137668491650820096
137,668,491,650,820,096 is an even composite number composed of four prime numbers multiplied together.
What does the number 137668491650820096 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1008 divisors.
137668491650820096 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 137668491650820096:
211 × 36 × 533 × 7872
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 53 × 53 × 53 × 787 × 787)See below for interesting mathematical facts about the number 137668491650820096 from the Numbermatics database.
Names of 137668491650820096
- Cardinal: 137668491650820096 can be written as One hundred thirty-seven quadrillion, six hundred sixty-eight trillion, four hundred ninety-one billion, six hundred fifty million, eight hundred twenty thousand and ninety-six.
Scientific notation
- Scientific notation: 1.37668491650820096 × 1017
Factors of 137668491650820096
Divisors of 137668491650820096
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 144 159 162 192 212 216 243 256 288 318 324 384 424 432 477 486 512 576 636 648 729 768 787 848 864 954 972 1024 1152 1272 1296 1431 1458 1536 1574 1696 1728 1908 1944 2048 2304 2361 2544 2592 2809 2862 2916 3072 3148 3392 3456 3816 3888 4293 4608 4722 5088 5184 5618 5724 5832 6144 6296 6784 6912 7083 7632 7776 8427 8586 9216 9444 10176 10368 11236 11448 11664 12592 12879 13568 13824 14166 15264 15552 16854 17172 18432 18888 20352 20736 21249 22472 22896 23328 25184 25281 25758 27136 27648 28332 30528 31104 33708 34344 37776 38637 40704 41472 41711 42498 44944 45792 46656 50368 50562 51516 54272 55296 56664 61056 62208 63747 67416 68688 75552 75843 77274 81408 82944 83422 84996 89888 91584 93312 100736 101124 103032 108544 113328 122112 124416 125133 127494 134832 137376 148877 151104 151686 154548 162816 165888 166844 169992 179776 183168 186624 191241 201472 202248 206064 226656 227529 244224 248832 250266 254988 269664 274752 297754 302208 303372 309096 325632 333688 339984 359552 366336 373248 375399 382482 402944 404496 412128 446631 453312 455058 488448 497664 500532 509976 539328 549504 573723 595508 604416 606744 618192 619369 667376 679968 682587 719104 732672 746496 750798 764964 805888 808992 824256 893262 906624 910116 976896 1001064 1019952 1078656 1099008 1126197 1147446 1191016 1208832 1213488 1236384 1238738 1334752 1339893 1359936 1365174 1438208 1465344 1492992 1501596 1529928 1611776 1617984 1648512 1786524 1813248 1820232 1858107 2002128 2039904 2047761 2157312 2198016 2210683 2252394 2294892 2382032 2417664 2426976 2472768 2477476 2669504 2679786 2719872 2730348 2876416 2930688 3003192 3059856 3235968 3297024 3378591 3573048 3626496 3640464 3716214 4004256 4019679 4079808 4095522 4314624 4396032 4421366 4504788 4589784 4764064 4835328 4853952 4945536 4954952 5339008 5359572 5439744 5460696 5574321 5752832 6006384 6119712 6471936 6594048 6632049 6757182 7146096 7252992 7280928 7432428 8008512 8039358 8159616 8191044 8629248 8792064 8842732 9009576 9179568 9528128 9707904 9891072 9909904 10135773 10678016 10719144 10879488 10921392 11148642 12012768 12059037 12239424 12943872 13188096 13264098 13514364 14292192 14505984 14561856 14864856 16017024 16078716 16319232 16382088 16722963 17258496 17685464 18019152 18359136 19056256 19415808 19782144 19819808 19896147 20271546 21356032 21438288 21758976 21842784 22297284 24025536 24118074 24478848 25887744 26376192 26528196 27028728 28584384 29123712 29729712 30407319 32034048 32157432 32638464 32764176 32826557 33445926 35370928 36038304 36177111 36718272 38112512 38831616 39564288 39639616 39792294 40543092 42712064 42876576 43517952 43685568 44594568 48051072 48236148 48957696 50168889 51775488 53056392 54057456 57168768 58247424 59459424 59688441 60814638 64068096 64314864 65276928 65528352 65653114 66891852 70741856 72076608 72354222 73436544 76225024 77663232 79128576 79279232 79584588 81086184 85424128 85753152 87371136 89189136 96102144 96472296 97915392 98479671 100337778 106112784 108114912 108531333 114337536 116494848 117166199 118918848 119376882 121629276 128136192 128629728 130553856 131056704 131306228 133783704 141483712 144153216 144708444 146873088 150506667 152450048 155326464 158558464 159169176 162172368 171506304 174742272 178378272 179065323 192204288 192944592 195830784 196959342 200675556 212225568 216229824 217062666 228675072 232989696 234332398 237837696 238753764 243258552 256272384 