137357820709984
137,357,820,709,984 is an even composite number composed of six prime numbers multiplied together.
What does the number 137357820709984 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
137357820709984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 137357820709984:
25 × 74 × 192 × 41 × 43 × 532
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 19 × 19 × 41 × 43 × 53 × 53)See below for interesting mathematical facts about the number 137357820709984 from the Numbermatics database.
Names of 137357820709984
- Cardinal: 137357820709984 can be written as One hundred thirty-seven trillion, three hundred fifty-seven billion, eight hundred twenty million, seven hundred nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.37357820709984 × 1014
Factors of 137357820709984
Divisors of 137357820709984
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 38 41 43 49 53 56 76 82 86 98 106 112 133 152 164 172 196 212 224 266 287 301 304 328 343 344 361 371 392 424 532 574 602 608 656 686 688 722 742 779 784 817 848 931 1007 1064 1148 1204 1312 1372 1376 1444 1484 1558 1568 1634 1696 1763 1862 2009 2014 2107 2128 2173 2279 2296 2401 2408 2527 2597 2744 2809 2888 2968 3116 3268 3526 3724 4018 4028 4214 4256 4346 4558 4592 4802 4816 5054 5194 5453 5488 5618 5719 5776 5936 6232 6517 6536 7049 7052 7448 8036 8056 8428 8692 9116 9184 9604 9632 10108 10388 10906 10976 11236 11438 11552 11872 12341 12464 13034 13072 14063 14098 14104 14749 14801 14896 15211 15523 15953 16072 16112 16856 17384 17689 18179 18232 19133 19208 19663 20216 20776 21812 22472 22876 24682 24928 26068 26144 28126 28196 28208 29498 29602 29792 30422 31046 31906 32144 32224 33497 33712 34768 35378 36358 36464 38171 38266 38416 39326 40033 40432 41287 41552 43301 43624 44944 45619 45752 49343 49364 52136 53371 56252 56392 56416 58996 59204 60844 62092 63812 64288 66994 67424 69536 70756 72716 72928 76342 76532 76832 78652 80066 80864 82574 83104 86387 86602 87248 89888 91238 91504 93439 98441 98686 98728 103243 103607 104272 106477 106742 108661 111671 112504 112784 115169 117992 118408 120787 121688 123823 124184 127253 127624 133931 133988 137641 141512 145432 152684 153064 157304 160132 165148 172774 173204 174496 182476 183008 186878 196882 197372 197456 206486 207214 208544 212954 213484 217322 223342 225008 225568 230338 234479 235984 236816 241574 243376 247646 248368 254506 255248 267197 267862 267976 275282 280231 283024 289009 290864 303107 305368 306128 314608 320264 330296 345401 345548 346408 364952 373597 373756 393764 394744 394912 412972 414428 425908 426968 434644 446684 450016 460676 468958 471968 473632 483148 486752 495292 496736 509012 510496 534394 535724 535952 550564 560462 566048 578018 581728 604709 606214 610736 612256 629216 636443 640528 654073 660592 690802 691096 692816 725249 729904 745339 747194 747512 760627 781697 784453 787528 789488 806183 822719 825944 828856 845509 851816 853936 866761 869288 893368 921352 937517 937916 963487 966296 990584 1014049 1018024 1068788 1071448 1071904 1101128 1120924 1156036 1209418 1212428 1221472 1272886 1281056 1308146 1321184 1381604 1382192 1385632 1450498 1459808 1490678 1494388 1495024 1521254 1563394 1568906 1575056 1578976 1612366 1641353 1645438 1651888 1657712 1691018 1703632 1707872 1733522 1738576 1775341 1786736 1842704 1870379 1875034 1875832 1926974 1932592 1961617 1981168 2023063 2028098 2036048 2121749 2137576 2142896 2188211 2202256 2241848 2294953 2312072 2417807 2418836 2424856 2545772 2615179 2616292 2763208 2764384 2900996 2981356 2988776 2990048 3042508 3126788 3137812 3150112 3224732 3282706 3290876 3303776 3315424 3382036 3407264 3467044 3477152 3550682 3573472 3685408 3740758 3750068 3751664 3853948 3865184 3923234 3962336 4046126 4056196 4072096 4232963 4243498 4275152 4285792 4376422 4404512 4455101 4483696 4578511 4589906 4624144 4835614 