137681446769398680
137,681,446,769,398,680 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137681446769398680 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 512 divisors.
137681446769398680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 137681446769398680:
23 × 3 × 5 × 17 × 73 × 149 × 881 × 7043041
(2 × 2 × 2 × 3 × 5 × 17 × 73 × 149 × 881 × 7043041)See below for interesting mathematical facts about the number 137681446769398680 from the Numbermatics database.
Names of 137681446769398680
- Cardinal: 137681446769398680 can be written as One hundred thirty-seven quadrillion, six hundred eighty-one trillion, four hundred forty-six billion, seven hundred sixty-nine million, three hundred ninety-eight thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3768144676939868 × 1017
Factors of 137681446769398680
Divisors of 137681446769398680
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 73 85 102 120 136 146 149 170 204 219 255 292 298 340 365 408 438 447 510 584 596 680 730 745 876 881 894 1020 1095 1192 1241 1460 1490 1752 1762 1788 2040 2190 2235 2482 2533 2643 2920 2980 3524 3576 3723 4380 4405 4470 4964 5066 5286 5960 6205 7048 7446 7599 8760 8810 8940 9928 10132 10572 10877 12410 12665 13215 14892 14977 15198 17620 17880 18615 20264 21144 21754 24820 25330 26430 29784 29954 30396 32631 35240 37230 37995 43508 44931 49640 50660 52860 54385 59908 60792 64313 65262 74460 74885 75990 87016 89862 101320 105720 108770 119816 128626 130524 131269 148920 149770 151980 163155 179724 184909 192939 217540 224655 257252 261048 262538 299540 303960 321565 326310 359448 369818 385878 393807 435080 449310 514504 525076 554727 599080 643130 652620 656345 739636 771756 787614 898620 924545 964695 1050152 1093321 1109454 1286260 1305240 1312690 1479272 1543512 1575228 1797240 1849090 1929390 1969035 2186642 2218908 2231573 2572520 2625380 2773635 3150456 3279963 3698180 3858780 3938070 4373284 4437816 4463146 5250760 5466605 5547270 6559926 6694719 7043041 7396360 7717560 7876140 8746568 8926292 9582637 10933210 11094540 11157865 13119852 13389438 14086082 15752280 16399815 17852584 19165274 21129123 21866420 22189080 22315730 26239704 26778876 28172164 28747911 32799630 33473595 35215205 38330548 42258246 43732840 44631460 47913185 53557752 56344328 57495822 65599260 66947190 70430410 76661096 84516492 89262920 95826370 105645615 114991644 119731697 131198520 133894380 140860820 143739555 162904829 169032984 191652740 211291230 229983288 239463394 267788760 281721640 287479110 325809658 359195091 383305480 422582460 478926788 488714487 514141993 574958220 598658485 651619316 718390182 814524145 845164920 957853576 977428974 1028283986 1049413109 1149916440 1197316970 1303238632 1436780364 1542425979 1629048290 1795975455 1954857948 2056567972 2098826218 2394633940 2443572435 2570709965 2873560728 3084851958 3148239327 3258096580 3591950910 3909715896 4113135944 4197652436 4789267880 4887144870 5141419930 5247065545 6169703916 6204919121 6296478654 6516193160 7183901820 7712129895 8395304872 8740413881 9774289740 10282839860 10494131090 12339407832 12409838242 12592957308 14367803640 15424259790 15741196635 17480827762 17840022853 18614757363 19548579480 20565679720 20988262180 24819676484 25185914616 26221241643 30848519580 31024595605 31482393270 34961655524 35680045706 37229514726 41976524360 43702069405 49639352968 52442483286 53520068559 61697039160 62049191210 62964786540 69923311048 71360091412 74459029452 76607156957 87404138810 89200114265 93073786815 104884966572 105483625057 107040137118 124098382420 125929573080 131106208215 142720182824 148918058904 153214313914 174808277620 178400228530 186147573630 209769933144 210967250114 214080274236 229821470871 248196764840 262212416430 267600342795 306428627828 316450875171 349616555240 356800457060 372295147260 