137728968575375728
137,728,968,575,375,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 137728968575375728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
137728968575375728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137728968575375728:
24 × 192 × 23 × 293 × 3493
(2 × 2 × 2 × 2 × 19 × 19 × 23 × 29 × 29 × 29 × 349 × 349 × 349)See below for interesting mathematical facts about the number 137728968575375728 from the Numbermatics database.
Names of 137728968575375728
- Cardinal: 137728968575375728 can be written as One hundred thirty-seven quadrillion, seven hundred twenty-eight trillion, nine hundred sixty-eight billion, five hundred seventy-five million, three hundred seventy-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37728968575375728 × 1017
Factors of 137728968575375728
Divisors of 137728968575375728
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 8 16 19 23 29 38 46 58 76 92 116 152 184 232 304 349 361 368 437 464 551 667 698 722 841 874 1102 1334 1396 1444 1682 1748 2204 2668 2792 2888 3364 3496 4408 5336 5584 5776 6631 6728 6992 8027 8303 8816 10121 10469 10672 12673 13262 13456 15979 16054 16606 19343 20242 20938 24389 25346 26524 31958 32108 33212 38686 40484 41876 48778 50692 53048 63916 64216 66424 77372 80968 83752 97556 101384 106096 121801 125989 127832 128432 132848 152513 154744 161936 167504 192299 195112 202768 232783 240787 243602 251978 255664 293509 303601 305026 309488 367517 384598 390224 463391 465566 481574 487204 503956 560947 587018 607202 610052 735034 769196 926782 931132 963148 974408 1007912 1121894 1174036 1214404 1220104 1470068 1538392 1853564 1862264 1926296 1948816 2015824 2243788 2314219 2348072 2428808 2440208 2801423 2897747 2940136 3076784 3532229 3653681 3707128 3724528 3852592 4422877 4487576 4628438 4696144 4857616 5576671 5602846 5795494 5880272 6750707 6982823 7064458 7307362 7414256 8511761 8804429 8845754 8975152 9256876 10657993 11153342 11205692 11590988 13501414 13965646 14128916 14614724 17023522 17608858 17691508 18513752 21315986 22306684 22411384 23181976 27002828 27931292 28257832 29229448 34047044 35217716 35383016 37027504 42508549 42631972 43970161 44613368 44822768 46363952 53227037 54005656 55862584 56515664 58458896 67112351 68094088 70435432 70766032 81241267 84034663 85017098 85263944 87940322 89226736 102434641 105956749 106454074 108011312 111725168 128263433 134224702 136188176 140870864 161723459 162482534 168069326 170034196 170527888 175880644 195770503 202501867 204869282 211913498 212908148 256526866 268449404 323446918 324965068 336138652 340068392 351761288 391541006 405003734 409738564 423826996 425816296 513053732 536898808 646893836 649930136 672277304 680136784 703522576 783082012 807662431 810007468 819477128 847653992 851632592 977696627 1011313703 1026107464 1073797616 1232747921 1275134669 1293787672 1299860272 1344554608 1543584073 1566164024 1615324862 1620014936 1638954256 1695307984 1946258179 1955393254 2022627406 2052214928 2355996743 2437005227 2465495842 2550269338 2587575344 2970604589 3072745721 3087168146 3132328048 3230649724 3240029872 3719639557 3892516358 3910786508 4045254812 4711993486 4874010454 4930991684 5100538676 5941209178 6145491442 6174336292 6461299448 7439279114 7785032716 7821573016 8090509624 9423986972 9748020908 9861983368 10201077352 11882418356 12290982884 12348672584 12922598896 14878558228 15345586189 15570065432 15643146032 16181019248 18576235913 18847973944 19496041816 19723966736 20402154704 23422210499 23764836712 24581965768 24697345168 28353202183 29328097387 29757116456 30691172378 31140130864 35749689709 36978905401 37152471826 37695947888 38992083632 44763938117 46844420998 47529673424 49163931536 56441487191 56706404366 58656194774 59514232912 61382344756 68323905547 70673151583 71499379418 73957810802 74304943652 89527876234 93688841996 112882974382 113412808732 117312389548 122764689512 136647811094 141346303166 142998758836 147915621604 148609887304 179055752468 187377683992 225765948764 226825617464 234624779096 245529379024 273295622188 282692606332 285997517672 295831243208 297219774608 352948482347 358111504936 374755367984 445021999481 451531897528 453651234928 469249558192 538710841477 546591244376 565385212664 571995035344 591662486416 679244104471 705896964694 716223009872 822242863307 850514824223 890043998962 903063795056 1036741001561 1072388256629 1077421682954 1093182488752 1130770425328 1298154205393 1358488208942 1411793929388 1644485726614 1701029648446 1780087997924 2073482003122 2144776513258 2154843365908 2596308410786 2716976417884 2823587858776 3288971453228 3402059296892 3560175995848 4146964006244 4289553026516 4309686731816 5192616821572 5433952835768 5647175717552 6577942906456 6804118593784 7120351991696 8293928012488 8579106053032 8619373463632 10235505988063 10385233643144 10867905671536 12905637984949 13155885812912 13608237187568 15622614402833 16587856024976 17158212106064 19698079029659 20471011976126 20770467286288 23845043035903 24664929902467 25811275969898 31245228805666 39396158059318 40942023952252 47690086071806 49329859804934 51622551939796 62490457611332 78792316118636 81884047904504 95380172143612 98659719609868 103245103879592 124980915222664 157584632237272 163768095809008 190760344287224 197319439219736 206490207759184 249961830445328 296829673653827 315169264474544 374263501563521 381520688574448 394638878439472 453055817682157 593659347307654 748527003127042 906111635364314 1187318694615308 1497054006254084 1812223270728628 2374637389230616 2994108012508168 3624446541457256 4749274778461232 5988216025016336 7248893082914512 8608060535960983 17216121071921966 34432242143843932 68864484287687864 137728968575375728
- Sum of all divisors σ(n): 305248628493648000
- Sum of proper divisors (its aliquot sum) s(n): 167519659918272272
- 137728968575375728 is an abundant number, because the sum of its proper divisors (167519659918272272) is greater than itself. Its abundance is 29790691342896544
Bases of 137728968575375728
- Binary: 1111010010100111111000100011001110011011101011001011100002
- Hexadecimal: 0x1E94FC467375970
- Base-36: 11O4UEOP6ULS
Squares and roots of 137728968575375728
- 137728968575375728 squared (1377289685753757282) is 18969268784836834790434636371529984
- 137728968575375728 cubed (1377289685753757283) is 2612617824364648140776227917668145616060855017828352
-
The
square root of 137728968575375728 is 371118537.0947882577 -
The
cube root of 137728968575375728 is 516426.3954629965
Scales and comparisons
How big is 137728968575375728?- 137,728,968,575,375,728 seconds is equal to 4,379,355,177 years, 1 week, 2 days, 5 hours, 15 minutes, 28 seconds.
-
To count from 1 to 137,728,968,575,375,728 would take you about thirteen billion, one hundred thirty-eight million, sixty-five thousand, five hundred thirty-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 137728968575375728 cubic inches would be around 43035.5 feet tall.
Recreational maths with 137728968575375728
- 137728968575375728 backwards is 827573575869827731
- The number of decimal digits it has is: 18
- The sum of 137728968575375728's digits is 100
- More coming soon!
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The information we have on file for 137728968575375728 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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