92219490800 98674855156 101726654800 120650477920 123343568945 129107287120 142417316720 150813097400 161384108900 172680996523 178021645900 184438981600 197349710312 203453309600 246687137890 258214574240 284834633440 301626194800 322768217800 345361993046 356043291800 394699420624 493374275780 603252389600 616717844725 645536435600 690723986092 712086583600 789398841248 863404982615 986748551560 1233435689450 1291072871200 1381447972184 1424173167200 1726809965230 1973497103120 2466871378900 2762895944368 3453619930460 3946994206240 4317024913075 4933742757800 5525791888736 6907239860920 8634049826150 9867485515600 13814479721840 17268099652300 19734971031200 27628959443680 34536199304600 69072398609200 138144797218400
- Sum of all divisors σ(n): 394828663254480
- Sum of proper divisors (its aliquot sum) s(n): 256683866036080
- 138144797218400 is an abundant number, because the sum of its proper divisors (256683866036080) is greater than itself. Its abundance is 118539068817680
Bases of 138144797218400
- Binary: 111110110100100010101111001000011010110011000002
- Hexadecimal: 0x7DA45790D660
- Base-36: 1CYUUDGY8W
Squares and roots of 138144797218400
- 138144797218400 squared (1381447972184002) is 19083984998512856377298560000
- 138144797218400 cubed (1381447972184003) is 2636353237738546169807272812394325504000000
-
The
square root of 138144797218400 is 11753501.4875738201 -
The
cube root of 138144797218400 is 51694.5601488583
Scales and comparisons
How big is 138144797218400?- 138,144,797,218,400 seconds is equal to 4,392,577 years, 12 weeks, 3 days, 22 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,144,797,218,400 would take you about ten million, nine hundred eighty-one thousand, four hundred forty-three 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 138144797218400 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138144797218400
- 138144797218400 backwards is 004812797441831
- The number of decimal digits it has is: 15
- The sum of 138144797218400's digits is 59
- More coming soon!
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The information we have on file for 138144797218400 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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