4837672 4849712 4952267 5076743 5091544 5217373 5230358 5232584 5324389 5471879 5491171 5526416 5643281 5759033 5801992 5918563 5962712 5977552 6085016 6253576 6275624 6449464 6562619 6565412 6581752 6744409 6764072 6934088 7098343 7101364 7481516 7500136 7503328 7707896 7846468 8092252 8112392 8465926 8486996 8550304 8752844 8910202 8967392 9157022 9179812 9248288 9671228 9675344 9699424 9904534 10153486 10183088 10434746 10460716 10465168 10648778 10943758 10982342 11052832 11286562 11489471 11518066 11603984 11837126 11925424 11955104 12170032 12427387 12507152 12551248 12898928 13125238 13130824 13163504 13488818 13528144 13868176 14161441 14196686 14202728 14852243 14963032 15000272 15317477 15415792 15692936 16064671 16184504 16224784 16931852 16973992 17505688 17820404 18306253 18314044 18359624 19342456 19350688 19809068 20306972 20366176 20869492 20921432 20930336 21297556 21887516 21964684 22573124 22978942 23036132 23207968 23674252 23850848 24340064 24854774 25014304 25102496 25797856 26250476 26261648 26327008 26977636 27056288 27736352 28322882 28393372 28405456 29704486 29926064 30000544 30634954 30831584 31185707 31385872 32049577 32129342 32369008 32449568 33731479 33863704 33947984 34665869 35011376 35537201 35640808 36612506 36628088 36719248 37270723 38438197 38684912 39502967 39618136 40313231 40613944 41429941 41576009 41738984 41842864 42595112 43604107 43775032 43929368 45146248 45938333 45957884 46072264 47348504 49688401 49709548 52500952 52523296 53955272 56645764 56786744 56810912 59408972 59852128 61269908 62371414 62771744 64099154 64258684 64738016 67462958 67727408 67895968 69331738 70022752 71074402 71281616 73225012 73256176 73438496 74541446 76876394 77369824 79005934 79236272 80426297 80626462 81227888 82859882 83152018 83477968 83685728 85190224 86991709 87208214 87550064 87858736 90292496 91876666 91915768 92144528 94093073 94697008 99130087 99376802 99419096 103965701 105001904 107222339 107910544 112452697 113291528 113573488 118817944 122539816 124742828 128143771 128198308 128517368 134925916 135454816 138663476 142148804 142563232 146450024 146512352 149082892 153752788 158011868 158472544 160852594 161252924 162455776 165719764 166304036 166955936 170380448 173983418 174416428 175100128 175717472 180584992 183753332 183831536 184289056 188186146 189394016 198260174 198753604 198838192 207931402 210003808 214444678 215821088 218299949 224347039 224905394 226583056 227146976 236120353 237635888 242661083 245079632 249485656 256287542 256396616 257034736 269067379 269851832 276520769 277326952 282192617 284297608 290009587 291032063 292900048 298165784 305228749 307505576 316023736 321705188 322505848 331439528 332608072 347818807 347966836 348832856 367506664 367663072 376372292 396520348 397507208 397676384 415862804 428889356 436599898 448694078 449810788 453166112 472240706 475271776 485322166 490159264 498971312 512575084 512793232 514069472 538134758 539703664 553041538 554653904 564385234 568595216 580019174 582064126 585800096 596331568 608941963 610457498 615011152 632047472 643410376 645011696 658651511 662879056 665216144 695637614 695933672 697665712 735013328 750556373 752744584 787168879 793040696 795014416 831725608 857778712 873199796 897388156 899621576 944481412 970644332 997942624 1025150168 1025586464 1076269516 1079407328 1106083076 1109307808 1128770468 1137190432 1160038348 1164128252 1192663136 1217883926 1220914996 1230022304 1264094944 1286820752 1290023392 1317303022 1325758112 1330432288 1391275228 1391867344 1395331424 1470026656 1501112746 1505489168 1528099643 1574337758 1586081392 1590028832 1652842471 1663451216 1698627581 1715557424 1746399592 1787768387 1794776312 1799243152 1883471653 1888962824 1941288664 1975348319 2037224441 2050300336 2136601243 2152539032 2212166152 2257540936 2320076696 2328256504 2434731649 2435767852 2441829992 