137224621124864
137,224,621,124,864 is an even composite number composed of five prime numbers multiplied together.
What does the number 137224621124864 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 810 divisors.
137224621124864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 137224621124864:
28 × 72 × 134 × 192 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 13 × 13 × 19 × 19 × 1061)See below for interesting mathematical facts about the number 137224621124864 from the Numbermatics database.
Names of 137224621124864
- Cardinal: 137224621124864 can be written as One hundred thirty-seven trillion, two hundred twenty-four billion, six hundred twenty-one million, one hundred twenty-four thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.37224621124864 × 1014
Factors of 137224621124864
Divisors of 137224621124864
- Number of divisors d(n): 810
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 64 76 91 98 104 112 128 133 152 169 182 196 208 224 247 256 266 304 338 361 364 392 416 448 494 532 608 637 676 722 728 784 832 896 931 988 1061 1064 1183 1216 1274 1352 1444 1456 1568 1664 1729 1792 1862 1976 2122 2128 2197 2366 2432 2527 2548 2704 2888 2912 3136 3211 3328 3458 3724 3952 4244 4256 4394 4693 4732 4864 5054 5096 5408 5776 5824 6272 6422 6916 7427 7448 7904 8281 8488 8512 8788 9386 9464 10108 10192 10816 11552 11648 12103 12544 12844 13793 13832 14854 14896 15379 15808 16562 16976 17024 17576 17689 18772 18928 20159 20216 20384 21632 22477 23104 23296 24206 25688 27586 27664 28561 29708 29792 30758 31616 32851 33124 33952 34048 35152 35378 37544 37856 40318 40432 40768 41743 43264 44954 46208 48412 51376 51989 55172 55328 57122 59416 59584 61009 61516 63232 65702 66248 67904 70304 70756 75088 75712 80636 80864 81536 83486 89908 92416 96551 96824 102752 103978 107653 110344 110656 114244 118832 119168 122018 123032 131404 132496 135808 140608 141113 141512 150176 151424 157339 161272 161728 163072 166972 179309 179816 193102 193648 199927 205504 207956 215306 220688 221312 228488 229957 237664 238336 244036 246064 262067 262808 264992 271616 281216 282226 283024 292201 300352 302848 314678 322544 323456 333944 358618 359632 383021 386204 387296 399854 411008 415912 427063 430612 441376 442624 456976 459914 475328 488072 492128 524134 525616 529984 542659 562432 564452 566048 584402 600704 629356 645088 646912 667888 675857 717236 719264 766042 772408 774592 793117 799708 822016 831824 854126 861224 882752 913952 919828 950656 976144 984256 987791 1048268 1051232 1059968 1085318 1128904 1132096 1168804 1201408 1255163 1258712 1290176 1335776 1351714 1399489 1434472 1438528 1532084 1544816 1549184 1586234 1599416 1663648 1708252 1722448 1765504 1827904 1834469 1839656 1901312 1952288 1968512 1975582 2045407 2096536 2102464 2119936 2170636 2257808 2264192 2331017 2337608 2510326 2517424 2580352 2671552 2681147 2703428 2798978 2868944 2877056 2989441 3064168 3089632 3098368 3172468 3198832 3327296 3406871 3416504 3444896 3531008 3655808 3668938 3679312 3798613 3904576 3937024 3951164 4090814 4193072 4204928 4341272 4515616 4528384 4662034 4675216 4979273 5020652 5034848 5160704 5343104 5362294 5406856 5551819 5597956 5737888 5754112 5978882 6128336 6179264 6344936 6397664 6654592 6813742 6833008 6889792 7311616 7337876 7358624 7597226 7809152 7902328 8181628 8386144 8409856 8682544 8786141 9031232 9324068 9350432 9958546 10041304 10069696 10310521 10686208 10724588 10813712 11103638 11195912 11475776 11957764 12256672 12358528 12689872 12795328 12841283 13309184 13627484 13666016 13779584 14675752 14717248 15194452 15618304 15804656 16317119 16363256 16772288 17365088 17572282 18062464 18648136 18700864 18768029 19917092 20082608 20139392 20621042 21449176 21627424 22207276 22391824 22951552 23848097 23915528 24513344 24717056 25379744 25590656 25682566 26590291 27254968 27332032 27559168 29351504 29434496 30303221 30388904 31609312 32634238 32726512 33544576 34730176 34854911 35144564 36124928 37296272 37401728 37536058 38862733 39834184 40165216 40278784 41242084 42898352 43254848 44289323 44414552 44783648 45903104 47696194 47831056 49026688 50759488 51181312 51365132 53180582 54509936 54664064 58703008 58868992 60606442 60777808 63218624 64730549 65268476 65453024 67089152 69460352 69709822 70289128 72173647 74592544 74803456 75072116 77725466 79668368 80330432 82484168 85796704 86509696 88578646 88829104 89567296 95392388 95662112 98053376 101518976 102730264 106361164 109019872 109328128 114219833 117406016 121212884 121555616 126437248 129461098 130536952 130906048 138920704 139419644 140578256 144347294 149185088 150144232 155450932 159336736 160660864 164968336 166936679 171593408 173019392 