257259456 262113408 262612456 267567408 282967424 288306432 289416888 293746176 295439013 301013334 304900096 317116928 318338352 324344736 343012608 349484544 351498597 356756544 358130646 384408576 385889184 391661568 393918684 401351112 424451136 432459648 434125332 451520001 457350144 465979392 468664796 475675392 477507528 486517104 514518912 524226816 525224912 535134816 537195969 565934848 576612864 578833776 587492352 590878026 602026668 634233856 636676704 648689472 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2429558302464 2489664562551 2536639365618 2672344352256 2722765943808 2733253090272 2950713555616 3006387396288 3063111686784 3239411069952 3300532033536 3319552750068 3382185820824 3563125803008 3644337453696 4008516528384 4084148915712 4426070333424 4509581094432 4859116604928 4979329125102 5073278731236 5344688704512 5445531887616 5466506180544 5901427111232 6012774792576 6126223373568 6478822139904 6639105500136 6764371641648 7288674907392 7468993687653 8017033056768 8168297831424 8852140666848 9019162188864 9718233209856 9958658250204 10146557462472 10689377409024 10933012361088 11802854222464 12025549585152 12252446747136 13278211000272 13528743283296 14577349814784 14937987375306 16034066113536 16336595662848 17704281333696 18038324377728 19436466419712 19917316500408 20293114924944 21866024722176 22406981062959 23605708444928 24051099170304 24504893494272 26556422000544 27057486566592 29154699629568 29875974750612 32068132227072 35408562667392 36076648755456 39834633000816 40586229849888 43732049444352 44813962125918 47211416889856 48102198340608 49009786988544 53112844001088 54114973133184 58309399259136 59751949501224 67220943188877 70817125334784 72153297510912 79669266001632 81172459699776 87464098888704 89627924251836 94422833779712 96204396681216 106225688002176 108229946266368 119503899002448 134441886377754 141634250669568 144306595021824 159338532003264 162344919399552 174928197777408 179255848503672 188845667559424 212451376004352 216459892532736 239007798004896 268883772755508 283268501339136 288613190043648 318677064006528 324689838799104 358511697007344 424902752008704 432919785065472 478015596009792 537767545511016 566537002678272 637354128013056 649379677598208 717023394014688 849805504017408 865839570130944 956031192019584 1075535091022032 1274708256026112 1298759355196416 1434046788029376 1699611008034816 1912062384039168 2151070182044064 2549416512052224 2597518710392832 2868093576058752 3824124768078336 4302140364088128 5098833024104448 5736187152117504 7648249536156672 8604280728176256 11472374304235008 15296499072313344 17208561456352512 22944748608470016 34417122912705024 45889497216940032 68834245825410048 137668491650820096
- Sum of all divisors σ(n): 421187814420855300
- Sum of proper divisors (its aliquot sum) s(n): 283519322770035204
- 137668491650820096 is an abundant number, because the sum of its proper divisors (283519322770035204) is greater than itself. Its abundance is 145850831119215108
Bases of 137668491650820096
- Binary: 1111010010001100011000011100001011001110001101000000000002
- Hexadecimal: 0x1E918C3859C6800
- Base-36: 11NJENYXS000
Squares and roots of 137668491650820096
- 137668491650820096 squared (1376684916508200962) is 18952613593411922481157069357449216
- 137668491650820096 cubed (1376684916508200963) is 2609177726245848707705122029153575246146813072244736
-
The
square root of 137668491650820096 is 371037048.8924523773 -
The
cube root of 137668491650820096 is 516350.7966186093
Scales and comparisons
How big is 137668491650820096?- 137,668,491,650,820,096 seconds is equal to 4,377,432,197 years, 46 weeks, 2 days, 15 hours, 21 minutes, 36 seconds.
-
To count from 1 to 137,668,491,650,820,096 would take you about thirteen billion, one hundred thirty-two million, two hundred ninety-six thousand, five hundred ninety-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 137668491650820096 cubic inches would be around 43029.2 feet tall.
Recreational maths with 137668491650820096
- 137668491650820096 backwards is 690028056194866731
- 137668491650820096 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137668491650820096's digits is 81
- More coming soon!
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The information we have on file for 137668491650820096 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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