2573641504 2634606044 2782550456 2783734688 3002225492 3010978336 3056199286 3148675516 3172162784 3305684942 3326902432 3397255162 3431114848 3492799184 3575536774 3589552624 3598486304 3766943306 3777925648 3882577328 3950696638 4074448882 4100600672 4262593741 4273202486 4305078064 4424332304 4515081872 4610560577 4640153392 4656513008 4869463298 4871535704 4883659984 5253894611 5269212088 5510182153 5565100912 6004450984 6112398572 6297351032 6611369884 6794510324 6985598368 7151073548 7179105248 7533886612 7555851296 7765154656 7901393276 8148897764 8525187482 8546404972 8610156128 8848664608 9030163744 9221121154 9280306784 9313026016 9738926596 9743071408 9767319968 10507789222 10538424176 11020364306 11130201824 11569897297 11890393067 12008901968 12224797144 12514378709 12594702064 13222739768 13589020648 14260571087 14302147096 14956208701 15067773224 15802786552 16297795528 17050374964 17092809944 18442242308 19477853192 19486142816 21015578444 21076848352 22040728612 23139794594 23780786134 24017803936 24449594288 25028757418 25189404128 26445479536 27178041296 28521142174 28604294192 29912417402 30135546448 31605573104 32273924039 32595591056 34100749928 34185619888 36884484616 38955706384 42031156888 44081457224 46279589188 47561572268 48899188576 50057514836 52890959072 54356082592 57042284348 57208588384 59824834804 60271092896 63211146208 64547848078 65191182112 68201499856 68371239776 73768969232 77911412768 80989281079 84062313776 87600650963 88162914448 92559178376 95123144536 99823997609 100115029672 104693460907 114084568696 119649669608 129095696156 136402999712 147537938464 161978562158 168124627552 175201301926 176325828896 185118356752 190246289072 199647995218 200230059344 209386921814 225917468273 228169137392 239299339216 258191392312 323957124316 350402603852 370236713504 380492578144 399295990436 400460118688 418773843628 451834936546 456338274784 478598678432 516382784624 613204556741 647914248632 700805207704 798591980872 837547687256 903669873092 1032765569248 1226409113482 1295828497264 1401610415408 1597183961744 1675095374512 1807339746184 2452818226964 2591656994528 2803220830816 3194367923488 3350190749024 3614679492368 4292431897187 4905636453928 7229358984736 8584863794374 9811272907856 17169727588748 19622545815712 34339455177496 68678910354992 137357820709984
- Sum of all divisors σ(n): 355714811370072
- Sum of proper divisors (its aliquot sum) s(n): 218356990660088
- 137357820709984 is an abundant number, because the sum of its proper divisors (218356990660088) is greater than itself. Its abundance is 80999169950104
Bases of 137357820709984
- Binary: 111110011101101000111000001110001001100011000002
- Hexadecimal: 0x7CED1C1C4C60
- Base-36: 1COTB7Z61S
Squares and roots of 137357820709984
- 137357820709984 squared (1373578207099842) is 18867170910196109453837280256
- 137357820709984 cubed (1373578207099843) is 2591553479187342838565154025166409505275904
-
The
square root of 137357820709984 is 11719975.2862360593 -
The
cube root of 137357820709984 is 51596.2094733211
Scales and comparisons
How big is 137357820709984?- 137,357,820,709,984 seconds is equal to 4,367,553 years, 42 weeks, 5 days, 13 hours, 13 minutes, 4 seconds.
-
To count from 1 to 137,357,820,709,984 would take you about ten million, nine hundred eighteen thousand, eight hundred eighty-four 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 137357820709984 cubic inches would be around 4299.7 feet tall.
Recreational maths with 137357820709984
- 137357820709984 backwards is 489907028753731
- The number of decimal digits it has is: 15
- The sum of 137357820709984's digits is 73
- More coming soon!
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The information we have on file for 137357820709984 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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