383035784785 421934500228 428160548472 452959095833 459642941742 524424832860 527418125285 535200685590 612857255656 632901750342 713600914120 744590294520 766071569570 843869000456 905918191666 919285883484 924532949029 1048849665720 1054836250570 1070401371180 1149107354355 1265803500684 1302321668269 1358877287499 1532143139140 1582254375855 1811836383332 1838571766968 1849065898058 2109672501140 2140802742360 2264795479165 2298214708710 2531607001368 2604643336538 2717754574998 2773598847087 3064286278280 3164508751710 3623672766664 3698131796116 3906965004807 4219345002280 4529590958330 4596429417420 4622664745145 5209286673076 5435509149996 5547197694174 6329017503420 6511608341345 6794386437495 7396263592232 7700304629161 7813930009614 9059181916660 9192858834840 9245329490290 10418573346152 10871018299992 11094395388348 12658035006840 13023216682690 13588772874990 13867994235435 15400609258322 15627860019228 15717060133493 18118363833320 18490658980580 19534825024035 22188790776696 23100913887483 26046433365380 27177545749980 27735988470870 30801218516644 31255720038456 31434120266986 36981317961160 38501523145805 39069650048070 46201827774966 47151180400479 52092866730760 54355091499960 55471976941740 61602437033288 62868240533972 67490905279117 77003046291610 78139300096140 78585300667465 92403655549932 94302360800958 110943953883480 115504569437415 125736481067944 134981810558234 154006092583220 156278600192280 157170601334930 184807311099864 188604721601916 202472715837351 231009138874830 235755902002395 269963621116468 308012185166440 314341202669860 337454526395585 377209443203832 404945431674702 462018277749660 471511804004790 539927242232936 628682405339720 674909052791170 809890863349404 924036555499320 943023608009580 1012363579186755 1147345389744989 1349818105582340 1619781726698808 1886047216019160 2024727158373510 2294690779489978 2699636211164680 3442036169234967 4049454316747020 4589381558979956 5736726948724945 6884072338469934 8098908633494040 9178763117959912 11473453897449890 13768144676939868 17210180846174835 22946907794899780 27536289353879736 34420361692349670 45893815589799560 68840723384699340 137681446769398680
- Sum of all divisors σ(n): 446814077828832000
- Sum of proper divisors (its aliquot sum) s(n): 309132631059433320
- 137681446769398680 is an abundant number, because the sum of its proper divisors (309132631059433320) is greater than itself. Its abundance is 171451184290034640
Bases of 137681446769398680
- Binary: 1111010010010010010001011110111101101101000010011100110002
- Hexadecimal: 0x1E9248BDEDA1398
- Base-36: 11NNZZGWVZ4O
Squares and roots of 137681446769398680
- 137681446769398680 squared (1376814467693986802) is 18956180784514762217756888785742400
- 137681446769398680 cubed (1376814467693986803) is 2609914395634267343933957815338220608167405380032000
-
The
square root of 137681446769398680 is 371054506.4669053173 -
The
cube root of 137681446769398680 is 516366.9929559049
Scales and comparisons
How big is 137681446769398680?- 137,681,446,769,398,680 seconds is equal to 4,377,844,130 years, 30 weeks, 4 days, 16 hours, 58 minutes.
-
To count from 1 to 137,681,446,769,398,680 would take you about thirteen billion, one hundred thirty-three million, five hundred thirty-two thousand, three hundred ninety-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 137681446769398680 cubic inches would be around 43030.6 feet tall.
Recreational maths with 137681446769398680
- 137681446769398680 backwards is 086893967644186731
- The number of decimal digits it has is: 18
- The sum of 137681446769398680's digits is 96
- More coming soon!
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The information we have on file for 137681446769398680 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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