177157292 177658208 179134592 190784776 191324224 203037952 205460528 212122547 212722328 218039744 228439666 234812032 242425768 243111232 243984377 252874496 258922196 261073904 261812096 278839288 281156512 288694588 298370176 300288464 310025261 310901864 318673472 321321728 329936672 333873358 343186816 354314584 355316416 358269184 381569552 382648448 410921056 424245094 425444656 436079488 453113843 456879332 469624064 484851536 486222464 487968754 505215529 517844392 522147808 523624192 557678576 562313024 575761199 577389176 596740352 600576928 620050522 621803728 637346944 659873344 667746716 686373632 708629168 710632832 763139104 765296896 821842112 841497137 848490188 850889312 872158976 906227686 913758664 969703072 972444928 975937508 1010431058 1035688784 1044295616 1115357152 1124626048 1151522398 1154778352 1201153856 1240101044 1243607456 1274693888 1319746688 1335493432 1417258336 1421265664 1484857829 1526278208 1643684224 1682994274 1696980376 1701778624 1812455372 1827517328 1939406144 1951875016 2020862116 2071377568 2088591232 2170176827 2230714304 2249252096 2303044796 2309556704 2402307712 2480202088 2487214912 2639493376 2670986864 2834516672 2969715658 3052556416 3171796901 3287368448 3365988548 3393960752 3403557248 3624910744 3655034656 3878812288 3903750032 4030328393 4041724232 4142755136 4177182464 4340353654 4461428608 4606089592 4619113408 4804615424 4960404176 4974429824 5341973728 5669033344 5890479959 5939431316 6105112832 6343593802 6731977096 6787921504 6807114496 7249821488 7310069312 7757624576 7807500064 8060656786 8083448464 8285510272 8680707308 8922857216 9212179184 9238226816 9920808352 9948859648 10683947456 10939462781 11338066688 11780959918 11878862632 12687187604 13463954192 13575843008 14499642976 14620138624 15615000128 16121313572 16166896928 16571020544 17361414616 18424358368 18476453632 19841616704 21367894912 21878925562 23561919836 23757725264 25374375208 26927908384 27151686016 28212298751 28999285952 29240277248 31230000256 32242627144 32333793856 34722829232 36848716736 39683233408 41233359713 42735789824 43757851124 47123839672 47515450528 50748750416 53855816768 54303372032 56424597502 57998571904 62460000512 64485254288 64667587712 69445658464 73697433472 76576239467 79366466816 82466719426 87515702248 94247679344 95030901056 101497500832 107711633536 112849195004 115997143808 128970508576 129335175424 138891316928 147394866944 153152478934 164933438852 175031404496 188495358688 190061802112 202995001664 215423267072 225698390008 257941017152 277782633856 306304957868 329866877704 350062808992 376990717376 380123604224 405990003328 451396780016 515882034304 536033676269 555565267712 612609915736 659733755408 700125617984 753981434752 811980006656 902793560032 1031764068608 1072067352538 1225219831472 1319467510816 1400251235968 1507962869504 1805587120064 2144134705076 2450439662944 2638935021632 2800502471936 3611174240128 4288269410152 4900879325888 5277870043264 7222348480256 8576538820304 9801758651776 10555740086528 17153077640608 19603517303552 34306155281216 68612310562432 137224621124864
- Sum of all divisors σ(n): 364652834739354
- Sum of proper divisors (its aliquot sum) s(n): 227428213614490
- 137224621124864 is an abundant number, because the sum of its proper divisors (227428213614490) is greater than itself. Its abundance is 90203592489626
Bases of 137224621124864
- Binary: 111110011001110000110001100101111101101000000002
- Hexadecimal: 0x7CCE18CBED00
- Base-36: 1CN44CDSE8
Squares and roots of 137224621124864
- 137224621124864 squared (1372246211248642) is 18830596642862471168679018496
- 137224621124864 cubed (1372246211248643) is 2584021489871938580459784983771526981484544
-
The
square root of 137224621124864 is 11714291.3197881499 -
The
cube root of 137224621124864 is 51579.5260004985
Scales and comparisons
How big is 137224621124864?- 137,224,621,124,864 seconds is equal to 4,363,318 years, 25 weeks, 2 days, 16 hours, 27 minutes, 44 seconds.
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To count from 1 to 137,224,621,124,864 would take you about ten million, nine hundred eight thousand, two hundred ninety-six 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 137224621124864 cubic inches would be around 4298.3 feet tall.
Recreational maths with 137224621124864
- 137224621124864 backwards is 468421126422731
- The number of decimal digits it has is: 15
- The sum of 137224621124864's digits is 53
- More coming soon!
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The information we have on file for 137224621124864 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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